Mathematicians create 'impossible' Einstein tile for perfect tiling without repetition.

TL;DR
Mathematicians have discovered a new 13-sided shape called "The hat" that can completely cover a surface without ever creating a repeated pattern, making it an aperiodic tile. The shape was discovered by an amateur mathematician and a professor at the University of Waterloo in Canada. The finding has created quite a stir since its release in late March and could be significant across other fields of research, according to experts. The shape is publicly available and not going to be copyrighted.
Topics:worldscience-and-technology#aperiodic#discovery#geometry#mathematics#science-and-technology#tile
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