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"Einstein Tile" mystery solved: amateur mathematician discovers unique 13-sided "hat" [1]

['Mark Frauenfelder']

Date: 2023-03-31

Mathematicians have long wondered if there was an "einstein tile" – a tile that could be used only to make a non-repeating pattern on an infinite surface. An amateur mathematician named David Smith recently developed a 13-sided tile, nicknamed "the hat," that fits the bill.

Compared to the tiles created by renowned mathematician Roger Penrose, "the hat" stands out because it is a single tile rather than a pair of tiles. Moreover, it is unique among tiles that can create repeating and non-repeating patterns because it cannot create repeating patterns.

[Via Smithsonian]

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[1] Url: https://boingboing.net/2023/03/31/einstein-tile-mystery-solved-amateur-mathematician-discovers-unique-13-sided-hat.html

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