<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0" xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:googleplay="http://www.google.com/schemas/play-podcasts/1.0"><channel><title><![CDATA[Sat’s Nexus]]></title><description><![CDATA[Hey, I am Sat. My mind’s a messy yarn-ball of curiosity. Writing here helps me untangle it and share the threads with the world. Posts are sporadic (screw the algorithm), but always thoughtfully curious.]]></description><link>https://blog.satpugnet.com</link><image><url>https://substackcdn.com/image/fetch/$s_!PkF9!,w_256,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe233a5c8-1974-4780-95e9-b62eab5ae60d_400x400.png</url><title>Sat’s Nexus</title><link>https://blog.satpugnet.com</link></image><generator>Substack</generator><lastBuildDate>Wed, 08 Apr 2026 20:16:53 GMT</lastBuildDate><atom:link href="https://blog.satpugnet.com/feed" rel="self" type="application/rss+xml"/><copyright><![CDATA[Saturnin Pugnet]]></copyright><language><![CDATA[en]]></language><webMaster><![CDATA[satpugnet@substack.com]]></webMaster><itunes:owner><itunes:email><![CDATA[satpugnet@substack.com]]></itunes:email><itunes:name><![CDATA[Saturnin Pugnet]]></itunes:name></itunes:owner><itunes:author><![CDATA[Saturnin Pugnet]]></itunes:author><googleplay:owner><![CDATA[satpugnet@substack.com]]></googleplay:owner><googleplay:email><![CDATA[satpugnet@substack.com]]></googleplay:email><googleplay:author><![CDATA[Saturnin Pugnet]]></googleplay:author><itunes:block><![CDATA[Yes]]></itunes:block><item><title><![CDATA[How to Approximate Anything]]></title><description><![CDATA[The art of turning qualitative guesses into quantitative understanding.]]></description><link>https://blog.satpugnet.com/p/how-to-approximate-anything</link><guid isPermaLink="false">https://blog.satpugnet.com/p/how-to-approximate-anything</guid><dc:creator><![CDATA[Saturnin Pugnet]]></dc:creator><pubDate>Wed, 08 Apr 2026 16:02:19 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!Ionk!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!Ionk!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!Ionk!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 424w, https://substackcdn.com/image/fetch/$s_!Ionk!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 848w, https://substackcdn.com/image/fetch/$s_!Ionk!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 1272w, https://substackcdn.com/image/fetch/$s_!Ionk!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!Ionk!,w_2400,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp" width="1200" height="654.3956043956044" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;large&quot;,&quot;height&quot;:794,&quot;width&quot;:1456,&quot;resizeWidth&quot;:1200,&quot;bytes&quot;:417072,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/webp&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/183491027?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-large" alt="" srcset="https://substackcdn.com/image/fetch/$s_!Ionk!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 424w, https://substackcdn.com/image/fetch/$s_!Ionk!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 848w, https://substackcdn.com/image/fetch/$s_!Ionk!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 1272w, https://substackcdn.com/image/fetch/$s_!Ionk!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba8d7e47-c23d-42f8-ae59-418e1a6c47ac_1456x794.webp 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Since the dawn of time, humanity has used estimations</figcaption></figure></div><p>Ever since I was a child, I have had this <strong>strange obsession</strong> with putting everything into the context of numbers. While other children were busy doing normal things, my brain was usually occupied with questions like, <em>&#8220;How many ants do I need to stack to reach the moon?<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-1" href="#footnote-1" target="_self">1</a>&#8221;</em> or <em>&#8220;How many kilograms of food have humans eaten since the beginning of time?</em><a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-2" href="#footnote-2" target="_self">2</a><em>&#8221;</em></p><p>One of the side effects of this lifelong obsession<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-3" href="#footnote-3" target="_self">3</a> is that I can now <strong>approximate pretty much anything.</strong> It is a trick I still use to surprise my fianc&#233;e, who routinely (and unsuccessfully) tries to stump me with impossible questions.</p><p>You know those infamous hedge fund or Big Tech interview questions? The ones that most candidates find either scary or dumb, like, <em>&#8220;How many golf balls fit inside a Boeing 747?&#8221;</em> or <em>&#8220;How many windows are there in Tokyo?&#8221;</em><a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-4" href="#footnote-4" target="_self">4</a> While they are a nightmare for most people&#8230; To me, this is just a <strong>fun Tuesday afternoon.</strong></p><p>Being pathologically good at estimating is not just a party trick; it is a <strong>legitimate skill.</strong> It takes a world that is usually blurry and qualitative and snaps it into sharp, quantitative focus. It is one of the most versatile mental tools you can master.</p><p>So today, I want to map out exactly how this works. If you spend enough years putting numbers on things, you realize the <strong>math is actually the easy part.</strong> The hard part is knowing how to <strong>break the universe down into pieces.</strong> Here is how you can take a massive, blurry universe and approximate practically anything in five steps.</p><blockquote><p>As a bonus, once you are done internalizing your new skills, I made a mini-game to go with this post. <strong>Head over to the <a href="https://blog.satpugnet.com/i/183491027/bonus-1-the-estimation-game">Bonus 1 section</a> to test yourself</strong>.</p></blockquote><h2>1) Know your Anchor Numbers</h2><p>You can&#8217;t navigate the dark without lighthouses, and you won&#8217;t be estimating anything if you don&#8217;t have a few <strong>hard facts</strong> to anchor your math to reality.</p><p>There is no magic trick to acquiring these. You just have to cultivate a habit of being a <em>little too curious</em>. You become the kind of person who occasionally Googles, <em>"What is the diameter of the Earth?"</em> or <em>"What is the total GDP of the world?"</em> while waiting in line for coffee.</p><p>The golden rule here is that <strong>the <a href="https://en.wikipedia.org/wiki/Order_of_magnitude">order of magnitude</a> is everything, and exactness is useless.</strong> You don&#8217;t need to know that the population of the United States is exactly 334,914,895. "330 million" is great. "About 300 million" is perfectly fine. But if you think it is <em>3 billion</em>, you have accidentally annexed several continents, and your math is doomed. You just want to be able to put reality into the <strong>right buckets</strong><a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-5" href="#footnote-5" target="_self">5</a><strong>.</strong></p><blockquote><p>This habit alone already gives you an instant upgrade to your <strong>bullsh*t radar.</strong> For instance, if someone, say the president of a major North American country for the sake of example, were to claim they generated $10 trillion in new investment in just six months, you can call bullshit on the spot. Since you know the annual economic output of the entire planet is <strong>$100 trillion</strong>, you know this guy probably didn&#8217;t just casually manifest 10% of the world&#8217;s economy over the summer.<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-6" href="#footnote-6" target="_self">6</a></p></blockquote><p>Here are a few essential <strong>"Anchor Numbers"</strong> you should permanently memorize:</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!IIor!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!IIor!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!IIor!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!IIor!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!IIor!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!IIor!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png" width="1344" height="736" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:736,&quot;width&quot;:1344,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:1203293,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/183491027?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!IIor!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!IIor!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!IIor!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!IIor!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d1731d4-5796-48b9-84d5-3d7000758ea7_1344x736.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Example Anchor Numbers</figcaption></figure></div><p><em>(Note: I put together a master cheat sheet of the <a href="https://blog.satpugnet.com/i/183491027/bonus-2-the-cheat-sheet">100 of the most important Anchor Numbers</a> to help you estimate anything. Scroll down for the full visual list and a PDF download link at the bottom of this post)</em></p><div class="captioned-button-wrap" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/p/how-to-approximate-anything?utm_source=substack&utm_medium=email&utm_content=share&action=share&quot;,&quot;text&quot;:&quot;Share&quot;}" data-component-name="CaptionedButtonToDOM"><div class="preamble"><p class="cta-caption">Send that to a friend in dire need of upgrading their bullsh*t radar.</p></div><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/p/how-to-approximate-anything?utm_source=substack&utm_medium=email&utm_content=share&action=share&quot;,&quot;text&quot;:&quot;Share&quot;}" data-component-name="ButtonCreateButton"><a class="button primary" href="https://blog.satpugnet.com/p/how-to-approximate-anything?utm_source=substack&utm_medium=email&utm_content=share&action=share"><span>Share</span></a></p></div><h2>2) Master the Simple Estimations</h2><p>The second step is getting very good at estimating <strong>simple things.</strong> Just like anything else, you train this muscle by doing it regularly. You just start quietly putting numbers on your surroundings: <em>How many people are crammed into this coffee shop? How many windows are on that skyscraper? How many dogs live in my apartment building? How big is the GDP of Tanzania?</em></p><p>Make a quick, educated guess, and then immediately <strong>check reality</strong> to see how wrong you were.</p><p>What you are doing here is <strong>calibrating your brain.</strong> You are developing an estimation &#8220;taste&#8221; or &#8220;instinct.&#8221; The exact number still does not matter. You just want to reach a point where you can look at the physical world and instantly fire off a reasonable, <strong>order-of-magnitude ballpark guess.</strong></p><blockquote><p>The best part is that this creates a compounding flywheel. Every time you figure out a random quantity, like the daily foot traffic of a coffee shop, it gets deposited into your mental library as a brand new Anchor Number. The more you estimate, the richer your baseline reality becomes, you start reusing old estimates to build new ones, making every future calculation exponentially faster and more accurate.</p></blockquote><h2>3) Break the Complexity Down into Simple Parts</h2><p>If someone asks you an absurdly broad question, many people freeze unable to find a good angle. But a complex estimate is usually just a <strong>few simple estimates stacked together.</strong></p><p>Let&#8217;s say you want to figure out: <strong>How many people will do pushups in Paris today?</strong></p><p>If you try to guess that outright, you are just throwing darts blindfolded. But if you deconstruct it into a <strong>funnel</strong>, it just becomes a series of easy guesses:</p><ol><li><p><strong>The Base:</strong> How many people live in Paris? <em>(Anchor Number: ~9 million)</em></p></li><li><p><strong>The Active:</strong> What percentage of them exercise? <em>(Simple estimation: ~50%</em><a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-7" href="#footnote-7" target="_self">7</a><em>)</em></p></li><li><p><strong>The Routine:</strong> Of that group, what percentage do strength or bodyweight training? <em>(Simple estimation: ~30%)</em></p></li><li><p><strong>The Pushup:</strong> Of <em>that</em> group, what percentage actually do pushups? <em>(Simple estimation: ~50%)</em></p></li><li><p><strong>The Frequency:</strong> How many days a week do they do them? <em>(Simple estimation: About 2 days a week)</em></p></li></ol><p>By breaking it down, you have taken a <strong>hopelessly broad question</strong> and turned it into five very simple ones. You just need to figure out those smaller estimates, and the big answer will reveal itself.</p><h2>4) Crunch the Numbers</h2><p>The fourth step is to actually crunch the numbers.</p><p>You take the funnel you just built and start plugging in the values. Use your Anchor Numbers wherever possible. When you are missing a piece of data, use your simple estimation muscle to bridge the gap.</p><p><strong>You do not need a math degree for this part.</strong> The beauty of this framework is that the math itself is aggressively simple. You will never need a complex formula. 99% of the time, the entire problem can be unlocked with just basic, back-of-the-napkin addition, subtraction, multiplication, and division.</p><p>For this specific funnel, you literally just multiply down the chain. Let&#8217;s run the math on our Paris example:</p><p><em>9 million (Base) &#215; 50% (Active) &#215; 30% (Routine) &#215; 50% (Pushup) &#215; 30% (Frequency)</em> = <strong>~200,000 people.</strong></p><p>Just like that, you pulled a highly specific, totally plausible number out of thin air.</p><blockquote><p>Math tip: Round aggressively. The goal here is being roughly right, not perfectly accurate. If your funnel asks you to calculate 12% of 8,300, just find 10% of 8,000 and move on. Leave the exact math to the accountants.</p></blockquote><h2>5) Sanity Check the Result</h2><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!oiAc!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!oiAc!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!oiAc!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!oiAc!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!oiAc!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!oiAc!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png" width="1344" height="736" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:736,&quot;width&quot;:1344,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:1361733,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/183491027?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!oiAc!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!oiAc!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!oiAc!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!oiAc!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa71c8d-e464-4b19-a9cb-6ce4fd01c4ca_1344x736.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Don&#8217;t forget to sanity check</figcaption></figure></div><p>The final step is to <strong>sanity check your work.</strong></p><p>You must always verify your final answer against <strong>common sense</strong>. Do not trust your numbers blindly. If you are not careful, small estimation errors can compound into an absolutely absurd final result. This is where your Anchor Numbers come back to save you.</p><p>The best way to do this is to build a <strong>sanity range</strong> in your head. You just ask yourself what the absolute lower and upper bounds could possibly be before the number becomes completely illogical.</p><p>For example, look at our Paris pushup estimate. If your final math spit out 20 million, something is <strong>clearly broken</strong> since your Anchor Number for the entire population of Paris is only 9 million. On the flip side, if your estimate was 100 people, that also completely fails the <strong>smell test</strong> for a major metropolis.</p><p>A logical lower bound might be 1,000 and a realistic upper bound might be 2 million. Since our estimate of <strong>200,000</strong> sits comfortably inside that range, the math passes the sanity check.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!yoj2!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!yoj2!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!yoj2!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!yoj2!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!yoj2!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!yoj2!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png" width="1344" height="736" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/cb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:736,&quot;width&quot;:1344,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:1467737,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/183491027?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!yoj2!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!yoj2!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!yoj2!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!yoj2!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fcb34f4ab-84a7-490d-a1b5-2ea313af2812_1344x736.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Recipe to take a hopelessly blurry universe and snap it into sharp, quantitative focus</figcaption></figure></div><h2>A Practical Example: The Global Forest</h2><p>Let us put it all together with a question about the natural world:</p><blockquote><p><strong>How many trees are there on Earth? </strong>&#127795;&#127794;&#127796;</p></blockquote><p>Guessing that outright is just throwing darts blindfolded. But if we use our framework to break the complexity down into simple parts, the answer will reveal itself.</p><ul><li><p><strong>The Base </strong><em>(Anchor Number)</em><strong>:</strong> What is the total surface area of the Earth? You pull this straight from your mental library: <strong>~500 million square kilometers</strong>.</p></li><li><p><strong>The Land </strong><em>(Simple Estimation)</em><strong>:</strong> We know Earth is mostly water. Land makes up roughly a third of the surface. That gives us <strong>150 million square kilometers</strong> of solid ground.</p></li><li><p><strong>The Forest</strong> <em>(Simple Estimation)</em><strong>:</strong> What percentage of that land actually grows trees? Picture a globe. You have to subtract Antarctica, the Sahara desert, massive mountain ranges, the frozen tundra, and endless grassy plains. A reasonable guess is that maybe a third of the remaining habitable land is heavily forested. Call it <strong>30%</strong>. That leaves us with <strong>50 million square kilometers of forest</strong>.</p></li><li><p><strong>The Density </strong><em>(Simple Estimation)</em><strong>:</strong> This is the missing link. How many trees fit in a single square kilometer? To visualize this, picture walking through a typical woodland. How far apart are the tree trunks? Some are clustered, but to give the canopies room to catch sunlight, an average distance of about 4 meters apart feels right. That means one average tree claims a 4-by-4 meter patch of ground, or <strong>16 square meters</strong>.<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-8" href="#footnote-8" target="_self">8</a></p></li></ul><p><strong>Crunch the Numbers:</strong> Now we do the math. One square kilometer is exactly 1 million square meters. If we divide 1,000,000 by 16, we get roughly <strong>60,000 trees per square kilometer</strong>.</p><p>Then, we just multiply that by our total forest area: <strong>50 million square kilometers &#215; 60,000 trees = 3,000,000,000,000.</strong></p><p>So the answer is:</p><p><strong>There are roughly 3 trillion trees on Earth.</strong></p><blockquote><p>Fun fact: The mass of trees and other plants makes up about <strong>82%</strong> of the mass of all living things on Earth. Meanwhile, all 8 billion humans combined account for just <strong>0.01%</strong>. We like to think we are the main characters of this planet, but mathematically speaking, human civilization is basically just a rounding error in a giant wooden empire.</p></blockquote><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!G-Im!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!G-Im!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 424w, https://substackcdn.com/image/fetch/$s_!G-Im!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 848w, https://substackcdn.com/image/fetch/$s_!G-Im!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 1272w, https://substackcdn.com/image/fetch/$s_!G-Im!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!G-Im!,w_2400,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp" width="1200" height="654.3956043956044" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;large&quot;,&quot;height&quot;:794,&quot;width&quot;:1456,&quot;resizeWidth&quot;:1200,&quot;bytes&quot;:887538,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/webp&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/183491027?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-large" alt="" srcset="https://substackcdn.com/image/fetch/$s_!G-Im!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 424w, https://substackcdn.com/image/fetch/$s_!G-Im!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 848w, https://substackcdn.com/image/fetch/$s_!G-Im!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 1272w, https://substackcdn.com/image/fetch/$s_!G-Im!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F13e8a9c6-b662-47c9-9c94-f65b09b8860e_1456x794.webp 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">A small, local gathering of our silent wooden overlords</figcaption></figure></div><p>Last but not least,<strong> sanity check the result.</strong> Three trillion might sound completely made up at first. But if we verify it against another Anchor Number (the global human population of ~8 billion), it works out to about <strong>400 trees for every person alive</strong>. Given the sheer, sprawling size of places like the Amazon, the Congo basin, and the Siberian taiga, that ratio actually feels incredibly grounded.</p><p>And if you check the hard data, <a href="https://www.nature.com/articles/nature14967">a massive 2015 study from Yale University</a> using satellite imagery arrived at almost the exact same number: 3.04 trillion.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!mFzh!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!mFzh!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!mFzh!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!mFzh!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!mFzh!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!mFzh!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png" width="1344" height="736" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:736,&quot;width&quot;:1344,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:980844,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/183491027?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!mFzh!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 424w, https://substackcdn.com/image/fetch/$s_!mFzh!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 848w, https://substackcdn.com/image/fetch/$s_!mFzh!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 1272w, https://substackcdn.com/image/fetch/$s_!mFzh!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7f04a56d-e79a-4943-b6a7-71c78a3d3777_1344x736.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">The back-of-the-napkin math that gets us to 3 trillion</figcaption></figure></div><h2>In Defense of Overthinking It</h2><p>I think this ability to deconstruct complex ideas into simple quantities is the real reason I love approximating. People often assume that quantifying everything makes the world cold, robotic, and stripped of its magic. But it actually <strong>does the opposite.</strong></p><p>When you learn to approximate, the universe stops being an intimidating, opaque blur. Big, complex, impossible-to-grasp things suddenly become <strong>approachable</strong>. You realize that everything, from the macroeconomics of a metropolis to the micro-habits of your friends, can be deconstructed, understood, and wrangled into a manageable concept.</p><p>You don&#8217;t need to be perfectly accurate. You just need a <strong>decent Anchor Number</strong>, a bit of logic, and the right <strong>order of magnitude</strong>.</p><p>The universe is a lot less intimidating when you realize you can just put a number on it. And usually, it is a lot more entertaining, too.</p><p>Now it is your turn. <strong>Go look out a window and put a number on something.</strong> Have fun!</p><p></p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">My current estimation predicts that 2.4% of people who read this far will actually subscribe.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div><h2>Bonus 1: The Estimation Game</h2><p>I built a quick interactive game to test your new capability. You will be faced with a series of random questions where the goal is simply to guess the correct order of magnitude.<br><br>Head over to <a href="https://satpugnet.com/playground/estimation-game/">satpugnet.com/playground/estimation-game/</a> if you want to test your abilities.</p><h2>Bonus 2: The Cheat Sheet</h2><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!rr9V!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!rr9V!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 424w, https://substackcdn.com/image/fetch/$s_!rr9V!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 848w, https://substackcdn.com/image/fetch/$s_!rr9V!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 1272w, https://substackcdn.com/image/fetch/$s_!rr9V!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!rr9V!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png" width="1456" height="2059" 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srcset="https://substackcdn.com/image/fetch/$s_!rr9V!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 424w, https://substackcdn.com/image/fetch/$s_!rr9V!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 848w, https://substackcdn.com/image/fetch/$s_!rr9V!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 1272w, https://substackcdn.com/image/fetch/$s_!rr9V!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd0211070-31f7-4489-af1d-0eb108a50320_4961x7016.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!fRDz!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!fRDz!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 424w, https://substackcdn.com/image/fetch/$s_!fRDz!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 848w, https://substackcdn.com/image/fetch/$s_!fRDz!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 1272w, https://substackcdn.com/image/fetch/$s_!fRDz!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!fRDz!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png" width="1456" height="2059" 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srcset="https://substackcdn.com/image/fetch/$s_!fRDz!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 424w, https://substackcdn.com/image/fetch/$s_!fRDz!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 848w, https://substackcdn.com/image/fetch/$s_!fRDz!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 1272w, https://substackcdn.com/image/fetch/$s_!fRDz!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd43c23eb-857e-4bce-99fb-16544bf94bc3_4961x7016.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Full pdf downloadable here:</p><div class="file-embed-wrapper" data-component-name="FileToDOM"><div class="file-embed-container-reader"><div class="file-embed-container-top"><image class="file-embed-thumbnail-default" src="https://substackcdn.com/image/fetch/$s_!0Cy0!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack.com%2Fimg%2Fattachment_icon.svg"></image><div class="file-embed-details"><div class="file-embed-details-h1">Anchor Numbers</div><div class="file-embed-details-h2">121KB &#8729; PDF file</div></div><a class="file-embed-button wide" href="https://blog.satpugnet.com/api/v1/file/03157db4-9eba-498a-81a6-aef257d9d999.pdf"><span class="file-embed-button-text">Download</span></a></div><a class="file-embed-button narrow" href="https://blog.satpugnet.com/api/v1/file/03157db4-9eba-498a-81a6-aef257d9d999.pdf"><span class="file-embed-button-text">Download</span></a></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-1" href="#footnote-anchor-1" class="footnote-number" contenteditable="false" target="_self">1</a><div class="footnote-content"><p>In case you were wondering: it takes roughly <strong>170 billion</strong> ants to reach the moon (assuming an average ant length of <strong>2.3mm</strong> and a very cooperative vertical stack). Since there are about <strong>20 quadrillion</strong> ants on Earth, we actually have enough biological inventory to make <strong>50,000 round trips</strong>. I didn&#8217;t just calculate this for the essay; I actually did the math when I was nine. As you can imagine, I was socially unstoppable.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-2" href="#footnote-anchor-2" class="footnote-number" contenteditable="false" target="_self">2</a><div class="footnote-content"><p><strong>1.5 quadrillion</strong> kilograms. Or about <strong>150,000</strong> Great Pyramids of Giza.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-3" href="#footnote-anchor-3" class="footnote-number" contenteditable="false" target="_self">3</a><div class="footnote-content"><p>I owe most of this to my dad. He used car rides to teach me that the universe is just a big collection of things waiting to be counted, and that no mystery is too big for a quick back-of-the-napkin calculation.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-4" href="#footnote-anchor-4" class="footnote-number" contenteditable="false" target="_self">4</a><div class="footnote-content"><p>For the nerds in the room: these are usually called <strong><a href="https://en.wikipedia.org/wiki/Fermi_problem">Fermi problems</a></strong> or <strong>Fermi estimates</strong>, though humans were doing this kind of thing long before anyone decided to give it an Italian physicist&#8217;s name.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-5" href="#footnote-anchor-5" class="footnote-number" contenteditable="false" target="_self">5</a><div class="footnote-content"><p><a href="https://ourworldindata.org/">Our World In Data</a> is the absolute gold standard for curious people looking for Anchor Numbers, I strongly recommend exploring it if you don&#8217;t already know it.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-6" href="#footnote-anchor-6" class="footnote-number" contenteditable="false" target="_self">6</a><div class="footnote-content"><p>Any resemblance to persons living or dead is purely coincidental. &#128579;</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-7" href="#footnote-anchor-7" class="footnote-number" contenteditable="false" target="_self">7</a><div class="footnote-content"><p>That&#8217;s right, us French are very active. You would be surprised by the caloric burn required to sustain our baseline level of cultural snobbery.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-8" href="#footnote-anchor-8" class="footnote-number" contenteditable="false" target="_self">8</a><div class="footnote-content"><p>As a French person living in New York, I am morally obligated to use meters. But for my American friends who stubbornly refuse the metric system and prefer to measure distance in bald eagles per monster truck: <strong>4 meters is about</strong> <strong>13 feet</strong>, or roughly the length of one standard sedan.</p></div></div>]]></content:encoded></item><item><title><![CDATA[Quiet Echoes]]></title><description><![CDATA[A reflection on the permanence of character]]></description><link>https://blog.satpugnet.com/p/quiet-echoes</link><guid isPermaLink="false">https://blog.satpugnet.com/p/quiet-echoes</guid><dc:creator><![CDATA[Saturnin Pugnet]]></dc:creator><pubDate>Tue, 02 Dec 2025 15:13:18 GMT</pubDate><enclosure url="https://substack-post-media.s3.amazonaws.com/public/images/6daa860f-55b6-4175-85c4-fa44eb39af75_2528x1696.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!_Kkg!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!_Kkg!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 424w, https://substackcdn.com/image/fetch/$s_!_Kkg!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 848w, https://substackcdn.com/image/fetch/$s_!_Kkg!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 1272w, https://substackcdn.com/image/fetch/$s_!_Kkg!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!_Kkg!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png" width="728" height="488.5" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:977,&quot;width&quot;:1456,&quot;resizeWidth&quot;:728,&quot;bytes&quot;:7142989,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/179648780?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!_Kkg!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 424w, https://substackcdn.com/image/fetch/$s_!_Kkg!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 848w, https://substackcdn.com/image/fetch/$s_!_Kkg!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 1272w, https://substackcdn.com/image/fetch/$s_!_Kkg!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F81ed187d-1e2a-4b30-aad0-652619d9b824_2528x1696.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">A quiet echo, hardened into grain</figcaption></figure></div><p>We tend to think of our lives as a collection of private experiences; <em>our memories, our feelings, our wins</em>. A curated archive of the self.</p><p>But your impact on the world is not defined by what happens to you. It is defined by the <strong>operating policy</strong> you write that others will copy. You are a <strong>manual</strong> to be used, more than a <strong>diary</strong> to be read.</p><h2>Scalable Character</h2><p>If that framing is true, then <em>character</em> is not just personal. It is <strong>replicable</strong>.</p><p>You are a <strong>prototype</strong> of a &#8220;way of being&#8221; that will be partially cloned by:</p><ul><li><p>Your friends</p></li><li><p>People who hear your stories or see your work</p></li><li><p>Your kids / students / younger founders you mentor</p></li><li><p>Future AIs trained on humanity&#8217;s traces, including yours<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-1" href="#footnote-1" target="_self">1</a></p></li></ul><p>What really persists from you is <em>not your memories or your feelings</em>. It is the <strong>algorithm</strong> of how you respond to reality: how you handle fear, power, love, money, truth, status, boredom, failure, etc.</p><p>And because humans learn by imitation and culture transmits by copying, that <strong>algorithm</strong> will get copied, mixed and <strong>amplified</strong>.</p><p>Once character is something that gets copied, it stops being private. It becomes a system with feedback. <strong>An outer loop</strong>.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!vAMD!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!vAMD!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 424w, https://substackcdn.com/image/fetch/$s_!vAMD!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 848w, https://substackcdn.com/image/fetch/$s_!vAMD!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 1272w, https://substackcdn.com/image/fetch/$s_!vAMD!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!vAMD!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png" width="1456" height="794" 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srcset="https://substackcdn.com/image/fetch/$s_!vAMD!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 424w, https://substackcdn.com/image/fetch/$s_!vAMD!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 848w, https://substackcdn.com/image/fetch/$s_!vAMD!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 1272w, https://substackcdn.com/image/fetch/$s_!vAMD!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8c062eef-d0c5-4617-9646-ee10a9d3f187_2816x1536.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Propagation</figcaption></figure></div><h2>The Outer Loop</h2><p><strong>Many operate with a myopic metric of impact, </strong>focusing on the direct visible outcomes. But &#8220;success&#8221; in the contemporary sense is a flawed metric: it captures results, not the rippling effect of character through the network. The true consequences are governed by a distant, external feedback loop. This shift in perspective has further implications:</p><p><strong>1. Your worst moments are high-leverage training data.</strong> We are trained by both our victories and our failures, but the &#8220;edge cases&#8221; carry the most weight. It is easy to broadcast a clear signal when you are winning. It is much harder when you are afraid or humiliated.</p><p>When shit hits the fan, the gap between the character you <em>want</em> to have and the reaction you <em>actually</em> have is at its widest. That is why the recording light goes on. Everyone around you, and the models ingesting that data, is watching: <em>&#8220;So, this is how we handle disaster.&#8221;</em></p><p>That recording gets reused. How you bridge that gap during a crisis becomes the manuscript for how those around you will handle their own storms. It evolves from a reaction into a trait, and that trait becomes a signal that others copy when they face their own storms.</p><p><strong>2. The Arc of Invisibility.</strong> The biggest consequences of your life are invisible to you because of the lag between the signal and the result. You rarely get to see the true &#8220;outer loop&#8221;. A person who met you once might have shifted their trajectory by a mere 3&#176; because of an interaction with you.</p><p>But in navigation, the <a href="https://en.wikipedia.org/wiki/1_in_60_rule">1 in 60 rule</a> dictates that a 1&#176; error results in being a mile off course after 60 miles. Over a lifetime, a 3&#176; shift changes the destination by a continent.</p><p>Consider <a href="https://en.wikipedia.org/wiki/Ignaz_Semmelweis">Ignaz Semmelweis</a>. In 1847, he was ostracized for suggesting doctors wash their hands. He died in an asylum, believing he was a failure. He never saw the millions of lives his protocol would eventually save. <em>A single degree of character hides a continent of consequences.</em></p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!tuvN!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!tuvN!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 424w, https://substackcdn.com/image/fetch/$s_!tuvN!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 848w, https://substackcdn.com/image/fetch/$s_!tuvN!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 1272w, https://substackcdn.com/image/fetch/$s_!tuvN!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!tuvN!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png" width="1456" height="794" 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srcset="https://substackcdn.com/image/fetch/$s_!tuvN!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 424w, https://substackcdn.com/image/fetch/$s_!tuvN!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 848w, https://substackcdn.com/image/fetch/$s_!tuvN!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 1272w, https://substackcdn.com/image/fetch/$s_!tuvN!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe8d038b2-60a0-4965-a523-7b69fe992ce1_2816x1536.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">A single degree of character hides a continent of consequences</figcaption></figure></div><p><strong>3.</strong> <strong>You are upstream of billions you will never meet</strong>: We exist in a matrix of connections where the complexity is too high to calculate. Books, tweets, gossip, a single introduction, a norm you set in a small group; these propagate like code in a giant <a href="https://www.geeksforgeeks.org/computer-networks/what-is-a-distributed-system/">distributed system</a>. You are the node where the signal originates, but you do not control where it runs.</p><p><strong>Engineering the Signal</strong> This is why it is critical to prioritize the <em>person</em> over the <em>outcome </em>alone. The chain of cause and effect in human networks is too chaotic to predict. You cannot engineer the butterfly effect<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-2" href="#footnote-2" target="_self">2</a>. You can only engineer the signal you emit into the storm. <strong>Harmonize it</strong>.</p><h2>Harmonizing the Signal</h2><p><strong>One of the highest forms</strong> of character is working on harmonizing the signal you emit to the world. You are continuously emitting data into a complex matrix of humans (and now AIs). Every interaction, a text, a meeting, a moment of stress, is a transmission.</p><p>The discipline of character is to ensure that this signal actively improves the system it enters. This is done in two distinct ways:</p><p><strong>1. Filtering the Noise</strong> <strong>(The Subtractive).</strong> First, identify the weak links in your history, the static, and refuse to extend them. Consider a moment of high friction, like a heated disagreement with a friend. The default path is to transmit the signal exactly as you received it: reacting to stress with snap judgment, defensive sarcasm, or looking for someone to blame. The harder discipline is to act as a noise-canceling wave. You absorb the shock entirely. You stop the cycle of emotional chaos before it passes through you to the next node.</p><p><strong>2. Refining the Tone (The Additive).</strong> But damping the noise is only one aspect. You must also refine the quality of what you <em>do</em> broadcast. It is about intentionally adding coherence and grace to the network.</p><ul><li><p>You want to represent and emit the <a href="https://en.wikipedia.org/wiki/Cardinal_virtues">values</a> that you stand for. Whether it is integrity, courage, temperance, humility, wit, generosity, or curiosity or any of the <a href="https://scottjeffrey.com/core-values-list/">hundreds of existing values</a>. Walking the talk, or rather the ethos you uphold, is how you can add a positive resonance to the world. </p></li><li><p>And there are millions ways to do this: do the thing you fear. Show up when it&#8217;s inconvenient. Tell the truth when a lie would be smoother. Apologize quickly. Keep your word. Stay generous under stress etc.<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-3" href="#footnote-3" target="_self">3</a></p></li></ul><p>You are the architect of your own frequency. Work on the signal until it is clean enough, true enough, and elegant enough to be worth repeating. You want to be the force that <strong>harmonizes the resonance</strong>, not the one that <strong>amplifies the dissonance</strong>.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!M9Z5!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!M9Z5!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 424w, https://substackcdn.com/image/fetch/$s_!M9Z5!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 848w, https://substackcdn.com/image/fetch/$s_!M9Z5!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 1272w, https://substackcdn.com/image/fetch/$s_!M9Z5!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!M9Z5!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png" width="728" height="488.5" 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srcset="https://substackcdn.com/image/fetch/$s_!M9Z5!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 424w, https://substackcdn.com/image/fetch/$s_!M9Z5!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 848w, https://substackcdn.com/image/fetch/$s_!M9Z5!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 1272w, https://substackcdn.com/image/fetch/$s_!M9Z5!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ff05a3d63-ed1e-47a2-a648-bed9e23f6b83_2528x1696.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">The wave remembers what the iron forgets</figcaption></figure></div><h2>Rippling Through the Sands of Time</h2><p>So if you remember one thing, remember that you are not just a node in the network of humans; you are a <strong>signal repeater</strong>. The quality of the signal is up to you.</p><p><strong>Optimize</strong> for being <em>copy-worthy</em>, not comfortable. Live so that if it scales to <em>millions of copies</em>, the world gets better, not worse. <strong>Build</strong> a character worth echoing into the future.</p><p></p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">Congrats, you made it to the end! If you want the next one, email goes here. I will handle the rest.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div><div class="captioned-button-wrap" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/p/quiet-echoes?utm_source=substack&utm_medium=email&utm_content=share&action=share&quot;,&quot;text&quot;:&quot;Share&quot;}" data-component-name="CaptionedButtonToDOM"><div class="preamble"><p class="cta-caption">If this made you think, send it to a friend and make them think too.</p></div><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/p/quiet-echoes?utm_source=substack&utm_medium=email&utm_content=share&action=share&quot;,&quot;text&quot;:&quot;Share&quot;}" data-component-name="ButtonCreateButton"><a class="button primary" href="https://blog.satpugnet.com/p/quiet-echoes?utm_source=substack&utm_medium=email&utm_content=share&action=share"><span>Share</span></a></p></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-1" href="#footnote-anchor-1" class="footnote-number" contenteditable="false" target="_self">1</a><div class="footnote-content"><p>The vast majority of large language models (LLMs) are trained on publicly available web data, primarily sourced from datasets like the <a href="https://commoncrawl.org/">Common Crawl</a>.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-2" href="#footnote-anchor-2" class="footnote-number" contenteditable="false" target="_self">2</a><div class="footnote-content"><p>Rooted in chaos theory, the<em> butterfly effect</em> describes how a tiny change in the initial stages of a system can cause huge, non-linear consequences elsewhere over time. Mathematician and meteorologist Edward Norton Lorenz originally explained this theory metaphorically, suggesting that a flap of a butterfly&#8217;s wing in one corner of the world could cause a tornado elsewhere weeks later.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-3" href="#footnote-anchor-3" class="footnote-number" contenteditable="false" target="_self">3</a><div class="footnote-content"><p>Here is a <a href="https://www.whatshouldireadnext.com/quotes/roy-t-bennett-don-t-just-don-t-just-learn">tiny poem</a> I like which captures the same idea.</p></div></div>]]></content:encoded></item><item><title><![CDATA[The World is a Fractal]]></title><description><![CDATA[A mental model to navigate the endless depth of knowledge]]></description><link>https://blog.satpugnet.com/p/the-world-is-a-fractal</link><guid isPermaLink="false">https://blog.satpugnet.com/p/the-world-is-a-fractal</guid><dc:creator><![CDATA[Saturnin Pugnet]]></dc:creator><pubDate>Sun, 15 Jun 2025 18:57:25 GMT</pubDate><enclosure url="https://substack-post-media.s3.amazonaws.com/public/images/5780e5f1-ffaa-407f-b4b4-188a1b32786f_1920x1080.jpeg" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!IWKU!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe5f0e682-fc4d-4b24-b2d2-b98f25c08703_1920x1080.jpeg" data-component-name="Image2ToDOM"><div class="image2-inset image2-full-screen"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!IWKU!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe5f0e682-fc4d-4b24-b2d2-b98f25c08703_1920x1080.jpeg 424w, 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class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a></figure></div><p>Three weeks ago, I got weirdly obsessed with bees.</p><p>Not bees as in some clever AI acronym, or some obscure math theorem, just regular buzzing bees. It started innocently enough: I stumbled upon a suspiciously attractive book cover about beekeeping, picked it up out of curiosity, and suddenly found myself waist-deep in a <a href="https://amzn.to/3FE7VkF">600-page manual</a>. Just like that, I had accidentally become a bee expert<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-1" href="#footnote-1" target="_self">1</a>.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!HSPL!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!HSPL!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 424w, https://substackcdn.com/image/fetch/$s_!HSPL!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 848w, https://substackcdn.com/image/fetch/$s_!HSPL!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 1272w, https://substackcdn.com/image/fetch/$s_!HSPL!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!HSPL!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp" width="382" height="410.0728021978022" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:1563,&quot;width&quot;:1456,&quot;resizeWidth&quot;:382,&quot;bytes&quot;:622772,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/webp&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!HSPL!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 424w, https://substackcdn.com/image/fetch/$s_!HSPL!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 848w, https://substackcdn.com/image/fetch/$s_!HSPL!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 1272w, https://substackcdn.com/image/fetch/$s_!HSPL!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9a148ef5-c1da-438d-a7ea-3ff714d1811f_2048x2198.webp 1456w" sizes="100vw"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">You have to judge this <a href="https://amzn.to/3FE7VkF">book</a> by its cover.</figcaption></figure></div><p>But you clicked expecting fractals, not bees, so let me quickly explain myself.</p><p>My little bee detour made me realize something important. From afar, bees seemed straightforward; small, simple insects doing small, simple things. But the deeper I dug, the more layers of surprising complexity unfolded. Every new detail uncovered yet another layer beneath. A seemingly endless complexity.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!NKjn!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!NKjn!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 424w, https://substackcdn.com/image/fetch/$s_!NKjn!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 848w, https://substackcdn.com/image/fetch/$s_!NKjn!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 1272w, https://substackcdn.com/image/fetch/$s_!NKjn!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!NKjn!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png" width="728" height="728" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/e2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:1024,&quot;width&quot;:1024,&quot;resizeWidth&quot;:728,&quot;bytes&quot;:1488073,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!NKjn!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 424w, https://substackcdn.com/image/fetch/$s_!NKjn!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 848w, https://substackcdn.com/image/fetch/$s_!NKjn!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 1272w, https://substackcdn.com/image/fetch/$s_!NKjn!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fe2d9c72e-42cd-4205-bcef-0d33808cd914_1024x1024.png 1456w" sizes="100vw"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Bees-flavored fractal.</figcaption></figure></div><p>Later, while sipping tea and staring thoughtfully into space (as one does after too much bee reading), it hit me: this endless complexity is not the exception, it is the rule.</p><p>Why had this surprised me?</p><p>Probably because the common mental models we use for knowledge do not capture this never-ending depth well. Think about it yourself. When visualizing knowledge, what comes to mind?</p><p><strong>A tree?</strong> Yes, this one is rather common, but it does not capture the complexity idea to my liking.</p><p><strong>A map?</strong> I like this one too. It does a good job at highlighting chartered territory coarsely, but lacks the depth dimension.</p><p><strong>A coral?</strong> <strong>A Venn diagram? A graph?</strong> They all feel slightly off.</p><p>All of the common representations seem to really be missing something essential.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!Xclk!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!Xclk!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 424w, https://substackcdn.com/image/fetch/$s_!Xclk!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 848w, https://substackcdn.com/image/fetch/$s_!Xclk!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 1272w, https://substackcdn.com/image/fetch/$s_!Xclk!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!Xclk!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png" width="1024" height="1155" 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srcset="https://substackcdn.com/image/fetch/$s_!Xclk!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 424w, https://substackcdn.com/image/fetch/$s_!Xclk!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 848w, https://substackcdn.com/image/fetch/$s_!Xclk!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 1272w, https://substackcdn.com/image/fetch/$s_!Xclk!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fc904c00e-5631-45b5-b044-5daf91e370b5_1024x1155.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Tree and map of knowledge.</figcaption></figure></div><p>You know that annoying thing your brain does, grabbing onto a random idea and refusing to drop it until you get to the bottom of it? This was one of those times.</p><p>So as is usual for me, I started to fixate on this idea. What is the perfect mental model for knowledge?</p><blockquote><p><em>I have always liked to build mental models. They are the cornerstone of effective thinking. Refining mental models is a daily habit for me. Good system thinking should always start from a good mental model. I have some for finance, some for technology, some for AI, some for physics, and even some meta mental model for the relationship between mental models themselves.</em></p><p><em>When building mental models, you always want to make them as simple as they can be but not simpler. Mental models are like a reality compressor: they filter out noise and distill complex systems down to their clearest patterns.</em></p><p><em>The model I am sharing with you today is one that I particularly enjoyed thinking about. Simple, elegant and representative of its underlying idea. And while rather abstract it is still a useful tool to add to your mental toolbox.</em></p></blockquote><p>After a few days of frustration, the answer came to me from the sky. Literally from the sky, or rather, the clouds. I was walking back home, observing a funny-looking shape in the sky, when suddenly it came to me!</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!LyJh!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!LyJh!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 424w, https://substackcdn.com/image/fetch/$s_!LyJh!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 848w, https://substackcdn.com/image/fetch/$s_!LyJh!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 1272w, https://substackcdn.com/image/fetch/$s_!LyJh!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!LyJh!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png" width="728" height="704.5" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:1409,&quot;width&quot;:1456,&quot;resizeWidth&quot;:728,&quot;bytes&quot;:1861322,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!LyJh!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 424w, https://substackcdn.com/image/fetch/$s_!LyJh!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 848w, https://substackcdn.com/image/fetch/$s_!LyJh!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 1272w, https://substackcdn.com/image/fetch/$s_!LyJh!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5dabd2f1-7810-47b5-934e-b3f128a992f4_2000x1935.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Unfortunately, I didn&#8217;t photograph the cloud of enlightenment, but here is roughly how it looked.</figcaption></figure></div><p>A fractal!</p><p>Knowledge is just a fractal!</p><p>Fractals, if you are unfamiliar, are infinite rabbit holes; zoom in, and you just discover more rabbit holes, each with its own rabbit drama.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!x_-8!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!x_-8!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 424w, https://substackcdn.com/image/fetch/$s_!x_-8!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 848w, https://substackcdn.com/image/fetch/$s_!x_-8!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 1272w, https://substackcdn.com/image/fetch/$s_!x_-8!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!x_-8!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif" width="728" height="409.719806763285" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:466,&quot;width&quot;:828,&quot;resizeWidth&quot;:728,&quot;bytes&quot;:75604,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/avif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!x_-8!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 424w, https://substackcdn.com/image/fetch/$s_!x_-8!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 848w, https://substackcdn.com/image/fetch/$s_!x_-8!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 1272w, https://substackcdn.com/image/fetch/$s_!x_-8!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fad79e00b-ea26-43e7-8256-099717cafbd9_828x466.avif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Spinning to infinity and beyond.</figcaption></figure></div><p>Fractals perfectly capture the infinite richness and complexity that is present in any topic, no matter how small and simple it may seem from a distance.</p><p>It felt like I was onto something.</p><p></p><h4>Quick Detour: Fractals fun</h4><p>Plus, conveniently, fractals are cool. There is even a principle in physics (the Dirac aesthetic criterion) that states that when picking between competing theories, the most elegant one usually wins<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-2" href="#footnote-2" target="_self">2</a>. And fractals certainly feel elegant.</p><p>I am gonna shamelessly seize this chance to shove some truly gorgeous fractals into your eyes.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!iCEY!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!iCEY!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 424w, https://substackcdn.com/image/fetch/$s_!iCEY!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 848w, https://substackcdn.com/image/fetch/$s_!iCEY!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 1272w, https://substackcdn.com/image/fetch/$s_!iCEY!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!iCEY!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg" width="728" height="409.5" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:819,&quot;width&quot;:1456,&quot;resizeWidth&quot;:728,&quot;bytes&quot;:864065,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/jpeg&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!iCEY!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 424w, https://substackcdn.com/image/fetch/$s_!iCEY!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 848w, https://substackcdn.com/image/fetch/$s_!iCEY!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 1272w, https://substackcdn.com/image/fetch/$s_!iCEY!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F6af43c07-d0ca-4589-aa7a-1b6d70294bd1_2048x1152.jpeg 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Fractals have a strangely hypnotic quality.</figcaption></figure></div><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!SgmD!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!SgmD!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 424w, https://substackcdn.com/image/fetch/$s_!SgmD!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 848w, https://substackcdn.com/image/fetch/$s_!SgmD!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 1272w, https://substackcdn.com/image/fetch/$s_!SgmD!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!SgmD!,w_2400,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp" width="892" height="691.3" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;large&quot;,&quot;height&quot;:744,&quot;width&quot;:960,&quot;resizeWidth&quot;:892,&quot;bytes&quot;:151464,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/webp&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-large" alt="" srcset="https://substackcdn.com/image/fetch/$s_!SgmD!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 424w, https://substackcdn.com/image/fetch/$s_!SgmD!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 848w, https://substackcdn.com/image/fetch/$s_!SgmD!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 1272w, https://substackcdn.com/image/fetch/$s_!SgmD!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F962162c2-6c8b-462a-96a8-5c37f462c7ef_960x744.webp 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><strong>3D fractals, likely responsible for frying a GPU or two.</strong></figcaption></figure></div><p>Did you know that 3D fractals existed? I certainly did not.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!ka0Q!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!ka0Q!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 424w, https://substackcdn.com/image/fetch/$s_!ka0Q!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 848w, https://substackcdn.com/image/fetch/$s_!ka0Q!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 1272w, https://substackcdn.com/image/fetch/$s_!ka0Q!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!ka0Q!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif" width="638" height="358.875" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:270,&quot;width&quot;:480,&quot;resizeWidth&quot;:638,&quot;bytes&quot;:4464500,&quot;alt&quot;:&quot;&quot;,&quot;title&quot;:null,&quot;type&quot;:&quot;image/gif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" title="" srcset="https://substackcdn.com/image/fetch/$s_!ka0Q!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 424w, https://substackcdn.com/image/fetch/$s_!ka0Q!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 848w, https://substackcdn.com/image/fetch/$s_!ka0Q!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 1272w, https://substackcdn.com/image/fetch/$s_!ka0Q!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7aa0c6ab-3b6a-4788-b7ea-5412ae6f8fea_480x270.gif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Endless freefall.</figcaption></figure></div><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!fHMf!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!fHMf!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 424w, https://substackcdn.com/image/fetch/$s_!fHMf!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 848w, https://substackcdn.com/image/fetch/$s_!fHMf!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 1272w, https://substackcdn.com/image/fetch/$s_!fHMf!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!fHMf!,w_2400,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp" width="886" height="541.7704194260485" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/d95f8047-3451-48a0-a114-f918886f3df0_906x554.webp&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;large&quot;,&quot;height&quot;:554,&quot;width&quot;:906,&quot;resizeWidth&quot;:886,&quot;bytes&quot;:286834,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/webp&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-large" alt="" srcset="https://substackcdn.com/image/fetch/$s_!fHMf!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 424w, https://substackcdn.com/image/fetch/$s_!fHMf!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 848w, https://substackcdn.com/image/fetch/$s_!fHMf!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 1272w, https://substackcdn.com/image/fetch/$s_!fHMf!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fd95f8047-3451-48a0-a114-f918886f3df0_906x554.webp 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Tree-like fractal.</figcaption></figure></div><p>There is some dramatic tone to this last one. It seems to be mimicking nature.</p><p>Alright, back to business.</p><p></p><h4>Tea: Just Hot Water, Right?</h4><p>Despite my attempt at bribing you with enticing visuals, you might not be as convinced as I am&#8230; yet. Fair enough. Let&#8217;s ground this in reality with an actual example.</p><p>Take tea, a recent personal addiction of mine (thank my girlfriend). Tea probably sounds pretty straightforward. You throw some leaves in hot water, right? Simple stuff. Do we really need fractals for tea? Feels overkill.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!i8h5!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!i8h5!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 424w, https://substackcdn.com/image/fetch/$s_!i8h5!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 848w, https://substackcdn.com/image/fetch/$s_!i8h5!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 1272w, https://substackcdn.com/image/fetch/$s_!i8h5!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!i8h5!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png" width="340" height="340" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/bfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:1024,&quot;width&quot;:1024,&quot;resizeWidth&quot;:340,&quot;bytes&quot;:1392068,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!i8h5!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 424w, https://substackcdn.com/image/fetch/$s_!i8h5!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 848w, https://substackcdn.com/image/fetch/$s_!i8h5!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 1272w, https://substackcdn.com/image/fetch/$s_!i8h5!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbfa8056c-76bf-4dc0-aa23-b6814bee1562_1024x1024.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Tea Fractal.</figcaption></figure></div><p>But imagine you have decided to become the world&#8217;s leading tea expert. Your goal: learn everything there is to know about tea.</p><p>Let&#8217;s visualize this journey with our fractal model.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!uRmm!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!uRmm!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 424w, https://substackcdn.com/image/fetch/$s_!uRmm!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 848w, https://substackcdn.com/image/fetch/$s_!uRmm!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 1272w, https://substackcdn.com/image/fetch/$s_!uRmm!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!uRmm!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif" width="347" height="347" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:347,&quot;width&quot;:347,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:485034,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/tiff&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!uRmm!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 424w, https://substackcdn.com/image/fetch/$s_!uRmm!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 848w, https://substackcdn.com/image/fetch/$s_!uRmm!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 1272w, https://substackcdn.com/image/fetch/$s_!uRmm!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F7e5bb1a9-3392-4201-8133-799a46d2a4c4.tif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Our evolving mental model of tea knowledge.</figcaption></figure></div><p>First, you would tackle the basics: tea-making processes, brewing techniques, and the main ingredients. So far, nothing crazy.</p><p>But as a tea world expert, you cannot stop there. You would have to master every single tea variety<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-3" href="#footnote-3" target="_self">3</a>. Suddenly, your simple plan expands dramatically.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!0MTi!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!0MTi!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 424w, https://substackcdn.com/image/fetch/$s_!0MTi!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 848w, https://substackcdn.com/image/fetch/$s_!0MTi!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 1272w, https://substackcdn.com/image/fetch/$s_!0MTi!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!0MTi!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif" width="347" height="347" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ffd9c630-9312-442a-bdb4-384bbe85e0ca.tif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:347,&quot;width&quot;:347,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:485034,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/tiff&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!0MTi!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 424w, https://substackcdn.com/image/fetch/$s_!0MTi!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 848w, https://substackcdn.com/image/fetch/$s_!0MTi!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 1272w, https://substackcdn.com/image/fetch/$s_!0MTi!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fffd9c630-9312-442a-bdb4-384bbe85e0ca.tif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Our evolving mental model of tea knowledge.</figcaption></figure></div><p>But surely we are now getting to the bottom of it, there is not much more to dig into. Is there?</p><p>Well, it turns out you also need to learn about the logistics of tea; how tea leaves get from farms in China or India to your local caf&#233;. Another can of worms. Probably a few thousands of hours to learn about it all. And this is being optimistic.</p><p>And we haven&#8217;t even touched on the chemistry of taste yet. What happens chemically inside your brain when tea hits your tongue? That&#8217;s a whole new fractal universe of neuroscience and sensory biology.</p><p>Hopefully, you are starting to see why a fractal is more appropriate to model knowledge. Beneath even the most trivial-seeming topic lurks dizzying, fractal complexity.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!8iXz!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!8iXz!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 424w, https://substackcdn.com/image/fetch/$s_!8iXz!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 848w, https://substackcdn.com/image/fetch/$s_!8iXz!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 1272w, https://substackcdn.com/image/fetch/$s_!8iXz!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!8iXz!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif" width="347" height="347" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/9baa1030-b098-4f0a-8180-ee447093ae72.tif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:347,&quot;width&quot;:347,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:485034,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/tiff&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!8iXz!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 424w, https://substackcdn.com/image/fetch/$s_!8iXz!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 848w, https://substackcdn.com/image/fetch/$s_!8iXz!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 1272w, https://substackcdn.com/image/fetch/$s_!8iXz!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9baa1030-b098-4f0a-8180-ee447093ae72.tif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Our evolving mental model of tea knowledge.</figcaption></figure></div><p>But we do not have to stop there. We can keep going. To become ever sharper on the topic, we could probably also learn everything about the history of tea. In each region of the world and since its creation 3000 BC. How did humans discover tea? Who drank the first cup around 3000 BC, and why? Historians probably disagree (as historians love to do), so you would have to dive into their debates too, more complexity.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!khQd!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!khQd!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 424w, https://substackcdn.com/image/fetch/$s_!khQd!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 848w, https://substackcdn.com/image/fetch/$s_!khQd!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 1272w, https://substackcdn.com/image/fetch/$s_!khQd!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!khQd!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif" width="347" height="347" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/fde9d36c-07e8-4529-aeb7-2a43f861f259.tif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:347,&quot;width&quot;:347,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:485034,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/tiff&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!khQd!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 424w, https://substackcdn.com/image/fetch/$s_!khQd!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 848w, https://substackcdn.com/image/fetch/$s_!khQd!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 1272w, https://substackcdn.com/image/fetch/$s_!khQd!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Ffde9d36c-07e8-4529-aeb7-2a43f861f259.tif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Our evolving mental model of tea knowledge.</figcaption></figure></div><p>And since we have touched neuroscience, why stop at taste chemistry? Now you are neck-deep in brain science and human perception.</p><p>And once we are done with this, we should probably start looking into the business side of tea. How many tea businesses exist? How long have they been around? What are their strategies? How do new global warming regulations affect them? etc&#8230;</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!pJA7!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!pJA7!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 424w, https://substackcdn.com/image/fetch/$s_!pJA7!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 848w, https://substackcdn.com/image/fetch/$s_!pJA7!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 1272w, https://substackcdn.com/image/fetch/$s_!pJA7!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!pJA7!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif" width="347" height="347" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:347,&quot;width&quot;:347,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:21830,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/gif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!pJA7!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 424w, https://substackcdn.com/image/fetch/$s_!pJA7!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 848w, https://substackcdn.com/image/fetch/$s_!pJA7!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 1272w, https://substackcdn.com/image/fetch/$s_!pJA7!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F07ae1fbb-b50b-4d92-b9a6-61f443b72ca8_347x347.gif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Tea knowledge model ever-increasing in complexity.</figcaption></figure></div><p>We will pause here. I think you get the point. Infinite complexity hides beneath absolutely every topic.</p><p>But don&#8217;t just take my word for it. Try it out for yourself! Pick a random topic. Choose something as dull as you can. And see how long it takes you to unfold the hidden complexity.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!PcvQ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!PcvQ!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 424w, https://substackcdn.com/image/fetch/$s_!PcvQ!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 848w, https://substackcdn.com/image/fetch/$s_!PcvQ!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 1272w, https://substackcdn.com/image/fetch/$s_!PcvQ!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!PcvQ!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif" width="480" height="480" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:false,&quot;imageSize&quot;:&quot;normal&quot;,&quot;height&quot;:480,&quot;width&quot;:480,&quot;resizeWidth&quot;:480,&quot;bytes&quot;:3958395,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/gif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:&quot;center&quot;,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!PcvQ!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 424w, https://substackcdn.com/image/fetch/$s_!PcvQ!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 848w, https://substackcdn.com/image/fetch/$s_!PcvQ!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 1272w, https://substackcdn.com/image/fetch/$s_!PcvQ!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F79c8eb22-0f3c-4edc-81a6-252be8ffe645_480x480.gif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">The dizzying depth of fractals.</figcaption></figure></div><p></p><h4>Bonus Perspectives (Because Why Not?)</h4><p>Now that I have (hopefully) reassured you that this is not just an elaborate excuse to stare at fractals, but actually a meaningful idea worth pondering together; let&#8217;s expand on this groundwork by discussing a few complementary ideas.</p><p>Fractals are awesome. But they miss a crucial aspect of reality on their own. Knowledge is not static! All knowledge is dynamic. And while some evolve slowly (think classical Latin grammar), while others mutate rapidly (like modern pop music), every topic is constantly shifting and growing.</p><p>But fear not, there is an easy fix. Just imagine fractals as living, organic shapes, continually morphing instead of static snapshots.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!XLPb!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!XLPb!,w_424,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 424w, https://substackcdn.com/image/fetch/$s_!XLPb!,w_848,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 848w, https://substackcdn.com/image/fetch/$s_!XLPb!,w_1272,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 1272w, https://substackcdn.com/image/fetch/$s_!XLPb!,w_1456,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!XLPb!,w_1456,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif" width="600" height="450" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/bdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:450,&quot;width&quot;:600,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:7747784,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/gif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!XLPb!,w_424,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 424w, https://substackcdn.com/image/fetch/$s_!XLPb!,w_848,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 848w, https://substackcdn.com/image/fetch/$s_!XLPb!,w_1272,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 1272w, https://substackcdn.com/image/fetch/$s_!XLPb!,w_1456,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbdcd7e0a-22d5-45b0-9339-0b07e81f9e38_600x450.gif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Animated fractal to illustrate the point.</figcaption></figure></div><p>Another interesting angle: subjective vs objective knowledge. If the fractal represents absolute knowledge then how to best represent subjective knowledge? The simplest solution: imagine varying levels of resolution, or clarity, within different regions of the fractal; some sharp and defined, others fuzzy and indistinct.</p><p>For instance, imagine (purely hypothetically, of course) that I have spent a few weeks playing chess, and despite trying really hard to raise my ELO, I keep getting humiliated on <a href="https://www.chess.com/member/satpugnet">Chess.com</a><a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-4" href="#footnote-4" target="_self">4</a>. In this scenario, my personal &#8220;chess fractal&#8221; would be blurry and unclear.</p><p>Now imagine that I spend years diving deep into my newfound bee passion, learning everything there is to know about it and unraveling endless honey-making secrets. For me, the &#8220;beekeeping&#8221; region of the fractal would become incredibly sharp and detailed, revealing subtle complexities invisible to others<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-5" href="#footnote-5" target="_self">5</a>.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!o7v4!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!o7v4!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 424w, https://substackcdn.com/image/fetch/$s_!o7v4!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 848w, https://substackcdn.com/image/fetch/$s_!o7v4!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 1272w, https://substackcdn.com/image/fetch/$s_!o7v4!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!o7v4!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png" width="1024" height="1024" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:1024,&quot;width&quot;:1024,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:1688461,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!o7v4!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 424w, https://substackcdn.com/image/fetch/$s_!o7v4!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 848w, https://substackcdn.com/image/fetch/$s_!o7v4!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 1272w, https://substackcdn.com/image/fetch/$s_!o7v4!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fed3dd05e-1169-41df-9f39-33ff2f3be6af_1024x1024.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Uncharted territory remains blurry.</figcaption></figure></div><blockquote><p><em>This also neatly illustrates proximity bias; anything viewed from a distance looks simpler than it truly is.</em></p></blockquote><p>Many other ideas fit neatly into this fractal framework. Take the Dunning-Kruger effect<a class="footnote-anchor" data-component-name="FootnoteAnchorToDOM" id="footnote-anchor-6" href="#footnote-6" target="_self">6</a>, which describes how new topics first seem trivial, then overwhelmingly complex as you dive deeper. The fractal captures that beautifully.</p><p>We could keep going but we will stop there for the complimentary ideas. There are about a zillion intriguing directions we could wander off into here, but I will leave the delightful rabbit-hole exploration to you.</p><p></p><h4>So, Any Catch?</h4><p>Before we wrap up our fractal voyage, let me poke a few holes in our new model and see where it leaks.</p><p>First problem: fractals are annoyingly complicated to sketch. If you&#8217;re anything like me (i.e., artistically challenged), you can probably doodle a decent map or tree diagram in a few minutes. But fractals? They spiral quickly into scribbly nightmares.</p><p>Second, knowledge is not neatly organized into separate, isolated branches. It is more like a messy, tangled web. Math, for instance, pops up everywhere in the fractal, as part of countless unrelated topics. To truly reflect reality, the fractal would require lots of repetition. But maybe that&#8217;s fine; perhaps the most elegant way is to imagine these repeated sections as hyperlinks all pointing back to the same core structure? Maybe any mental model that tries to fully capture this messy interconnectedness is doomed from the start.</p><p>There are probably other holes we could poke, but these two were the biggest and most obvious ones that came to mind. Ultimately, though, I could not find any serious catch, just some minor fine print that seem easy enough to ignore.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!1G4Q!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!1G4Q!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 424w, https://substackcdn.com/image/fetch/$s_!1G4Q!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 848w, https://substackcdn.com/image/fetch/$s_!1G4Q!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 1272w, https://substackcdn.com/image/fetch/$s_!1G4Q!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!1G4Q!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif" width="370" height="370" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/bce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:480,&quot;width&quot;:480,&quot;resizeWidth&quot;:370,&quot;bytes&quot;:976301,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/gif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!1G4Q!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 424w, https://substackcdn.com/image/fetch/$s_!1G4Q!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 848w, https://substackcdn.com/image/fetch/$s_!1G4Q!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 1272w, https://substackcdn.com/image/fetch/$s_!1G4Q!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbce96b3a-6cb6-4141-84a7-8f982082ba90_480x480.gif 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Skip if you are on shrooms.</figcaption></figure></div><p></p><h4>Fractal Farewell</h4><p>There is no conclusion; mental models are meant to open up new perspectives and invite exploration. They are a new lens to look at the world, add this one to your toolbox and pull it out whenever it helps you see something differently.</p><p>Should you stand humbled in awe at this endless depth of knowledge? Should you never dismiss a topic as trivial again? Should you simply stay mindful of your own limitations? I will leave that reflection to you.</p><p>Play around with this idea and come up with your own conclusions. Twist it, reshape it, or adapt it into something totally new. Whatever clicks.</p><p>And next time you&#8217;re confronted with something seemingly mundane, ask yourself: what hidden fractal awaits beneath the surface?</p><div class="captioned-image-container"><figure><a class="image-link image2" target="_blank" href="https://substackcdn.com/image/fetch/$s_!R9s_!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!R9s_!,w_424,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 424w, https://substackcdn.com/image/fetch/$s_!R9s_!,w_848,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 848w, https://substackcdn.com/image/fetch/$s_!R9s_!,w_1272,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 1272w, https://substackcdn.com/image/fetch/$s_!R9s_!,w_1456,c_limit,f_webp,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!R9s_!,w_1456,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif" width="320" height="240" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/ff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:240,&quot;width&quot;:320,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:24785444,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/gif&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!R9s_!,w_424,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 424w, https://substackcdn.com/image/fetch/$s_!R9s_!,w_848,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 848w, https://substackcdn.com/image/fetch/$s_!R9s_!,w_1272,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 1272w, https://substackcdn.com/image/fetch/$s_!R9s_!,w_1456,c_limit,f_auto,q_auto:good,fl_lossy/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff1eb10d-5ffc-47f0-80a0-a8c06ab77d64_320x240.gif 1456w" sizes="100vw" loading="lazy"></picture><div></div></div></a><figcaption class="image-caption">One final dizzying plunge.</figcaption></figure></div><p>I have presented how fractals beautifully capture the essence of knowledge, but it does not end there. It can certainly be applied to other concepts such as ideas or experiences.</p><p>Maybe the old story got it wrong. Perhaps reality is not turtles all the way down after all; maybe it is fractals, endlessly spinning into themselves.</p><p>Congrats on diving this deep, fractal adventurer. Your reward? Here is a <strong><a href="https://www.zazow.com/mandelbrot/create.php">fractal generator</a></strong> to play with and a <strong><a href="https://math.hws.edu/eck/js/mandelbrot/MB.html">Mandelbrot explorer</a></strong> to plunge even deeper.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!2Iyw!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!2Iyw!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 424w, https://substackcdn.com/image/fetch/$s_!2Iyw!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 848w, https://substackcdn.com/image/fetch/$s_!2Iyw!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 1272w, https://substackcdn.com/image/fetch/$s_!2Iyw!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!2Iyw!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp" width="960" height="740" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:740,&quot;width&quot;:960,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:207084,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/webp&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:true,&quot;topImage&quot;:false,&quot;internalRedirect&quot;:&quot;https://blog.satpugnet.com/i/165098728?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!2Iyw!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 424w, https://substackcdn.com/image/fetch/$s_!2Iyw!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 848w, https://substackcdn.com/image/fetch/$s_!2Iyw!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 1272w, https://substackcdn.com/image/fetch/$s_!2Iyw!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F598c254c-c08d-426d-9624-d7b418a53e11_960x740.webp 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">And to end on a high note, here is one last mind-bending fractal for the road.</figcaption></figure></div><blockquote><p><em>Closing meta-note: If at some point you started noticing fractals not just in the ideas but in the very structure of this post, that&#8217;s definitely a coincidence. Because obviously, I would never deliberately structure a post to mirror its own topic. That would be ridiculous. (Right?)</em></p></blockquote><p></p><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe now&quot;,&quot;action&quot;:null,&quot;class&quot;:null}" data-component-name="ButtonCreateButton"><a class="button primary" href="https://blog.satpugnet.com/subscribe?"><span>Subscribe now</span></a></p><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-1" href="#footnote-anchor-1" class="footnote-number" contenteditable="false" target="_self">1</a><div class="footnote-content"><p>Did you know that bees communicate precise directions to flowers by performing a little dance called the &#8220;waggle dance&#8221;? It sounds silly but it is real ethology jargon.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-2" href="#footnote-anchor-2" class="footnote-number" contenteditable="false" target="_self">2</a><div class="footnote-content"><p>Yes, apparently nature prefers beauty.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-3" href="#footnote-anchor-3" class="footnote-number" contenteditable="false" target="_self">3</a><div class="footnote-content"><p>Did you know there are over 3,000 types of tea? Yep, humans went wild here.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-4" href="#footnote-anchor-4" class="footnote-number" contenteditable="false" target="_self">4</a><div class="footnote-content"><p>This scenario definitely doesn&#8217;t apply to me, unless you are terrible at chess, in which case hit me up <a href="https://www.chess.com/member/satpugnet">@satpugnet</a>.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-5" href="#footnote-anchor-5" class="footnote-number" contenteditable="false" target="_self">5</a><div class="footnote-content"><p>Maybe the meaning of life is to explore the fractal, patiently bringing clarity to its blurry edges, discovering hidden intricacies, and sometimes simply marveling at its endless infinity.</p></div></div><div class="footnote" data-component-name="FootnoteToDOM"><a id="footnote-6" href="#footnote-anchor-6" class="footnote-number" contenteditable="false" target="_self">6</a><div class="footnote-content"><p>Just a fancy term to describe when people know so little, they are completely unaware of how clueless they actually are, leading to undeserved confidence. Think: someone confidently explaining quantum physics after one podcast episode.</p></div></div>]]></content:encoded></item><item><title><![CDATA[Longevity Fundamentals 🔑🧬]]></title><description><![CDATA[Over recent years, I&#8217;ve been passively learning about longevity.]]></description><link>https://blog.satpugnet.com/p/longevity-fundamentals</link><guid isPermaLink="false">https://blog.satpugnet.com/p/longevity-fundamentals</guid><dc:creator><![CDATA[Saturnin Pugnet]]></dc:creator><pubDate>Wed, 11 Oct 2023 00:23:53 GMT</pubDate><enclosure url="https://substack-post-media.s3.amazonaws.com/public/images/567b85fe-a2fc-4748-845d-8fe7b061f4ff_1200x630.jpeg" length="0" type="image/jpeg"/><content:encoded><![CDATA[<p>Over recent years, I&#8217;ve been passively learning about longevity. On the way, I have wished for a concise, clear and simple resource to guide me through the basics. Now, being more acquainted with the topic, I have decided to share some learnings.</p><p>My approach is very scientific and recommendations are based in research, not beliefs.</p><p>In this post, I will concentrate on the 80/20 set of actions for longevity. In subsequent posts, I might delve deeper into sub-topics.</p><h2><strong>1. Sleep &#128164;</strong></h2><p>Sleep is crucial to longevity. Opt for 8+ hours of rest in a pitch-dark room, aligning your sleep with the sun&#8217;s rhythm. Ensure a steady bedtime and a room temperature of 19&#176;C. Avoid eating or drinking 5 hours before sleep and limit screen exposure to at least 3 hours prior. Abstain from caffeine, alcohol, and sugar before heading to bed. Monitor your sleep with tools like the Oura ring for optimal results.</p><h2><strong>2. Food &#127835;</strong></h2><p>Avoid sugar, dairy, and meat, opting instead for plant proteins like tofu, lentils, nuts, seeds, and quinoa. If muscle gain is your goal, consider increasing protein intake &#8212; albeit in moderation for longevity&#8217;s sake. Explore intermittent fasting routines, such as a day-long fast weekly or 16-hour daily fasts; the optimal fasting pattern is still under research.</p><p>Protein sources, in order of preference, are plant protein &gt; fish &gt; chicken &gt; pork/beef. Aim for a moderate caloric intake (~2000 for men, ~1800 for women), just enough to quench hunger without overeating.</p><p>Learn about and include superfoods in your diet &#8212; Berries, Green Tea, Legumes, Nuts and Seeds, Garlic, Olive Oil, Ginger, Turmeric, Salmon, Avocado, Mushroom etc. Additionally, choose whole-grain bread, pasta, and rice to help control glucose spikes, contributing to heart health.</p><h2><strong>3. Supplements &#128138;</strong></h2><p>Supplements can be an effective way to fortify your longevity-enhancing regimen. Here&#8217;s a list of some key supplements:</p><ul><li><p>Vitamin D3 (4500 IU/day): This is generated by our body when exposed to sunlight, essential for numerous internal processes. Supplements help cover sunlight deficiency. (<a href="https://tinyurl.com/4dhh7d37">https://tinyurl.com/4dhh7d37</a>)</p></li><li><p>Fish Oil (1g/day): Contains omega-3, crucial for brain, heart health, and more. Available in direct oil form or capsules. (<a href="https://tinyurl.com/4e8y9fva">https://tinyurl.com/4e8y9fva</a>)</p></li><li><p>Resveratrol (1g/day): Found in red wine, it aids various biological mechanisms and reduces heart attack rates. (<a href="https://tinyurl.com/4kekxjm9">https://tinyurl.com/4kekxjm9</a>)</p></li><li><p>Creatine (5g/day): Naturally produced in the body, beneficial for brain function and muscle strength. (<a href="https://tinyurl.com/7s3auy8k">https://tinyurl.com/7s3auy8k</a>)</p></li><li><p>NMN (1g/day) or alternatively NR (less expensive): Shown to reverse age-related effects in numerous animal studies. With promising results in the first human studies over the past few years. (<a href="https://tinyurl.com/a4cjdrp2">https://tinyurl.com/a4cjdrp2</a>)</p></li><li><p>AG1 (1 scoop/day): A mix of vital vitamins, minerals, and probiotics. (<a href="https://tinyurl.com/mr3ed6np">https://tinyurl.com/mr3ed6np</a>)</p></li><li><p>Whey: While not significantly impacting longevity, it doesn&#8217;t seem to harm and aids muscle development. (<a href="https://tinyurl.com/33fep3us">https://tinyurl.com/33fep3us</a>)</p></li></ul><h2><strong>4. Exercise &#127947;&#65039;&#8205;&#9792;&#65039;</strong></h2><p>All forms of exercise can contribute to overall health, but High-Intensity Interval Training (HIIT) has been proven particularly beneficial for longevity or, more generally, any type of exercise triggering a high heart rate for a short amount of time. Regular stretching, too, is a key part of maintaining flexibility and preventing injuries (<a href="https://tinyurl.com/4y52t4vr">https://tinyurl.com/4y52t4vr</a>). For optimal benefits, aim for at least 45 minutes of exercise four times a week (<a href="https://tinyurl.com/yf3dn524">https://tinyurl.com/yf3dn524</a>).</p><h2><strong>5. Hydration &#128167;</strong></h2><p>Stay hydrated, aiming for 6&#8211;8 glasses of water (2&#8211;3 liters) daily.</p><h2><strong>6. Temperature Exposure &#10052;&#65039;&#128293;</strong></h2><p>Get regular exposure to both cold and heat. Practice cold exposure through methods like cold showers or plunges. Similarly, seek regular dry heat exposure, ideally through sauna sessions three times a week for approximately 15 minutes each.</p><h2><strong>7. Environment Monitoring &#128421;&#65039;</strong></h2><p>Maintain a healthy environment. Keep CO2 levels below 1000ppm and humidity between 45%-55%. Consider tools like Aranet4 for accurate monitoring (<a href="https://tinyurl.com/az36a46s">https://tinyurl.com/az36a46s</a>).</p><h2><strong>8. Self monitoring &#128202;&#128269;</strong></h2><p>Keeping track of your health metrics is invaluable. Use devices like Oura for detailed sleep monitoring (<a href="https://tinyurl.com/2wsyx44v">https://tinyurl.com/2wsyx44v</a>), Apple Watch for heart rate and various health statistics (<a href="https://tinyurl.com/mppdy6d7">https://tinyurl.com/mppdy6d7</a>) A Whoop can be used for granular activity-related measurements (<a href="https://tinyurl.com/bde28jf6">https://tinyurl.com/bde28jf6</a>). You can also use a glucose monitor to discern your body&#8217;s unique blood sugar reaction to diverse foods (https://tinyurl.com/yd4xtnze), the goal being to avoid spikes of glucose which have been associated to decrease in longevity.</p><h2><strong>9. Regular Medical Checks &#127973;&#128257;</strong></h2><p>Stay vigilant about your health by scheduling regular eye exams to gauge screen impacts, dental checkups for oral hygiene, and hearing tests.</p><p>Opt for regular blood tests and upload them to services like InsideTracker for deeper insights (<a href="https://tinyurl.com/yzbehwub">https://tinyurl.com/yzbehwub</a>). Don&#8217;t neglect comprehensive body health and fitness tests for overall wellbeing.</p><h2><strong>10. One-off Medical Checks &#129404;</strong></h2><p>Consider some one-time procedures for preventive health and longevity. Stem cell extraction could offer future therapeutic benefits. Opt for a genome analysis (<a href="https://tinyurl.com/8wyhcey3">https://tinyurl.com/8wyhcey3</a>) to identify any predispositions to certain diseases.</p><p>Lastly, testing with companies such as Tally can help establish your biological age versus chronological age (<a href="https://tinyurl.com/58zkcyd2">https://tinyurl.com/58zkcyd2</a>).</p><h2><strong>11. Body &#128694;&#8205;&#9794;&#65039;</strong></h2><p>For maintaining a healthy back, remember to keep a good posture, specifically, a straight back. For ear health, prioritize using headphones over earphones, and control the volume.</p><p>For skin care, ensure regular sun exposure while using sunscreen to guard against UV-induced DNA mutations that can accelerate aging. Limit unnecessary exposure to X-Rays when possible, such as during airport checks.</p><p>Put in place a basic skincare routine for the face including moisturizer and, optionally, oil, toner and serum (<a href="https://tinyurl.com/2k2rwads">https://tinyurl.com/2k2rwads</a>). For overall wellness, aim to reduce stress and maintain a healthy body fat percentage &#8212; ideally, a BMI of 18.5 to 24.9.</p><h2><strong>12. Phone &#128241;</strong></h2><p>To avoid undue distractions and minimize stress, curtail the attention-grabbing ability of your phone. Automate the &#8216;Focus Mode&#8217; to minimize notification windows daily.</p><p>Restrict any unnecessary alerts and consider moving unavoidable notifications to batch alerts, preferably scheduled for one batch in the morning and one in the evening. Set a daily time limit on social media and entertainment apps.</p><p>To reduce eye strain, ensure your screen is always set to night mode.</p><h2><strong>13. Work Setup &#128421;&#65039;</strong></h2><p>Set up your workspace to minimize strain and improve posture: a split keyboard (<a href="https://tinyurl.com/yc4kr6pw">https://tinyurl.com/yc4kr6pw</a>), a standing desk paired with a foot mat (<a href="https://tinyurl.com/4nrzx4dz">https://tinyurl.com/4nrzx4dz</a>), and a monitor positioned at eye level for blood circulation and posture.</p><p>Opt for a high FPS (60+), high-resolution screen to lessen eye strain. Employ the night mode setting on all devices to further alleviate eye fatigue.</p><h2><strong>14. Drugs and Alcohol &#129347;</strong></h2><p>Limit alcohol and smoking. Also, minimize caffeine consumption, especially before sleep.</p><h2><strong>Conclusion</strong></h2><p>This concludes our short 80/20 walkthrough for longevity. Keep in mind that this is an ongoing research area and a lot of those advice are subject to change. But hopefully most of it remains relevant and helps you grow older healthier.</p><h2><strong>Recommended Readings</strong></h2><p>https://blueprint.bryanjohnson.co</p><p>https://www.amazon.com/Lifespan-Why-Age_and-Dont-Have</p><p></p><div class="subscription-widget-wrap-editor" data-attrs="{&quot;url&quot;:&quot;https://blog.satpugnet.com/subscribe?&quot;,&quot;text&quot;:&quot;Subscribe&quot;,&quot;language&quot;:&quot;en&quot;}" data-component-name="SubscribeWidgetToDOM"><div class="subscription-widget show-subscribe"><div class="preamble"><p class="cta-caption">Saturnin&#8217;s Substack is a reader-supported publication. To receive new posts and support my work, consider becoming a free or paid subscriber.</p></div><form class="subscription-widget-subscribe"><input type="email" class="email-input" name="email" placeholder="Type your email&#8230;" tabindex="-1"><input type="submit" class="button primary" value="Subscribe"><div class="fake-input-wrapper"><div class="fake-input"></div><div class="fake-button"></div></div></form></div></div>]]></content:encoded></item></channel></rss>