Snubcubes_in_grCO.png|320px|thumb| Two snub cubes from great rhombicuboctahedron

See that red and green dots are placed at alternate vertices. A snub cube is generated from deleting either set of vertices, one resulting in clockwise gyrated squares, and other counterclockwise.]]

A snub is an operation on a polyhedron which fully truncates alternate vertices. Only zonohedra can have this operation performed so every 2n-sided face becomes n-sided.

A snubbed regular polyhedron is generated in two steps. First a {p,q} regular polyhedron is omnitruncated. This creates a vertex configuration 4.2p.2q. Then this form is snubbed. The squares become degenerated into edges, and new triangle faces form at each original vertex, creating vertex configuration 3.3.p.3.q.

A snub operations has two choices of vertices and so for some polyhedra, it can create two chiral forms.

Non-uniform zonohedra can also snubbed. For instance, the Rhombic triacontahedron can be snubbed into either an icosahedron or a dodecahedron depending on which vertices are rectified.

Examples

Platonic solid generators

Three steps: regular --> omnitruncated --> snubbed

Regular tiling generators

Uniform prism generators (dihedral symmetry)

Two steps: 2n-gonal prisms --> n-gonal antiprism.

1. • cube --> tetrahedron --> tetrahedron.png
2. hexagonal prism --> octahedron --> trigonal antiprism.png
3. octagonal prism --> square antiprism --> square antiprism.png
4. decagonal prism --> pentagonal antiprism --> pentagonal antiprism.png
5. ....