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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)』 ■ウィキペディアで「Rectified 120-cell」の詳細全文を読む スポンサード リンク
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