Small spinoprismatotesseractioctachoron
Jump to navigation
Jump to search
| Small spinoprismatotesseractioctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Snipto |
| Elements | |
| Cells | 8+24 cubes, 8 small rhombihexahedra |
| Faces | 48+96 squares, 24 octagons |
| Edges | 96+96 |
| Vertices | 64 |
| Vertex figure | Triangular crown, edge lengths √2 (top triangles and side edges of triangles) and √2+√2 (edges between butterflies) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Cube–4–cube: 135° |
| Sroh–8–sroh: 90° | |
| Sroh–4–cube: 90° | |
| Number of external pieces | 128 |
| Level of complexity | 13 13 |
| Related polytopes | |
| Army | Sidpith |
| Regiment | Sidpith |
| Conjugate | Great spinoprismatotesseractioctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Wild |
The small spinoprismatotesseractioctachoron, or snipto, is a nonconvex uniform polychoron that consists of 8+24 cubes and 8 small rhombihexahedra. Four cubes and three small rhombihexahedra join at each vertex.
It can be constructed as a blend of six square-octagonal duoprisms. In the process some of the cubes blend out, while the octagonal prisms blend into small rhombihexahedra.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small disprismatotesseractihexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 11: Antipodiumverts" (#453).