An aperiodic monotile: an 'einstein'

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Charles Pegge




If you know about Penrose tiles you will understand the significance of this discovery.

Mathematicians create a non-repeating pattern from a new 13-sided polygon dubbed 'the hat'
It's a shape called an "einstein" that researchers have been seeking for decades
https://www.techspot.com/news/98145-mathematicians-create-non-repeating-pattern-new-13-sided.html
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An aperiodic monotile
David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss, 2023
https://cs.uwaterloo.ca/~csk/hat/
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An aperiodic monotile
David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss
https://arxiv.org/abs/2303.10798
20 Mar 2023
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https://cs.uwaterloo.ca/~csk/hat/examples/hats_thumb.png