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・ Uniform Symbology
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Uniform 9-polytope
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Uniform 9-polytope : ウィキペディア英語版
Uniform 9-polytope

In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets.
A uniform 9-polytope is one which is vertex-transitive, and constructed from uniform 8-polytope facets.
== Regular 9-polytopes ==

Regular 9-polytopes can be represented by the Schläfli symbol , with w 8-polytope facets around each peak.
There are exactly three such convex regular 9-polytopes:
# - 9-simplex
# - 9-cube
# - 9-orthoplex
There are no nonconvex regular 9-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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