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Aperiodic Monotile — image 1
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Aperiodic Monotile

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A cheap and easy way to experiment with this recently discovered family of aperiodic monotiles.

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Model information

Category
Math
License
Creative Commons — Attribution

This is a cheap and easy way to experiment with the new family of aperiodic monotiles discovered by: David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss.

You can find more info here: https://cs.uwaterloo.ca/~csk/hat/

Or read the whole paper here: https://arxiv.org/abs/2303.10798

 

I'm uploading a parametric OpenScad file that allows you to generate aperiodic monotiles of this family with any values of a and b. The tiles are hollow to save time and material, and you can also choose the line width and the tile height.

I'm also uploading the STL files corresponding to the several default values that are mentioned in the paper, including the Hat tile that everyone is talking about.

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