Snub-disphenoidal 8-3 quadruple step prism
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| Snub-disphenoidal 8-3 quadruple step prism | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 16+16 phyllic disphenoids, 16 digonal-rectangular gyrowedges, 8 snub disphenoids |
| Faces | 32+32+32+32+32 scalene triangles, 8 rectangles |
| Edges | 16+16+16+16+16+32+32 |
| Vertices | 32 |
| Vertex figure | 9-vertex polyhedron |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Elongatogyrobifastigium intersected 8-3 quadrigyrochoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(8)+×4×I, order 32 |
| Convex | Yes |
| Nature | Tame |
The snub-disphenoidal 8-3 quadruple step prism is a convex isogonal polychoron, formed as a convex hull of four 8-3 step prisms in a way that leaves eight corealmic vertices corresponding to a snub disphenoid. It consists of 8 snub disphenoids, 16 digonal-rectangular gyrowedges, and 32 phyllic disphenoids of two kinds. 2 snub disphenoids,3 digonal-rectangular gyrowedges, and 4 phyllic disphenoids join at each vertex.
It can be constructed as a subsymmetrical faceting of the tesseractihexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".