GoKawiilRecent Groundbreaking Discoveries in Mathematics
The Hat and the Spectre
In tiling the plane, the Hat mixed unreflected and reflected tiles, leaving open the question of whether a single shape could tile aperiodically using translations and rotations alone. This question was answered with the exciting discovery of the Spectre, an aperiodic monotile that is “chiral,” meaning that reflected copies of the tile are not needed to form a tiling and no tiling with unreflected copies has a repeating pattern.
The Hat in the Press
The Einstein Mad Hat Competitions
To celebrate the recent discovery of the Hat and Spectre tiles, which tessellate the plane but only in a non-repeating way, the National Museum of Mathematics and the United Kingdom Mathematics Trust organized The Einstein Mad Hat Competitions, seeking creative renditions of the Hat and Spectre tiles.
Check out the winners of the Einstein Mad Hat Awards.
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Learn about the first discovery: the Hat
Presenting “the Hat,” a newly discovered (and first-ever!) shape that can tile the plane endlessly but only without ever quite repeating the pattern.
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