[HN Gopher] The Hat, the Spectre and SAT Solvers (2024)
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The Hat, the Spectre and SAT Solvers (2024)
Author : todsacerdoti
Score : 63 points
Date : 2025-06-13 15:14 UTC (7 hours ago)
(HTM) web link (www.nhatcher.com)
(TXT) w3m dump (www.nhatcher.com)
| CliffStoll wrote:
| Terrific article by Nicolas Hatcher! Aperiodic tilings are fun to
| make from paper, wood, and ceramics. I've cut tiles from ceramic
| field tiles.
|
| No surprise that concave cuts in ceramics are a high stress, so
| Kite and Dart tiles don't work very well (the dart is likely to
| crack). Same is true for the Turtle, Hat, and Spectre.
|
| Rhombus tiles are everywhere convex, and the P3 Rhombus tiles are
| easy to cut in a diamond saw (or even a snap-cutter). With a
| diamond band-saw, it's possible to make Penrose rhombs with
| curved (parabolic) edges.
|
| But cutting tiles from stock field tiles produces sharp surface
| edges -- you don't want these as bathroom floor tiles. Also, you
| waste a lot of the field tile as scrap. To get "friendly" tile
| shoulders, I'm experimenting with making Penrose tiles directly
| from high-fired porcelain clay.
| nhatcher wrote:
| Hey, thanks! Good luck with your Penrose tiles. I wish I had
| the time myself :)
| gus_massa wrote:
| Do you have some photos? It may be a nice post.
| kurthr wrote:
| Interestingly, when firing your own, you could also make
| Supertiles from combinatorial collections of Penrose or other
| aperiodic tiles.
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