Can these tiles actually be bought? For the bathroom floor. Or for paving the driveway. :)

When these went viral in 2022 I read the research paper and found out that not only do they form a non-repeating pattern, but that non-repeating pattern relies on the occasional tile being reversed. That inspired me to 3D print a bunch of these that were a different color on each side and try assembling them. It's very interesting, because you have a lot of options for how to put them together, but occasionally you'll hit a point where the pattern itself forces you to put one in upside down, even though it's non-repeating. Also, it's possible to put it together "wrong" where at one edge you can't add any more tiles in either orientation and have to disassemble part of it to continue. Very interesting to mess with.

Is it just me or is the radial pattern not apparent to others? Starting with the red "hat" top center, work outward in a spiral. It's not bilaterally symmetrical, but it appears to be chiral.

Going to read more about this.

That's a surprising prooerty for a shape that's just 8/3 of an equilateral triangle

I wonder if there's a way to apply this pattern to create some specific kind of cellular automaton.

Honestly idk enough about this stuff to even know if that's a dumb question, but at the very least, the image reminded me of that.

I don't really get it, don't the colors highlight the repeating patterns? How can it not have repeating patterns with clearly repeating patterns like that? They're probably using some useless definition of "repeating", right?

without a doubt, they would me awesome for some kind of board game

is this the pattern that was found on the walls of a 1000 year old chapel in like Uzbekistan?

according to the scriptures of that particular sect it was called "the pattern of life" or something.

doubt "x"