|
t0,8 8 |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagrams|| |- |bgcolor=#e7dcc3|8-face type|| |- |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||256 (8-orthoplex) |- |bgcolor=#e7dcc3|Coxeter group||() |- |bgcolor=#e7dcc3|Dual||self-dual |- |bgcolor=#e7dcc3|Properties||vertex-transitive, edge-transitive, face-transitive, cell-transitive |} The 8-cubic honeycomb or octeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 8-space. It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space, and the tesseractic honeycomb of 4-space. There are many different Wythoff constructions of this honeycomb. The most symmetric form is regular, with Schläfli symbol . Another form has two alternating hypercube facets (like a checkerboard) with Schläfli symbol . The lowest symmetry Wythoff construction has 256 types of facets around each vertex and a prismatic product Schläfli symbol 8. == Related honeycombs == The (), , Coxeter group generates 511 permutations of uniform tessellations, 271 with unique symmetry and 270 with unique geometry. The expanded 8-cubic honeycomb is geometrically identical to the 8-cubic honeycomb. The ''8-cubic honeycomb'' can be alternated into the 8-demicubic honeycomb, replacing the 8-cubes with 8-demicubes, and the alternated gaps are filled by 8-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「8-cubic honeycomb」の詳細全文を読む スポンサード リンク
|