Post #362548
2026-02-21 00:48 UTC
I built a new 2D coordinate-motion model based on the Cairo tiling, a periodic tiling of the plane. All the identical pieces move in and out together.
There are two independent expanding motions, rotated 90° from each other. Each one opens only half of the triangular holes. You can also tell them apart by watching how the central square expands.
If you combine the two motions, all the holes open and the pieces move uniformly.
Since each piece is an irregular pentagon, assembly turned out to be trickier than I expected. If I'm not careful, I end up connecting the wrong sides.
Replies (4)
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@nanma80@mathstodon.xyz 2026-02-21 00:48
Various stages of the motions
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@hallunke23@troet.cafe 2026-02-21 06:22
Why are there swastikas in that thing? @nanma80@mathstodon.xyz
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@laubhaut@mastodon.social 2026-02-21 08:37
@nanma80@mathstodon.xyz This is so cool!
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@slowtiger@berlin.social 2026-02-21 09:43
@nanma80@mathstodon.xyz Can we have this as noodles?