6-simplicial prism
(Redirected from Heptapetic prism)
6-simplicial prism | |
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File:6-simplicial prism.png | |
Rank | 7 |
Type | Uniform |
Notation | |
Bowers style acronym | Hopip |
Coxeter diagram | x x3o3o3o3o3o () |
Tapertopic notation | 151 |
Elements | |
Exa | 2 heptapeta, 7 hexateric prisms |
Peta | 14 hexatera, 21 pentachoric prisms |
Tera | 42 pentachora, 35 tetrahedral prisms |
Cells | 70 tetrahedra, 35 triangular prisms |
Faces | 70 triangles, 21 squares |
Edges | 7+42 |
Vertices | 14 |
Vertex figure | Hexateric pyramid, edge lengths 1 (base), √2 (legs) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diexal angles | Hop–hix–hixip: 90° |
Hixip–penp–hixip: | |
Heights | Hop atop hop: 1 |
Dyad atop hixip: | |
Central density | 1 |
Number of external pieces | 9 |
Level of complexity | 7 |
Related polytopes | |
Army | Hopip |
Regiment | Hopip |
Dual | Heptapetic tegum |
Conjugate | None |
Abstract & topological properties | |
Flag count | 70560 |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | A6×A1, order 10080 |
Convex | Yes |
Nature | Tame |
The heptapetic prism or hopip is a prismatic uniform polyexon that consists of 2 heptapeta and 7 hexateric prisms as facets. Each vertex joins 1 heptapeton and 6 hexateric prisms. As the name suggests, it is a prism based on the heptapeton, which also makes it a convex segmentoexon.
Vertex coordinates[edit | edit source]
The vertices of a heptapetic prism of edge length 1 are given by:
External links[edit | edit source]
- Klitzing, Richard. "hopip".