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.