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|Bowers style acronym||Gaco|
|Cells||16 cubes |
8 blends of 2 octagrammic prisms
|Faces||32+64 squares |
|Edges||128 3-fold |
|Vertex figure||Butterfly pyramid, edge lengths √2, √2-√2, √2, √2-√2 (base), √2 (legs)|
|Measures (edge length 1)|
|Symmetry||B2≀S2, order 128|
The great cuboctachoron or gaco is a scaliform polychoron that consists of 16 cubes and 8 blends of 2 octagrammic prisms. Two cubes and three blends of 2 octagrammic prisms meet at each vertex.
It can be formed as a blend of a great spinoprismatotesseractioctachoron and an octagrammic diorthoprism.
It has the same vertex figure as the great rhombihexahedral prism; the equilateral triangles still correspond to cubes, but the butterfly corresponds instead to a great rhombihexahedron and the isosceles triangles to octagrammic prisms.
This polychoron is in a subregiment of gittith, as it has its vertices and some but not all of its edges.
External links[edit | edit source]
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S20).