Prismatorhombated icositetrachoric prism
Prismatorhombated icositetrachoric prism | |
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File:Prismatorhombated icositetrachoric prism.png | |
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Pricope |
Coxeter diagram | x x3x4o3x |
Elements | |
Tera | 96 triangular-square duoprisms, 96 square-hexagonal duoprisms, 24 truncated octahedral prisms, 24 small rhombicuboctahedral prisms, 2 prismatorhombated icositetrachora, |
Cells | 192+192 triangular prisms, 144+288+288 cubes, 192+192 hexagonal prisms, 48 truncated octahedra, 48 small rhombicuboctahedra |
Faces | 384 triangles, 288+288+576+576+576+576 squares, 384 hexagons |
Edges | 576+576+1152+1152 |
Vertices | 1152 |
Vertex figure | Isosceles trapezoidal pyramidal pyramid, edge lengths 1, √2, √3 (base), √2 (legs) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diteral angles | Shiddip–cube–tisdip: |
Tope–hip–shiddip: 150° | |
Sircope–trip–tisdip: 150° | |
Sircope–4–shiddip: | |
Sircope–cube–tope: 135° | |
Prico–sirco–sircope: 90° | |
Prico–toe–tope: 90° | |
Prico–hip–shiddip: 90° | |
Prico–trip–tisdip: 90° | |
Height | 1 |
Central density | 1 |
Number of external pieces | 242 |
Level of complexity | 80 |
Related polytopes | |
Army | Pricope |
Regiment | Pricope |
Dual | Deltopyramidal pentacosiheptacontahexachoric tegum |
Conjugate | Prismatoquasirhombated icositetrachoric prism |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | F4×A1, order 2304 |
Convex | Yes |
Nature | Tame |
The prismatorhombated icositetrachoric prism or pricope is a prismatic uniform polyteron that consists of 2 prismatorhombated icositetrachora, 24 small rhombicuboctahedral prisms, 24 truncated octahedral prisms, 96 square-hexagonal duoprisms, and 96 triangular-square duoprisms. 1 prismatorhombated icositetrachora, 1 small rhombicuboctahedral prism, 1 truncated octahedral prism, 1 triangular-square duoprism, and 2 square-hexagonal duoprisms join at each vertex. As the name suggests, it is a prism based on the prismatorhombated icositetrachoron, which also makes it a convex segmentoteron.
This polyteron can be subsymmetrically faceted into a prismatorhombisnub icositetrachoric alterprism, although it cannot be made scaliform.
Vertex coordinates[edit | edit source]
The vertices of a prismatorhombated icositetrachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
External links[edit | edit source]
- Klitzing, Richard. "Pricope".