"The Hat" geometrically irregular monotile
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A model recreation of "The Hat," an irregularly tessellating tile.
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Model information
- Source
- Printables
- Category
- Other 3D Objects for Learning
- License
- Creative Commons — Attribution
The Hat, as created/proposed by David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss in March 2023, is a 13-sided geometric shape that tessellates in irregular patterns, ‘aperiodicity.’
After reading a couple of articles about it, I excitedly texted my partner that “a new shape just dropped!” She, being a preschool teacher said “Big news in the pre-K circuit if true.”
She's not wrong. I may not understand all the maths behind it, but the fact that this object can just endlessly be fit together in irregular ways fascinates me, and I cannot wait to print out a whole bunch of these to give to my partner's class to a bunch of children that will probably just throw them around. But we all take our own learning paths.
Read more about The Hat here-
https://cs.uwaterloo.ca/~csk/hat/
https://arxiv.org/abs/2303.10798
As long as you keep scale consistent, print at whatever layer height and whatever infill % you want.