Small cubiprismatotesseractioctachoron
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| Small cubiprismatotesseractioctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Scaliform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Scapto |
| Elements | |
| Cells | 32 trip 8+16 cube 8 tepcu |
| Faces | 64 triangles 16+32+32+64 squares 16 octagons |
| Edges | 32+32 4-fold 64+64 5-fold |
| Vertices | 64 |
| Vertex figure | Faceting of triangular antipodium |
| Measures (edge length 1) | |
| Circumradius | √(3+√2)/2 ≈ 1.48563 |
| Related polytopes | |
| Army | Sidpith |
| Regiment | Sidpith |
| Conjugate | Great cubiprismatotesseractioctachoron |
| Abstract & topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | B2≀S2, order 128 |
| Convex | No |
| Nature | Wild |
The small cubiprismatotesseractioctachoron or scapto is a scaliform polychoron that consists of 32 triangular prisms, 8+16 cubes, and 8 tetrapod-cut rhombicuboctahedra. 3 triangular prisms, 3 cubes, and 3 tetrapod-cut rhombicuboctahedra meet at each vertex.
It can be formed as a blend of a disprismatotesseract and an octagonal diorthoprism.
External links[edit | edit source]
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S13).