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arxiv: 0710.4870 · v1 · submitted 2007-10-25 · 🧮 math.MG

The Lonely Vertex Problem

classification 🧮 math.MG
keywords vertexspaceconvexeithereuclideanfiniteleastlocally
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In a locally finite tiling of n-dim Euclidean space by convex polytopes, each point of the space is either a vertex of at least two tiles, or no vertex at all.

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