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"New geometric shape discovered with non-repeating tiling ability"

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Source: Phys.org
"New geometric shape discovered with non-repeating tiling ability"
Photo: Phys.org
TL;DR

A team of mathematicians has discovered a 2D geometric shape called "the hat" that does not repeat itself when tiled, making it an aperiodic monotile. The shape has 13 sides and is a single shape that could be used for aperiodic tiling all by itself. The researchers suggest that the most likely application of the hat is in the arts.

Topics:sciencescience-and-technology#aperiodic#art#geometry#mathematics#science-and-technology#tiling
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  1. A geometric shape that does not repeat itself when tiled  Phys.org
  2. Think you can spot a repeating pattern in this image? Well you're WRONG!  Daily Mail
  3. Mathematicians discover shape that can tile a wall and never repeat  New Scientist
  4. View Full Coverage on Google News

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