Bitruncated 7-simplex
(Redirected from Bitruncated octaexon)
Bitruncated 7-simplex | |
---|---|
Rank | 7 |
Type | Uniform |
Notation | |
Bowers style acronym | Bittoc |
Coxeter diagram | o3x3x3o3o3o3o () |
Elements | |
Exa | 8 truncated heptapeta, 8 bitruncated heptapeta |
Peta | 28 hexatera, 56 truncated hexatera, 28 bitruncated hexatera |
Tera | 168 pentachora, 168 truncated pentachora, 56 decachora |
Cells | 420 tetrahedra, 70+280 truncated tetrahedra |
Faces | 56+560 triangles, 280 hexagons |
Edges | 168+420 |
Vertices | 168 |
Vertex figure | Pentachoric scalene, edge lengths 1 (base and top edge) and √3 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diexal angles | Batal–tix–til: |
Batal–bittix–batal: | |
Til–hix–til: | |
Central density | 1 |
Number of external pieces | 16 |
Level of complexity | 21 |
Related polytopes | |
Army | Bittoc |
Regiment | Bittoc |
Conjugate | None |
Abstract & topological properties | |
Flag count | 846720 |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | A7, order 40320 |
Convex | Yes |
Nature | Tame |
The bitruncated octaexon, or bittoc, also called the bitruncated 7-simplex, is a convex uniform polyexon. It consists of 8 truncated heptapeta and 8 bitruncated heptapeta. 2 truncated heptapeta and 5 bitruncated heptapeta join at each vertex. As the name suggests, it is the bitruncation of the octaexon.
Vertex coordinates[edit | edit source]
The vertices of a bitruncated octaexon of edge length 1 can be given in eight dimensions as all permutations of:
External links[edit | edit source]
- Klitzing, Richard. "bittoc".
- Wikipedia contributors. "Bitruncated 7-simplex".
[[Category:A7 symmetry