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

In geometry, a rectified 120-cell is a uniform 4-polytope formed as the rectification of the regular 120-cell.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC120.
There are four rectifications of the 120-cell, including the zeroth, the 120-cell itself. The birectified 120-cell is more easily seen as a rectified 600-cell, and the trirectified 120-cell is the same as the dual 600-cell.
==Rectified 120-cell==

|-
|bgcolor=#e7dcc3|Cells||720 total:
120 (3.5.3.5)
600 (3.3.3)
|-
|bgcolor=#e7dcc3|Faces||3120 total:
2400 , 720
|-
|bgcolor=#e7dcc3|Edges||3600
|-
|bgcolor=#e7dcc3|Vertices||1200
|-
|bgcolor=#e7dcc3|Vertex figure||
triangular prism
|-
|bgcolor=#e7dcc3|Symmetry group||H4 or ()
|-
|bgcolor=#e7dcc3|Properties||convex, vertex-transitive, edge-transitive
|}
In geometry, the rectified 120-cell or rectified hecatonicosachoron is a convex uniform 4-polytope composed of 600 regular tetrahedra and 120 icosidodecahedra cells. Its vertex figure is a triangular prism, with three icosidodecahedra and two tetrahedra meeting at each vertex.
Alternative names:
* Rectified 120-cell (Norman Johnson)
* Rectified hecatonicosichoron / rectified dodecacontachoron / rectified polydodecahedron
* Icosidodecahedral hexacosihecatonicosachoron
* Rahi (Jonathan Bowers: for rectified hecatonicosachoron)
* Ambohecatonicosachoron (Neil Sloane & John Horton Conway)

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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