A snub is a related operation. It is an alternation applied to an omnitruncated regular polyhedron. An omnitruncated regular polyhedron or tiling always has even-sided faces and so can always be alternated.
For instance, the snub cube is created in two steps. First, it is omnitruncated, creating the great rhombicuboctahedron. Secondly, that polyhedron is alternated into a snub cube. You can see from the picture on the right that there are two ways to alternate the vertices, and they are mirror images of each other, creating two chiral forms.
Another example is the uniform antiprisms. A uniform n-gonal antiprism can be constructed as an alternation of a 2n-gonal prism, and the snub of an n-edge hosohedron. In the case of prisms both alternated forms are identical.
Zonohedra can also be alternated. For instance, the rhombic triacontahedron can be snubbed into either an icosahedron or a dodecahedron depending on which vertices are removed.
Read more about this topic: Alternation (geometry)
Famous quotes containing the word snub:
“Odysseus saw the sirens; they were charming,
Blonde, with snub breasts and little neat posteriors,”
—John Streeter Manifold (b. 1915)