Hepteractic heptacomb
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Hepteractic heptacomb | |
---|---|
Rank | 8 |
Type | Regular |
Space | Euclidean |
Notation | |
Bowers style acronym | Hepth |
Coxeter diagram | x4o3o3o3o3o3o4o () |
Schläfli symbol | {4,3,3,3,3,3,4} |
Elements | |
Zetta | N hepteracts |
Exa | 7N hexeracts |
Peta | 21N penteracts |
Tera | 35N tesseracts |
Cells | 35N cubes |
Faces | 21N squares |
Edges | 7N |
Vertices | N |
Vertex figure | Hecatonicosoctaexon, edge length √2 |
Related polytopes | |
Army | Hepth |
Regiment | Hepth |
Dual | Hepteractic heptacomb |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | R8 |
Convex | Yes |
Nature | Tame |
The hepteractic heptacomb or hepth, also called the hepteractic honeycomb or 7-cubic honeycomb, is the only regular heptacomb or tessellation of 7D Euclidean space. 4 hepteracts join at each peton, and 128 join at each vertex of this honeycomb. It is the 7D hypercubic honeycomb.
Vertex coordinates[edit | edit source]
The vertices of a hepteractic heptacomb of edge length 1 are given by (i, j, k, l, m, n, o), where i, j, k, l, m, n, o are integers.
External links[edit | edit source]
- Wikipedia contributors. "7-cubic honeycomb".