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Truncated 5-cell : ウィキペディア英語版
Truncated 5-cell

In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell.
There are two degrees of trunctions, including a bitruncation.
== Truncated 5-cell==

|-
|bgcolor=#e7dcc3|Coxeter diagram
|colspan=2|
|-
|bgcolor=#e7dcc3|Cells
|10
|5 (''3.3.3'')
5 (''3.6.6'')
|-
|bgcolor=#e7dcc3|Faces
|30
|20
10
|-
|bgcolor=#e7dcc3|Edges
|colspan=2|40
|-
|bgcolor=#e7dcc3|Vertices
|colspan=2|20
|-
|bgcolor=#e7dcc3|Vertex figure
|colspan=2|
Irr. tetrahedron
|-
|bgcolor=#e7dcc3|Symmetry group
|colspan=2|A4, (), order 120
|-
|bgcolor=#e7dcc3|Properties
|colspan=2|convex, isogonal
|-
|bgcolor=#e7dcc3|Uniform index
|colspan=2|''2'' 3 ''4''
|}
The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10 cells: 5 tetrahedra, and 5 truncated tetrahedra. Each vertex is surrounded by 3 truncated tetrahedra and one tetrahedron; the vertex figure is an elongated tetrahedron.

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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