The Coastline Paradox Explained: Why Coastlines Get Longer the Closer You Measure Them

🚀 Subscribe to the newsletter: https://sketchplanations.substack.com... 📚 Buy the book: https://sketchplanations.com/big-idea... 🖼️ Get a print: https://www.redbubble.com/shop/ap/174... Why does the length of a coastline change depending on how you measure it? In this episode of Sketchplanations: The Podcast, we explore the Coastline Paradox, a counterintuitive idea from mathematics and physics that shows there is no single, fixed length for a coastline. As your measuring ruler gets smaller, the coastline gets longer. Jono Hey explains where the idea came from, from Lewis Fry Richardson to Benoit Mandelbrot, and how it connects to fractals, scale, borders between countries, stock markets, running GPS data, storytelling, and the natural world more broadly. You will come away with a clear understanding of: What the Coastline Paradox is and why it matters Why natural shapes behave differently from simple geometric ones How fractals and scale explain coastlines, clouds, lungs, and mountains Why measurement depends on method, not just precision The sketch that inspired the discussion is the artwork for this episode. For a closer look, visit: https://sketchplanations.com/the-coas... Jono refers to and leans heavily on the writing of Geoffrey West in his book "Scale" to tell the story of how this was discovered: https://geni.us/scale-geoffrey-west #affiliatelink Sketchplanations is a podcast about ideas, facts, and concepts that help fuel better thinking and more interesting conversations. Episode Summary: 00:00 Introduction the Coastline Paradox 04:12 Historical Context and Discovery 14:10 Fractals and Natural World Applications 17:26 Modern Implications and Analogies 24:36 Conclusion and Final Thoughts All music on this podcast series is provided by the very talented Franc Cinelli https://www.franccinelli.com