Aperiodic Tilings
Intro to the How and Why of Aperiodic Tilings Tilings! Also called tessellations, patterns in the Euclidian plane, space filling arrangements of infinitely many copies of geometric shapes, or just considered to be things in photos of interior design magazines... Tilings have a rich history, from the Sumerians in 4000BC, via the Romans' geometric mosaics, through the Girih and Zellij tilings used in Medieval mosques, to the modern theorems and ideas that have lead to new materials, facts about arrangements of things and packings, and interesting YT videos on the quirkier side of 'covering the plane with shapes'... To anyone who knows me personally, or professionally, it should be no surprise that I get rather very excited when I see videos on YouTube or blog posts or book sections on tilings. The reason why might not be that well known - but I spent the years on my PhD studying the computability and unsolvability of tilings!! (For the curious, here's my thesis: ht