How a Hobbyist Created An Infinite Pattern That Never Repeats

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