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Uniform 10-polytope
In ten-dimensional geometry, a 10-polytope is a 10-dimensional polytope whose boundary consists of 9-polytope facets, exactly two such facets meeting at each 8-polytope ridge. A uniform 10-polytope is one which is vertex-transitive, and constructed from uniform facets. == Regular 10-polytopes ==
Regular 10-polytopes can be represented by the Schläfli symbol , with x 9-polytope facets around each peak. There are exactly three such convex regular 10-polytopes: # - 10-simplex # - 10-cube # - 10-orthoplex There are no nonconvex regular 10-polytopes.
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