Tritruncated 7-simplex
(Redirected from Tritruncated octaexon)
Tritruncated 7-simplex | |
---|---|
Rank | 7 |
Type | Uniform |
Notation | |
Bowers style acronym | Tattoc |
Coxeter diagram | o3o3x3x3o3o3o () |
Elements | |
Exa | 8 bitruncated heptapeta, 8 tetradecapeta |
Peta | 28 truncated hexatera, 28+56 bitruncated hexatera |
Tera | 56 pentachora, 56+168 truncated pentachora, 168 decachora |
Cells | 70+280 tetrahedra, 280+420 truncated tetrahedra |
Faces | 280+560 triangles, 560 hexagons |
Edges | 420+560 |
Vertices | 280 |
Vertex figure | Tetrahedral tettene, edge lengths 1 (bases) and √3 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diexal angles | Fe–bittix–batal: |
Fe–bittix–fe: | |
Batal–tix–batal: | |
Central density | 1 |
Number of external pieces | 16 |
Level of complexity | 35 |
Related polytopes | |
Army | Tattoc |
Regiment | Tattoc |
Conjugate | None |
Abstract & topological properties | |
Flag count | 1411200 |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | A7, order 40320 |
Convex | Yes |
Nature | Tame |
The tritruncated octaexon, or tattoc, also called the tritruncated 7-simplex, is a convex uniform polyexon. It consists of 8 bitruncated heptapeta and 8 tetradecapeta. 3 bitruncated heptapeta and 4 tetradecapeta join at each vertex. As the name suggests, it is the tritruncation of the octaexon.
Vertex coordinates[edit | edit source]
The vertices of a tritruncated octaexon of edge length 1 can be given in eight dimensions as all permutations of:
External links[edit | edit source]
- Klitzing, Richard. "tattoc".
- Wikipedia contributors. "Tritruncated 7-simplex".