|
In five-dimensional geometry, a stericated 5-simplex is a convex uniform 5-polytope with fourth-order truncations (sterication) of the regular 5-simplex. There are six unique sterications of the 5-simplex, including permutations of truncations, cantellations, and runcinations. The simplest stericated 5-simplex is also called an expanded 5-simplex, with the first and last nodes ringed, for being constructible by an expansion operation applied to the regular 5-simplex. The highest form, the ''steriruncicantitruncated 5-simplex'' is more simply called an omnitruncated 5-simplex with all of the nodes ringed. == Stericated 5-simplex == 15+15 × |- |bgcolor=#e7dcc3|Cells |180 |60 120 90 |- |bgcolor=#e7dcc3|Edges |colspan=2|120 |- |bgcolor=#e7dcc3|Vertices |colspan=2|30 |- |bgcolor=#e7dcc3|Vertex figure |colspan=2|80px Tetrahedral antiprism |- |bgcolor=#e7dcc3|Coxeter group |colspan=2|A5×2, , order 1440 |- |bgcolor=#e7dcc3|Properties |colspan=2|convex, isogonal, isotoxal |} A stericated 5-simplex can be constructed by an expansion operation applied to the regular 5-simplex, and thus is also sometimes called an expanded 5-simplex. It has 30 vertices, 120 edges, 210 faces (120 triangles and 90 squares), 180 cells (60 tetrahedra and 120 triangular prisms) and 62 4-faces (12 5-cells, 30 tetrahedral prisms and 20 3-3 duoprisms). 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「Stericated 5-simplexes」の詳細全文を読む スポンサード リンク
|
