# The Cuboctatruncated Cuboctahedron

A non-convex semi-regular polyhedron.

The Cuboctatruncated Cuboctahedron is one of the stellated archimedians.

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

8/3.6.8 | 3 4/3 4 | | 48 | 72 | 6 | 8 | 6 | S_{4}×C_{2} |

Edge ratios:

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

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.