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|- |bgcolor=#e7dcc3|Edges||1200 |- |bgcolor=#e7dcc3|Vertices||120 |- |bgcolor=#e7dcc3|Vertex figure|| |- |bgcolor=#e7dcc3|Schläfli symbol|| |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|Symmetry group||H4, () |- |bgcolor=#e7dcc3|Dual|| Icosahedral 120-cell |- |bgcolor=#e7dcc3|Properties|| Regular |} In geometry, the small stellated 120-cell or stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol . It is one of 10 regular Schläfli-Hess polytopes. == Related polytopes == It has the same edge arrangement as the great grand 120-cell, and also shares its 120 vertices with the 600-cell and eight other regular star 4-polytope. It may also be seen as the ''first stellation'' of the 120-cell. In this sense it could be seen as analogous to the three-dimensional small stellated dodecahedron, which is the first stellation of the dodecahedron. Indeed, the small stellated 120-cell is dual to the icosahedral 120-cell, which could be taken as a 4D analogue of the great dodecahedron, dual of the small stellated dodecahedron. The edges of the small stellated 120-cell are τ2 as long as those of the 120-cell core inside the 4-polytope. 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「Small stellated 120-cell」の詳細全文を読む スポンサード リンク
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