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That makes sense but now I'm more confused about Penrose tilings. My understanding was that there were rules about placement to avoid periodic tilings. Thinkin
by IanCal 3y ago
That makes sense but now I'm more confused about Penrose tilings. My understanding was that there were rules about placement to avoid periodic tilings.
Thinking out loud, is this down to local Vs global rules? Otherwise I'm a bit confused as to why Penrose tiles were a big deal.
To be clear, I'm fully aware the confusion is because I'm missing something.
- penteract 3y agoWith the Penrose tiling, you can add features to the edges of the tiles which enforce the extra placement rules, so it was the first time a set of 2 tiles which tile the plane only aperiodically was known. https://en.wikipedia.org/wiki/Penrose_tiling#Rhombus_tiling_(P3) https://en.wikipedia.org/wiki/Penrose_tiling#Rhombus_tiling_...
- IanCal 3y agoAh I see! Thanks!