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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

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How many non-overlapping, mutually non-antipodal unit spheres can be placed on the surface o...

If by linear or semi-definite programming this number could be shown to be less than 24, then this could be a route to showing that the 24-cell (consisting of 12 antipodal pairs of spheres) is the uni …
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