Spectre Chiral Aperiodic Monotile
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A fun little mathematical shape that tiles aperiodically using only translations and rotations.
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Public Domain
It's one thing to play around with these in a 2D program, but it's way more educational to print a few out and place them together with your hands (they are only 4 CM across).
Even though I made this model, I can't take any credit for the creation of the underlying 2D design. Back when the “Hat” was discovered I made a little puzzle using that exciting discovery, and now that the "Spectre" has been derived from it I'm thrilled to add this new polykite that permits reflections and doesn't require a mirrored model to function.
This tile I made is derived directly from the SVG file provided by the original authors of the paper that outlines the discovery. It's also high resolution so the pieces fit together almost perfectly. The cutout of the arrow in the center is my own innovation that I find adds a fun visual aid that helps you see the true dynamism of the pattern generated by the tiles.
Giving full credit to the team who did the original research: David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss. You can read all about it here: https://cs.uwaterloo.ca/~csk/spectre/