TIL last year they found a single shape that tiles aperiodically
https://aperiodical.com/2023/05/now-thats-what-i-call-an-aperiodic-monotile/ 
Discussion
It's a turtle. Turtle tiles.
it's very nice, would make a great matrix for a display with minimised jaggies
whoa
You had me really excited for a second, but fiat ruins everything. 
And it was some guy playing with shapes at home as a hobby...
This is mind blowing
Little kids love playing with them and making wild unpredictable shapes