Tetrahedral symmetry requires that a general point be in a set of 12 -- on each of the 4 faces in each of 3 orientations. You can also add 4 points at the vertices, 4 at each face center, or 6 at each edge center. Combined, any even number of points >= 4 can be arranged with tetrahedral symmetry, albeit not always evenly.
Here is 50 points in tetrahedral symmetry which requires that some of them have valence 7.
#AlgorithmicArt #CreativeCoding
#Processing #glsl #shaders
Steven Dollins
npub12x…wrqm5
2025-06-27 02:48:48 UTC
in reply to nevent1q…6wve
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wss://relay.momostr.pinkPublished at
2025-06-27 02:48:48 UTCEvent JSON
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"content": "Tetrahedral symmetry requires that a general point be in a set of 12 -- on each of the 4 faces in each of 3 orientations. You can also add 4 points at the vertices, 4 at each face center, or 6 at each edge center. Combined, any even number of points \u003e= 4 can be arranged with tetrahedral symmetry, albeit not always evenly.\n\nHere is 50 points in tetrahedral symmetry which requires that some of them have valence 7.\n\n#AlgorithmicArt #CreativeCoding \n#Processing #glsl #shaders\nhttps://files.genart.social/media_attachments/files/114/753/026/624/396/363/original/1ecb0927fde634c6.mp4\n",
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