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Runcinated 120-cell : ウィキペディア英語版
Runcinated 120-cells

In four-dimensional geometry, a runcinated 120-cell (or ''runcinated 600-cell'') is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 120-cell.
There are 4 degrees of runcinations of the 120-cell including with permutations truncations and cantellations.
The ''runcinated 120-cell'' can be seen as an expansion applied to a regular 4-polytope, the 120-cell or 600-cell.
==Runcinated 120-cell==
+
1440
|-
|bgcolor=#e7dcc3|Edges||7200
|-
|bgcolor=#e7dcc3|Vertices||2400
|-
|bgcolor=#e7dcc3|Vertex figure||
Equilateral-triangular antipodium
|-
|bgcolor=#e7dcc3|Schläfli symbol|| t0,3
|-
|bgcolor=#e7dcc3|Symmetry group||H4, (), order 14400
|-
|bgcolor=#e7dcc3|Properties||convex
|}
The runcinated 120-cell or small disprismatohexacosihecatonicosachoron is a uniform 4-polytope. It has 2640 cells: 120 dodecahedra, 720 pentagonal prisms, 1200 triangular prisms, and 600 tetrahedra. Its vertex figure is a nonuniform triangular antiprism (equilateral-triangular antipodium): its bases represent a dodecahedron and a tetrahedron, and its flanks represent three triangular prisms and three pentagonal prisms.

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「Runcinated 120-cells」の詳細全文を読む



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