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If anyone is curious, the origami stellated [1] icosahedron in the second image is built from Sonobe modules [2][3], a kind of modular origami. Basic structures
by CodeIsTheEnd 5y ago
If anyone is curious, the origami stellated [1] icosahedron in the second image is built from Sonobe modules [2][3], a kind of modular origami. Basic structures formed by Sonobe units have 3-sided 45-45-90 pyramids on top of an underlying polyhedra with triangular faces.
Each Sonobe unit functions as an edge in the underlying structure, so building a structure around an icosahedron, which has 20 faces and 30 edges, requires 30 units, and yields a stellated icosahedron with 60 faces and 90 edges.
You can also build a stellated octahedron from 12 pieces, and a stellated tetrahedron (which actually just appears as a cube) with 6 pieces, but that's just the beginning [4]!
[1]: Strictly speaking, it's not a true stellation, which is formed by extending the planes of faces until they intersect.
[2]: https://en.wikipedia.org/wiki/Sonobe https://en.wikipedia.org/wiki/Sonobe
[3]: https://www.amherst.edu/media/view/290032/original/oragami.pdf https://www.amherst.edu/media/view/290032/original/oragami.p... (instructions for folding; I believe the image uses the two-mountain folds variation on the first page)
[4]: https://www.polypompholyx.com/2017/01/modularorigami/ https://www.polypompholyx.com/2017/01/modularorigami/
- dgritsko 5y agoI love HN, I stopped as soon as I saw that second image and came to the comment section hoping that there would be a comment like this one. I know what I'm doing this afternoon.