Tritruncated 7-simplex

From Polytope Wiki
(Redirected from Tritruncated octaexon)
Jump to navigation Jump to search
Tritruncated 7-simplex
Rank7
TypeUniform
Notation
Bowers style acronymTattoc
Coxeter diagramo3o3x3x3o3o3o ()
Elements
Exa8 bitruncated heptapeta, 8 tetradecapeta
Peta28 truncated hexatera, 28+56 bitruncated hexatera
Tera56 pentachora, 56+168 truncated pentachora, 168 decachora
Cells70+280 tetrahedra, 280+420 truncated tetrahedra
Faces280+560 triangles, 560 hexagons
Edges420+560
Vertices280
Vertex figureTetrahedral tettene, edge lengths 1 (bases) and 3 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Diexal anglesFe–bittix–batal:
 Fe–bittix–fe:
 Batal–tix–batal:
Central density1
Number of external pieces16
Level of complexity35
Related polytopes
ArmyTattoc
RegimentTattoc
ConjugateNone
Abstract & topological properties
Flag count1411200
Euler characteristic2
OrientableYes
Properties
SymmetryA7, order 40320
ConvexYes
NatureTame

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]