Reversible aperiodic hat tiles
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Smith, Myers, Kaplan, and Goodman-Strauss's aperiodic monotile, the Hat, with Piker's Truchet-like markings on one side
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Public Domain
Smith, Myers, Kaplan, and Goodman-Strauss's aperiodic monotile, the Hat, smooth on one side and with Dan Piker's Truchet-like markings on the other side in relief.
As discovered in March 2023, this single shape tiles the plane but only non-periodically.
Some of the tiles in a tiling must be mirror images of the others. On average there is about 1 mirror image tile for each 7 non mirror image tiles. So print a few mirrored. In the photos the red tiles are the mirrored ones.
For information on this tile see https://aperiodical.com/2023/03/an-aperiodic-monotile-exists/ .