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.
|Bowers style acronym||Caco|
|Cells||16 cubes, 8 blends of 2 octagonal prisms|
|Faces||32+64 squares, 16 octagons|
|Vertex figure||Butterfly pyramid, edge lengths √2, √2+√2, √2, √2+√2 (base), √2 (legs)|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||B2≀S2, order 128|
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).
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S14).