Runcicantitruncated 6-simplex
(Redirected from Great prismated heptapeton)
Runcicantitruncated 6-simplex | |
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Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Gapil |
Coxeter diagram | x3x3x3x3o3o () |
Elements | |
Peta | 7 runcicantitruncated 5-simplices 7 cantitruncated 5-simplices 21 truncated pentachoric prisms 35 hexagonal-tetrahedral duoprisms |
Tera | 140 triangular-hexagonal duoprisms 105+105 tetrahedral prisms 105 truncated tetrahedral prism 42 great rhombated pentachora 42 truncated pentachora 21 great prismatodecachora |
Cells | 420+420 triangular prisms 210+210 hexagonal prisms 210 tetrahedra 210 truncated tetrahedra 105+35 truncated octahedra |
Faces | 840 triangles 630+630+210 squares 420+140+140 hexagons |
Edges | 1260+420+420+420 |
Vertices | 840 |
Vertex figure | Irregular triangular tettene |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Central density | 1 |
Related polytopes | |
Army | Gapil |
Regiment | Gapil |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A6, order 5040 |
Convex | Yes |
Nature | Tame |
The runcicantitruncated 6-simplex, also called the runcicantitruncated heptapeton, great prismated heptapeton, or gapil, is a convex uniform 6-polytope. It consists of 7 runcicantitruncated 5-simplices, 7 cantitruncated 5-simplices, 21 truncated pentachoric prisms, and 35 hexagonal-tetrahedral duoprisms. 3 runcicantitruncated 5-simplices, 1 cantitruncated 5-simplex, 1 truncated pentachoric prism, and 1 hexagonal-tetrahedral duoprism join at each vertex. As the name suggests, it is the runcicantitruncation 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. "gapil".
- Wikipedia contributors. "Runcicantitruncated 6-simplex".
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