Tuesday, April 18, 2023

Aperiodic Monotile

The simple tile shapes that most folks use on their floors end up with a design that repeats itself over and over.  A group of mathematicians found a single shape that does not repeat itself when tiled and found the thirteen-sided shape seen below.  They call their shape a "hat", but the technical name is "einstein", which means "one stone" in German, not a reference to Albert.  So if you're looking for some really wild floor tile patterns, this might be useful, although I have no idea if anyone sells these yet.

More information and a link to their 89-page mathematical proof can be found at the link below.

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