# The Octahedron

A polyhedron bounded by eight equilateral triangles; four meeting at each vertex.

The octahedron is one of the five platonic solids. It is also a truncated form of the tetrahedron.

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

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

Edge ratios:

- `e/r = sqrt(6)`
- `e/rho = 2`
- `e/R = sqrt(2)`

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