Aperiodic tilings! Just a couple of years ago someone discovered a single tile (down from the set of ~20000 that was first used to prove that aperiodic tiling was even possible) that can completely cover an infinite plane without ever falling into a repeating pattern.
- 0 Posts
- 5 Comments
Joined 2 years ago
Cake day: June 12th, 2023
You are not logged in. If you use a Fediverse account that is able to follow users, you can follow this user.
ProfessorScience@lemmy.worldto Technology@lemmy.world•Why I Ditched Spotify, and How I Set Up My Own Music StackEnglish2·7 days agoDoes navidrome support Chromecast? I’ve had a hard time finding a self hosted music solution that will actual cast. I do have a public facing domain name with certs that, as far as I can tell, is working correctly.
ProfessorScience@lemmy.worldto Ask Lemmy@lemmy.world•Which “small” indie game/film/book hit you harder than most blockbusters?English9·24 days agoTUNIC
It’s a good game in general, butspoiler
If you, as a kid, had to decipher an older sibling’s notes in game manual, it hits that nostalgia right on the nose. And then turns it on its head.
ProfessorScience@lemmy.worldto politics @lemmy.world•Why Republicans Are Terrified of Nonexistent CrimeEnglish19·28 days agoWell, they also need things for their base to be afraid of. Gays. Trans. Immigrants. Urban crime. "Only we can protect you from the scary, scary things!”
Aperiodic, in this sense, doesn’t mean that there aren’t any bits that repeat. In fact, if you pick any patch of tiles of any arbitrary size, that patch will be repeated infinitely many times. What it means to be aperiodic is that if you slide the whole tiling over so that one of the patches aligns with the repeated bit, there will still be something outside the patch that doesn’t align. Compare that with, say, a repeating grid of squares, where if you slide one square onto a different square then everything lines up, all the way to infinity; it’s impossible to tell that it’s been slid over.