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An earlier question: Facility location on manifolds A possibly related earlier post: Cutting convex regions into equal diameter and equal least width pieces - 2 The minimax facility location problem ...

We record some general questions based on Inside-out dissections of solids Inside-out dissections of a cube Can every convex polyhedral solid be inside-out dissected to a congruent polyhedral solid?...

Covering a specific convex shape S with n copies of another specified convex shape S' (which may be different from S) is well studied - for example, https://erich-friedman.github.io/packing/index.html....

We add a bit to: Bounds for minimax facility location in a convex region Two earlier posts: Cutting convex regions into equal diameter and equal least width pieces - 2 and Facility location on ...