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Wikipedia [1] says it has been proven in 2017 that no convex pentagons that can tile the plane other than these 15 types exist. I've been wondering if there's a
by Grue3 8y ago
Wikipedia [1] says it has been proven in 2017 that no convex pentagons that can tile the plane other than these 15 types exist. I've been wondering if there's a single convex tile that can only tile the plane irregularly, guess not.
[1] https://en.wikipedia.org/wiki/Pentagonal_tiling https://en.wikipedia.org/wiki/Pentagonal_tiling
- pgreenwood 8y agoIt's an open problem to find a single aperiodic tile. It's called the Einstein Problem. https://en.m.wikipedia.org/wiki/Einstein_problem https://en.m.wikipedia.org/wiki/Einstein_problem
- ljcn 8y agoThe einstein problem (lower-case E). Not to be confused with the physicist.
- whatsstolat 8y agoTIL ein stein means one tile.
- Grue3 8y agoIt's an open problem for non-convex tiles (and seems to have a solution for non-continuous tiles).