Truncated icositetrachoric prism
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Truncated icositetrachoric prism | |
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File:Truncated icositetrachoric prism.png | |
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Ticope |
Coxeter diagram | x x3x4o3o |
Elements | |
Tera | 24 tesseracts, 24 truncated octahedral prisms, 2 truncated icositetrachora |
Cells | 48+144 cubes, 96 hexagonal prisms, 48 truncated octahedra |
Faces | 96+288+288 squares, 192 hexagons |
Edges | 192+192+576 |
Vertices | 384 |
Vertex figure | Triangular pyramidal pyramid, edge lengths √2, √3 (base), √2 (legs) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | 159 |
Diteral angles | Tes–cube–tope: 135° |
Tope–hip–tope: 120° | |
Tico–toe–tope: 90° | |
Tico–cube–tes: 90° | |
Height | 1 |
Central density | 1 |
Number of external pieces | 50 |
Level of complexity | 20 |
Related polytopes | |
Army | Ticope |
Regiment | Ticope |
Dual | Octakis icositetrachoric tegum |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | F4×A1, order 2304 |
Convex | Yes |
Nature | Tame |
The truncated icositetrachoric prism or ticope is a prismatic uniform polyteron that consists of 2 truncated icositetrachora, 24 truncated octahedral prisms, and 24 tesseracts. 1 truncated icositetrachoron, 1 tesseract, and 3 truncated octahedral prisms join at each vertex. As the name suggests, it is a prism based on the truncated icositetrachoron, which also makes it a convex segmentoteron.
This polyteron can be alternated into a snub disicositetrachoric antiprism, although it cannot be made uniform.
Vertex coordinates[edit | edit source]
The vertices of a truncated 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. "Ticope".