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In seven-dimensional geometry, a hexicated 7-simplex is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-simplex. There are 20 unique hexications for the 7-simplex, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations. The simple hexicated 7-simplex is also called an expanded 7-simplex, with only the first and last nodes ringed, is constructed by an expansion operation applied to the regular 7-simplex. The highest form, the ''hexipentisteriruncicantitruncated 7-simplex'' is more simply called a ''omnitruncated 7-simplex'' with all of the nodes ringed. ==Hexicated 7-simplex== 40px 28+28 x 70 x |- |bgcolor=#e7dcc3|5-faces|| |- |bgcolor=#e7dcc3|4-faces|| |- |bgcolor=#e7dcc3|Cells|| |- |bgcolor=#e7dcc3|Faces|| |- |bgcolor=#e7dcc3|Edges||336 |- |bgcolor=#e7dcc3|Vertices||56 |- |bgcolor=#e7dcc3|Vertex figure||5-simplex antiprism |- |bgcolor=#e7dcc3|Coxeter group||A7×2, 36, order 80640 |- |bgcolor=#e7dcc3|Properties||convex |} In seven-dimensional geometry, a hexicated 7-simplex is a convex uniform 7-polytope, a hexication (6th order truncation) of the regular 7-simplex, or alternately can be seen as an expansion operation. 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「Hexicated 7-simplexes」の詳細全文を読む スポンサード リンク
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