# The Truncated Octahedron

A semi-regular polyhedron with two hexagons and a square meeting at each vertex.

The truncated icosahedron is one of the thirteen archimedian solids. It is also the unit cell for face centred cubic (FCC) packing. It can be created by slicing suitable sections off the vertices of either a cube or an octahedron and thus may be inscribed in either solid.

 VertexSymbol WythoffSymbol No. ofVertices No. ofEdges {4}Faces {6}Faces SymmetryGroup Dual Polyhedron 4.6.6 2 4 | 3 24 36 6 8 S4×C2 Tetrakis Hexahedron

Edge ratios:

• e/rho = 2/3
• e/R = sqrt(10)/5
• e/(e_6) = sqrt(2)/4
• e/(e_8) = 1/3

where e is the edge length, rho is the inter-radius, R is the circum-radius, e_6 is the edge of the circumscribing cube, and e_8 is the edge of the circumscribing octahedron.