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Stericated 5-simplex : ウィキペディア英語版
Stericated 5-simplexes

In five-dimensional geometry, a stericated 5-simplex is a convex uniform 5-polytope with fourth-order truncations (sterication) of the regular 5-simplex.
There are six unique sterications of the 5-simplex, including permutations of truncations, cantellations, and runcinations. The simplest stericated 5-simplex is also called an expanded 5-simplex, with the first and last nodes ringed, for being constructible by an expansion operation applied to the regular 5-simplex. The highest form, the ''steriruncicantitruncated 5-simplex'' is more simply called an omnitruncated 5-simplex with all of the nodes ringed.
== Stericated 5-simplex ==

15+15 ×
|-
|bgcolor=#e7dcc3|Cells
|180
|60
120
90
|-
|bgcolor=#e7dcc3|Edges
|colspan=2|120
|-
|bgcolor=#e7dcc3|Vertices
|colspan=2|30
|-
|bgcolor=#e7dcc3|Vertex figure
|colspan=2|80px
Tetrahedral antiprism
|-
|bgcolor=#e7dcc3|Coxeter group
|colspan=2|A5×2, , order 1440
|-
|bgcolor=#e7dcc3|Properties
|colspan=2|convex, isogonal, isotoxal
|}
A stericated 5-simplex can be constructed by an expansion operation applied to the regular 5-simplex, and thus is also sometimes called an expanded 5-simplex. It has 30 vertices, 120 edges, 210 faces (120 triangles and 90 squares), 180 cells (60 tetrahedra and 120 triangular prisms) and 62 4-faces (12 5-cells, 30 tetrahedral prisms and 20 3-3 duoprisms).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Stericated 5-simplexes」の詳細全文を読む



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