Small rotational 8-3 double step prism
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| Small rotational 8-3 double step prism | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 16+16 irregular tetrahedra, 8+8+8+16 phyllic disphenoids |
| Faces | 16+16+16+16+16+16+16 scalene triangles, 16 isosceles triangles, 16 triangles |
| Edges | 8+8+8+16+16+16+16 |
| Vertices | 16 |
| Vertex figure | 11-vertex polyhedron with 18 triangular faces |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small rotational 8-3 bigyrochoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(8)+-3)×2, order 16 |
| Convex | Yes |
| Nature | Tame |
The small rotational 8-3 double step prism is a convex isogonal polychoron that consists of 24 phyllic disphenoids of three kinds and 48 irregular tetrahedra of three kinds. 10 phyllic disphenoids and 8 irregular tetrahedra join at each vertex. It can be obtained as one of several polychora formed as the convex hull of two orthogonal 8-3 step prisms.
This polychoron cannot be optimized using the ratio method, because the solutions lead to degenerate polytopes or the tesseract instead.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".