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

|-
|bgcolor=#e7dcc3|Edges||720
|-
|bgcolor=#e7dcc3|Vertices||120
|-
|bgcolor=#e7dcc3|Vertex figure||
|-
|bgcolor=#e7dcc3|Schläfli symbol||
|-
|bgcolor=#e7dcc3|Symmetry group||H4, ()
|-
|bgcolor=#e7dcc3|Coxeter-Dynkin diagram||
|-
|bgcolor=#e7dcc3|Dual|| Small stellated 120-cell
|-
|bgcolor=#e7dcc3|Properties|| Regular
|}
In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol . It is one of 10 regular Schläfli-Hess polytope.
It is constructed by 5 icosahedra around each edge in a pentagrammic figure. The vertex figure is a great dodecahedron.
== Related polytopes ==

It has the same edge arrangement as the 600-cell, grand 120-cell and great 120-cell, and shares its vertices with all other Schläfli–Hess 4-polytope except the great grand stellated 120-cell (another stellation of the 120-cell).
As a faceted 600-cell, replacing the simplicial cells of the 600-cell with icosahedral pentagonal polytope cells, it could be seen as a four-dimensional analogue of the great dodecahedron, which replaces the triangular faces of the icosahedron with pentagonal faces. Indeed, the icosahedral 120-cell is dual to the small stellated 120-cell, which could be taken as a 4D analogue of the small stellated dodecahedron, dual of the great dodecahedron.

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「Icosahedral 120-cell」の詳細全文を読む



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