Chasmic cuboctachoron
| Chasmic cuboctachoron | |
|---|---|
| Rank | 4 |
| Type | Scaliform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Caco |
| Elements | |
| Cells | 16 cubes, 8 blends of 2 octagonal prisms |
| Faces | 32+64 squares, 16 octagons |
| Edges | 32+128 |
| Vertices | 64 |
| Vertex figure | Butterfly pyramid, edge lengths √2, √2+√2, √2, √2+√2 (base), √2 (legs) |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Sidpith |
| Regiment | Sidpith subregiment |
| Conjugate | Great cuboctachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | B2≀S2, order 128 |
| Convex | No |
| Nature | Tame |
The chasmic cuboctachoron or caco is a scaliform polychoron that consists of 16 cubes and 8 blends of 2 octagonal prisms. Two cubes and three blends of 2 octagonal prisms meet at each vertex.
It can be formed as a blend of a small spinoprismatotesseractioctachoron and an octagonal diorthoprism (a compound of 2 square-octagonal duoprisms). It is also a blend of four such duoprisms, with pairs of octagonal prism cells themselves blending.
It has the same vertex figure as the small rhombihexahedral prism; the equilateral triangles still correspond to cubes, but the butterfly corresponds instead to a small rhombihexahedron and the isosceles triangles to octagonal prisms.
This polychoron is in a subregiment of the small disprismatotesseractihexadecachoron, as it has its vertices but not all of its edges (specifically, it is missing one class of 32 edges).
External links[edit | edit source]
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S14).