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Joseph O'Rourke

https://mathstodon.xyz/@JosephORourke

Smith College, Computer Science & Mathematics. Emeritus.

Twitter: @JosephOfRourke
Web page: http://cs.smith.edu/~jorourke/
Mathoverflow: http://mathoverflow.net/users/6094/joseph-orourke

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Last Notes

2025-09-26 18:22:12 GMT

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Just: convex faces, no "partially-flat" vertices, no three collinear vertices.

2025-09-26 16:49:25 GMT

Stoker's Conjecture settled by Cho & Kim positively: "Every 3D polyhedron is uniquely determined by its dihedral angles and edge lengths, even if nonconvex or self-intersecting" (subject to technical restrictions).
https://doi.org/10.1007/s00454-024-00670-w

2024-12-19 19:31:56 GMT

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Beautiful software! Incidentally, those star-shaped polygons are known as the star unfoldings of the polyhedra. From a point x on the surface, cut all shortest paths from x to each vertex.