Why You Can’t Draw These 4 Shapes Exactly

https://www.youtube.com/watch?v=HycahwKr0CA With only an unmarked straightedge and a compass, ancient geometers could bisect angles, build equilateral triangles and draw regular pentagons. Yet four simple-sounding…

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Every Shape That Can Roll Without Being Round Explained

https://www.youtube.com/watch?v=sXxMhf1mqAs A wheel does not have to be a circle. Some strange shapes can roll smoothly between two parallel surfaces, and others can roll…

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The Most Controversial Proof in Mathematics Ever

https://www.youtube.com/watch?v=s-J0TWF93WM Mathematics rests on a promise: if a proof is correct, a trained mathematician should be able to check it. Shinichi Mochizuki's claimed proof…

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Every Unsolved Prime Number Problem

Brocard’s Conjecture Twin, Cousin, and Sexy Primes Palindromic Primes Euclid Numbers Goldbach’s Conjecture Brocard’s Conjecture A prime number is a positive whole number that…

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Every Unsolved Geometry Problem that Sounds Easy – Part 2

Five More Geometry Problems That Are Way Harder Than They Look Tripod PackingThe Thomson ProblemThe Levi-Hadwiger ConjectureHeesch’s ProblemKalai’s 3ᵈ Conjecture Tripod Packing Let’s start…

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Unsolved Problems in Graph Theory Explained

Graph theory has uncovered many secrets of networks and relationships, but some problems remain unsolved. Here are three famous unsolved problems in graph theory,…

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Every Weird Temperature Scale Explained

Celsius Fahrenheit Kelvin The Obscure Temperature Scales Celsius Anders Celsius. Public domain, via Wikimedia Commons In its simplest definition, a temperature scale uses numbers…

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Every Weird Measurement System Explained

One of the oldest surviving documents is an ancient Mesopotamian tablet that details a complaint by a customer who was sold 1,080 pounds of…

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Fibonacci and the Birth of Modern Math

Leonardo de Pisa Fundamentally Changed Math Discovering the Fibonacci Series Ancient Indian Discoveries in Sanskrit Texts The Golden Number (Phi, φ) The Golden Spiral…

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