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Uniform 8-polytope
In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets. Each 6-polytope ridge being shared by exactly two 7-polytope facets.
A uniform 8-polytope is one which is vertex-transitive, and constructed from uniform 7-polytope facets.
== Regular 8-polytopes ==
Regular 8-polytopes can be represented by the Schläfli symbol , with v 7-polytope facets around each peak.
There are exactly three such convex regular 8-polytopes:
# - 8-simplex
# - 8-cube
# - 8-orthoplex
There are no nonconvex regular 8-polytopes.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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