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How a Hobbyist Created An Infinite Pattern That Never Repeats

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Dr Ben Miles

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 tshirts to celebrate it
Einstein Rockstar Tee: https://www.drbenmiles.com/merch/p/ro...
Curie Rockstar Tee: https://www.drbenmiles.com/merch/p/ro...
Schrodinger Rockstar Tee: https://www.drbenmiles.com/merch/p/ro...

#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 NonPeriodic 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:   / 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

posted by bife5x