Mathematicians Unveil New 13-Sided Shape with Unique Tiling Properties

TL;DR Summary
A team of mathematicians from various universities has discovered a 2D geometric shape called "the hat" that does not repeat itself when tiled. The shape has 13 sides and was discovered by paring down possibilities using a computer and studying the resulting smaller sets by hand. The researchers suggest that the most likely application of the hat is in the arts.
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