# The Great Cubicuboctahedron

A non-convex semi-regular polyhedron.

The great cubicuboctahedron is one of the stellated archimedians.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{8/3} Faces |
{3} Faces |
{4} Faces |
Symmetry Group |

8/3.3.8/3.4 | 3 4 | 4/3 | 24 | 48 | 6 | 8 | 6 | S_{4}×C_{2} |

Edge ratios:

- `e/rho = sqrt(2+sqrt(2))`
- `e/R = 2 sqrt( (5+2sqrt(2))/(17) )`
- `e/e_(6)^(-) = 1+sqrt(2)`
- `e/e_(6)^(+) = 1`
- `e/e_(8) = (2+3sqrt(2))/7`

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_(6)^-` is the edge of the inner cube, `e_(6)^+` is the edge of the outer cube, and `e_(8)` is the edge of the inner octahedron.