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The “hat” shape can tile an infinite plane without creating repeating patterns
Craig S. Kaplan
It is rare for a shape to make a splash, but this year one did just that with the announcement of the first ever single tile that can cover a surface without forming repeating patterns. The discovery of this “aperiodic monotile” in March has since inspired everything from jigsaw puzzles to serious research papers.
“It’s more than I can keep up with in terms of the amount and even, to some extent, the level and depth of the…
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