Penrose Jigsaw Puzzle Tiles
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Modeled with jigsaw connections to interlock and enforce Penrose Tiling rules.
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The famous aperiodic tiling of the 2D plane can be achieved with these rhombic Penrose tiles. Developed in 1974 by Roger Penrose, and refined down to these two very simple shapes, it is based on 5-sided-symmetry features. Therefore the golden ratio is heavily intertwined with these tiles. E.g.: the long diagonal of the thick tile is exactly phi long.
Designed to interlock, with two disimilar semi-hidden jigsaw features, which adds nice bonus effects:
- The finished tiling can be handled and doesn't fall apart easily.
- The Penrose tiling rules are enforced.
- The connections are hidden from view in the finished tiling for nice and clean aesthetics.
When creating a tiling with these tiles, you will run into dead ends that require some level of backtracking to fulfill the tiling rules.
The following images show the connectors from underneath.
The thick tile reminds me of a certain oger, everyone was talking about back in the day…
… while the thinner tile certainly has some Dragonborn vibes baked into it.
Files with more or less clearance for the jigsaw connectors are also provides in case your printer has better or wores dimensional accuracy than mine.
More about Penrose tilings:
https://en.wikipedia.org/wiki/Penrose_tiling