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7 |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagrams|| |- |bgcolor=#e7dcc3|7-face type|| |- |bgcolor=#e7dcc3|6-face type|| |- |bgcolor=#e7dcc3|5-face type|| |- |bgcolor=#e7dcc3|4-face type|| |- |bgcolor=#e7dcc3|Cell type|| |- |bgcolor=#e7dcc3|Face type|| |- |bgcolor=#e7dcc3|Face figure|| (octahedron) |- |bgcolor=#e7dcc3|Edge figure||8 (16-cell) |- |bgcolor=#e7dcc3|Vertex figure||128 (7-orthoplex) |- |bgcolor=#e7dcc3|Coxeter group||() |- |bgcolor=#e7dcc3|Dual||self-dual |- |bgcolor=#e7dcc3|Properties||vertex-transitive, edge-transitive, face-transitive, cell-transitive |} The 7-cubic honeycomb or hepteractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 7-space. It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space. There are many different Wythoff constructions of this honeycomb. The most symmetric form is regular, with Schläfli symbol . Another form has two alternating 7-cube facets (like a checkerboard) with Schläfli symbol . The lowest symmetry Wythoff construction has 128 types of facets around each vertex and a prismatic product Schläfli symbol 7. == Related honeycombs == The (), , Coxeter group generates 255 permutations of uniform tessellations, 135 with unique symmetry and 134 with unique geometry. The expanded 7-cubic honeycomb is geometrically identical to the 7-cubic honeycomb. The ''7-cubic honeycomb'' can be alternated into the 7-demicubic honeycomb, replacing the 7-cubes with 7-demicubes, and the alternated gaps are filled by 7-orthoplex facets. 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「7-cubic honeycomb」の詳細全文を読む スポンサード リンク
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