Small cupolic cubitesseractihexadecachoron
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| Small cupolic cubitesseractihexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Scaliform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Scucoth |
| Elements | |
| Cells | 16 tet 8+16 cube 16 squacu (as 8 compounds of 2) |
| Faces | 64 triangles 16+32+64 squares 8 octagons |
| Edges | 32+64 3-fold 64 4-fold 32 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 cupolic cubitesseractihexadecachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | B2≀S2, order 128 |
| Convex | No |
| Nature | Wild |
The small cupolic cubitesseractihexadecachoron or scucoth is a scaliform polychoron that consists of 16 tetrahedra, 8+16 cubes, and 16 square cupolas which are in pairs that are a blend of a rhombicuboctahedron with an octagonal prism. 1 tetrahedron, 3 cubes, and 3 square cupolas meet each vertex.
It can be formed as a blend of a small tesseractifaceted cubitesseractihexadecachoron and an octagonal diorthoprism.
External links[edit | edit source]
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S10).