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The Guardian - US
The Guardian - US
Science
Matthew Cantor

RARE PHOTOS: The miracle that disrupts order mathematicians invent new einstein shape | Vintage Vibes

An aperiodic monotile never repeats a formation, no matter how long the pattern.
An aperiodic monotile never repeats a formation, no matter how long the pattern. Photograph: David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss, 2023

One of mathematics’ most intriguing visual mysteries has finally been solved – thanks to a hobbyist in England.

The conundrum: is there a shape that can be arranged in a tile formation, interlocking with itself ad infinitum, without the resulting pattern repeating over and over again?

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