Secrets of the Fibonacci Tiles - 3B1B Summer of Math Exposition
A simple problem about tiling will explain multiple patterns hidden in the Fibonacci sequence. Music by Michael Severson / michaeljseverson . Animations created using https://www.manim.community/. Entry for the 3blue1brown summer of math exposition contest https://www.3blue1brown.com/blog/some1. 0:00 - Intro 3:39 - Identity 1: Partial Sums 5:19 - Identity 2: Pascal's Triangle 6:52 - Identity 3: Sum of Squares 9:01 - Summary

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The Tale of Three Triangles

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A New Way to Look at Fibonacci Numbers

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The Strange Math That Predicts (Almost) Anything

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Tesla’s 3-6-9 and Vortex Math: Is this really the key to the universe?

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A 1.58-Dimensional Object - Numberphile

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The Most Controversial Idea In Math

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The Riemann Hypothesis, Explained

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The Wallis product for pi, proved geometrically

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Pushing Simulations to the LIMIT to Find Order in Chaos

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1 Billion is Tiny in an Alternate Universe: Introduction to p-adic Numbers

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Why Nature Requires Complex Numbers

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The Collatz Multiverse

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The Biggest Project in Modern Mathematics

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Steiner's Porism: proving a cool animation #SoME1

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Percolation: a Mathematical Phase Transition

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