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|- |bgcolor=#e7dcc3|Coxeter-Dynkin diagrams|| |- |bgcolor=#e7dcc3|4-faces||32 |- |bgcolor=#e7dcc3|Cells||80 |- |bgcolor=#e7dcc3|Faces||80 |- |bgcolor=#e7dcc3|Edges||40 |- |bgcolor=#e7dcc3|Vertices||10 |- |bgcolor=#e7dcc3|Vertex figure||60px 16-cell |- |bgcolor=#e7dcc3|Petrie polygon||decagon |- |bgcolor=#e7dcc3|Coxeter groups||BC5, () D5, () |- |bgcolor=#e7dcc3|Dual||5-cube |- |bgcolor=#e7dcc3|Properties||convex |} In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces. It has two constructed forms, the first being regular with Schläfli symbol , and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol or Coxeter symbol 211. It is a part of an infinite family of polytopes, called cross-polytopes or ''orthoplexes''. The dual polytope is the 5-hypercube or 5-cube. == Alternate names== * pentacross, derived from combining the family name ''cross polytope'' with ''pente'' for five (dimensions) in Greek. * Triacontaditeron (or ''triacontakaiditeron'') - as a 32-facetted 5-polytope (polyteron). 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「5-orthoplex」の詳細全文を読む スポンサード リンク
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