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In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex. There are four unique degrees of rectifications, including the zeroth, the 7-simplex itself. Vertices of the ''rectified 7-simplex'' are located at the edge-centers of the ''7-simplex''. Vertices of the ''birectified 7-simplex'' are located in the triangular face centers of the ''7-simplex''. Vertices of the ''trirectified 7-simplex'' are located in the tetrahedral cell centers of the ''7-simplex''. == Rectified 7-simplex == or |- |bgcolor=#e7dcc3|Coxeter diagrams|| Or |- |bgcolor=#e7dcc3|6-faces||16 |- |bgcolor=#e7dcc3|5-faces||84 |- |bgcolor=#e7dcc3|4-faces||224 |- |bgcolor=#e7dcc3|Cells||350 |- |bgcolor=#e7dcc3|Faces||336 |- |bgcolor=#e7dcc3|Edges||168 |- |bgcolor=#e7dcc3|Vertices||28 |- |bgcolor=#e7dcc3|Vertex figure||6-simplex prism |- |bgcolor=#e7dcc3|Petrie polygon||Octagon |- |bgcolor=#e7dcc3|Coxeter group||A7, (), order 40320 |- |bgcolor=#e7dcc3|Properties||convex |} The rectified 7-simplex is the edge figure of the 251 honeycomb. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as S. 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 7-simplexes」の詳細全文を読む スポンサード リンク
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