Chiral Aperiodic Monotile - Spectre in the Machine

Hot on the heels of the discovery of the aperiodic monotile known as the hat, the same group of authors have discovered an even better monotile: the spectre. This one doesn't need any mirror images.

Huge thanks to Craig Kaplan for helping me make the animations!

Video about the hat:    • Aperiodic Monotile - Mad as a Hat  
The paper: https://arxiv.org/pdf/2305.17743.pdf
Additional resources: https://cs.uwaterloo.ca/~csk/spectre/
Proof that nested hierarchies are not periodic: https://strauss.hosted.uark.edu/paper...

Sections
0:00 Intro
1:11 Spectres and the hat-turtle continuum
2:30 Aligning with a grid of kites (hats and turtles)
5:27 Clusters of hats and turtles to hexagons
7:13 Recursive hierarchy
8:22 Putting it all together
9:30 Throwing a curve
11:06 What next?