# The Cube

A polyhedron bounded by six squares; three meeting at each vertex.

The cube is one of the five platonic solids.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
{4} Faces |
Symmetry Group |
Dual Polyhedron |

4^{3} |
3 | 2 4 | 8 | 12 | 6 | S_{4}×C_{2} |
Octahedron |

Edge ratios:

- `e/r = 2`
- `e/rho = sqrt(2)`
- `e/R = 2/sqrt(3)`

where `e` is the edge length, `r` is the in-radius, `rho` is the inter-radius, and `R` is the circum-radius.