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Penrose tilings have similar issues. You can’t just combine them any possible way. There only a few valid vertex arrangements (tile positions around a point) to
by dexwiz 3y ago
Penrose tilings have similar issues. You can’t just combine them any possible way. There only a few valid vertex arrangements (tile positions around a point) to result in infinite aperiodic tiling. If you mess up, the resulting overlap can happen pretty far away.
- isoprophlex 3y agoExactly! Beyond a certain number of tiles, I'm constantly having to backtrack in order to fix some overlap. And they happen all over the place, in difficult to predict circumstances. There's this to help create non-overlapping tilings, but understanding it is completely beyond me (or the amount of time I have to invest, I tell myself...) https://www.chiark.greenend.org.uk/~sgtatham/quasiblog/aperiodic-spectre/ https://www.chiark.greenend.org.uk/~sgtatham/quasiblog/aperi...