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I got 144 wooden spectre tiles from a laser cutter shop to play with. It's surprisingly difficult (for me, without any mathematical ability) to make a proper ti
by isoprophlex 3y ago
I got 144 wooden spectre tiles from a laser cutter shop to play with. It's surprisingly difficult (for me, without any mathematical ability) to make a proper tiling beyond ~ 30 tiles. I was never able to densely tile the plane with all 144... thus shattering my hopes of getting these in ceramics and tile a floor with them.
- dexwiz 3y agoPenrose 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...