# The Cuboctahedron

A semi-regular polyhedron with two squares and two triangles alternating around each vertex.

The cuboctahedron is one of the thirteen archimedian solids. 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 {3}Faces {4}Faces SymmetryGroup Dual Polyhedron 3.4.3.4 2 | 3 4 12 24 8 6 S4×C2 RhombicDodecahedron

Edge ratios:

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

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.