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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
3
votes
What are the applications of Voronoi diagrams in pure mathematics?
They are honestly used all over the place, it's easy for this to get out of control. Maybe one non-obvious place is the construction of the canonical triangulation of a hyperbolic 3-manifold:
Epstein …
7
votes
4-polytope with vertices at the binary octahedral group
I just came across this old question, which I happened to think about earlier. Let me give a more explicit description. As you noted, the binary tetrahedral group forms the vertices of a 24-cell. The …