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

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Number of polytopes formed by connecting points on a hypercube

This is a counting problem, first we need to know a one thing: How many lattice points exist on the boundary of our $L=[0,n]^d$ dimensional cube? We only need count lattice points $x \in [o,n]^d$ …
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