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 |
| 34 | 4 | 2 3 | 6 | 12 | 8 | S4×C2 | 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.