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.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{3}
Faces
{4}
Faces
Symmetry
Group
Dual Polyhedron
3.3.3.3.4 | 2 3 4 24 60 8+24 6 S4 Pentagonal
Icositetrahedron
Edge
Inter-Radius
= 0.80178   Edge
Circum-Radius
= 0.74421
Edge
Cubic Edge
= 0.43759   Edge
Octahedral Edge
= 0.366