# The Snub Cube

A semi-regular polyhedron with four triangles and a square meeting at each vertex.

The snub cube is one of the thirteen archimedian solids. The square faces lie on the surface of the circumscribing cube, and eight of the triangular faces lie on the circumscribing octahedron.

 VertexSymbol WythoffSymbol No. ofVertices No. ofEdges {3}Faces {4}Faces SymmetryGroup Dual Polyhedron 3.3.3.3.4 | 2 3 4 24 60 8+24 6 S4 PentagonalIcositetrahedron

Edge ratios:

• e/rho = 0.80178
• e/R = 0.74421
• e/(e_6) = 0.43759
• e/(e_8) = 0.366

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.