Icositetrachoric prism
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Icositetrachoric prism | |
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File:Icositetrachoric prism.png | |
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Icope |
Coxeter diagram | x x3o4o3o () |
Elements | |
Tera | 24 octahedral prisms, 2 icositetrachora |
Cells | 96 triangular prisms, 48 octahedra |
Faces | 192 triangles, 96 squares |
Edges | 24+192 |
Vertices | 48 |
Vertex figure | Cubic pyramid, edge lengths 1 (base), √2 (legs) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | 2 |
Diteral angles | Ope–trip–ope: 120° |
Ico–oct–ope: 90° | |
Height | 1 |
Central density | 1 |
Number of external pieces | 26 |
Level of complexity | 5 |
Related polytopes | |
Army | Icope |
Regiment | Icope |
Dual | Icositetrachoric tegum |
Conjugate | None |
Abstract & topological properties | |
Flag count | 11520 |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | F4×A1, order 2304 |
Convex | Yes |
Nature | Tame |
The icositetrachoric prism or icope is a prismatic uniform polyteron that consists of 2 icositetrachora and 24 octahedral prisms. 1 icositetrachoron and 6 octahedral prisms join at each vertex. As the name suggests, it is a prism based on the icositetrachoron, which also makes it a convex segmentoteron.
The icositetrachoric prism contains the vertices of a regular penteract.
Vertex coordinates[edit | edit source]
The vertices of an 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. "Icope".
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