How a Hobbyist Created An Infinite Pattern That Never Repeats

Video Description

Has the Einstein Problem finally been solved? For decades, mathematicians, logicians and professional puzzlers have tried to find the existence of a single tile that by itself scales to infinity without ever repeating it's pattern. Was 2023 the year this illusive shape was found... Merch! I think Scientists are Rockstars so I made t-shirts to celebrate it Einstein Rockstar Tee: https://www.drbenmiles.com/merch/p/rockstar-scientist-tee-einstein Curie Rockstar Tee: https://www.drbenmiles.com/merch/p/rockstar-scientist-tee-curie Schrodinger Rockstar Tee: https://www.drbenmiles.com/merch/p/rockstar-scientist-schrodinger #maths #science #einstein #puzzle #breakthrough Chapters: 0:00 Can A Single Shape Infinitely Tile? 0:52 Regular Tessellating Polygons 3:45 Introducing Irregular Shapes To The Problem 4:23 Non-Periodic and Aperiodic Tiling 5:56 Wang Tiles 7:16 Penrose Tiles 8:35 David Smith and the Aperiodic Monotile, The Hat 10:45 The 'Impossible' Shape - The Spectre 11:59 5 Fold Symmetry In The Real World. Dan Shechtman & Quasicrystals If you enjoy the channel and want even more physics, tech, and business content, I've just launched new Instagram and Threads pages. Follow on the links below Insta: https://www.instagram.com/drbenmiles Threads: https://threads.net/drbenmiles Newsletter https://drbenmiles.substack.com/ A few people have asked so I've added the info below. Some of these are affiliate links. If you make a purchase it doesn't cost you anything extra, but a percentage of the sale will help support this channel and my work to bringing entrepreneurship into science. My camera : https://amzn.to/3ed5Xac My lens: https://amzn.to/3xIAZyA My lav: https://amzn.to/2SeE20Y and https://amzn.to/3nK33wA My mic: https://amzn.to/3gUYYEv