Small hexadecadisoctachoron
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| Small hexadecadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Scaliform |
| Notation | |
| Bowers style acronym | Shado |
| Elements | |
| Cells | 16 tet 8 cube 8 tepcu |
| Faces | 64 triangles 16+32 squares 16 octagons |
| Edges | 128 3-fold 32 4-fold |
| Vertices | 64 |
| Vertex figure | Skew crossed trapezoidal pyramid |
| Measures (edge length 1) | |
| Circumradius | √(3+√2)/2 ≈ 1.48563 |
| Central density | 1 |
| Related polytopes | |
| Army | Sidpith |
| Regiment | Sidpith subregiment |
| Conjugate | Great hexadecadisoctachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | B2≀S2, order 128 |
| Convex | No |
| Nature | Tame |
The small hexadecadisoctachoron or shado is a scaliform polychoron that consists of 16 tetrahedra, 8 cubes, and 8 tetrapod-cut rhombicuboctahedra. 1 tetrahedron, 1 cube, and 3 tetrapod-cut rhombicuboctahedra meet at each vertex.
It can be formed as a blend of a small tesseractitesseractihexadecachoron and an octagonal diorthoprism.
This polychoron is in a subregiment of sidpith, as it has its vertices and some but not all of its edges.
External links[edit | edit source]
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S12).