# 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.

 VertexSymbol WythoffSymbol No. ofVertices No. ofEdges No. ofFaces SymmetryGroup 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.