Steriruncitruncated 6-simplex
(Redirected from Celliprismatotruncated heptapeton)
Steriruncitruncated 6-simplex | |
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Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Captal |
Coxeter diagram | x3x3o3x3x3o () |
Elements | |
Peta | 7 steriruncitruncated 5-simplices, 7 runcicantellated 5-simplices 21 decachoric prisms 35 triangular-truncated tetrahedral duoprisms 35 hexagonal-truncated tetrahedral duoprisms |
Tera | 140 triangular duoprisms 140 triangular-hexagonal duoprisms 105+105+105+105 truncated tetrahedral prisms 140 hexagonal duoprisms 42 decachora 42+21 prismatorhombated pentachora |
Cells | 420+420+210+210 triangular prisms 420+420+420+210 hexagonal prisms 210+210+105 truncated tetrahedra 105 cuboctahedra |
Faces | 420+420+420 triangles 1260+630+630+630 squares 840+420 hexagons |
Edges | 1260+1260+1260+630 |
Vertices | 1260 |
Vertex figure | Irregular square tettene |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Central density | 1 |
Related polytopes | |
Army | Captal |
Regiment | Captal |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A6, order 5040 |
Convex | Yes |
Nature | Tame |
The steriruncitruncated 6-simplex, also called the steriruncitruncated heptapeton, celliprismatotruncated heptapeton, or captal, is a convex uniform 6-polytope. It consists of 7 steriruncitruncated 5-simplices, 7 runcicantellated 5-simplices, 21 decachoric prisms, 35 triangular-truncated tetrahedral duoprisms, and 35 hexagonal-truncated tetrahedral duoprisms. 2 steriruncitruncated 5-simplices, 1 runcicantellated 5-simplex, 1 decachoric prism, 1 triangular-truncated tetrahedral duoprism, and 2 hexagonal-truncated tetrahedral duoprisms join at each vertex. As the name suggests, it is the steriruncitruncation of the 6-simplex.
Gallery[edit | edit source]
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A5 orthographic projection
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A4
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A3
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A2
External links[edit | edit source]
- Klitzing, Richard. "captal".
- Wikipedia contributors. "Steriruncitruncated 6-simplex".
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