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"Top" Hat Aperiodic Monotile — image 1

"Top" Hat Aperiodic Monotile

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A version of the Hat monotile with the hexagon thirds that can be used to construct it shown on one side.

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Model information

Category
Math
License
Creative Commons — Attribution

Based on the shape discovered by David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss. https://arxiv.org/abs/2303.10798

This model has beveled grooves on one side which trace the trisected hexagons that can be used to construct the shape, giving it a more interesting appearance. I mostly use it for material samples. There is one orientation modeled, so if you want to tile an area with these, some will need to be flipped over, or you will need to print some mirrored. Orient groove-side down if printing without top/bottom layers.