Snub Polyhedron

A snub polyhedron is a polyhedron obtained by adding extra triangles around each vertex.

Chiral snub polyhedra do not have reflection symmetry and hence have two enantiomorphous forms which are reflections of each other. Their symmetry groups are all point groups and are one of:

• O - chiral octahedral symmetry;the rotation group of the cube and octahedron; order 24.
• I - chiral icosahedral symmetry; the rotation group of the icosahedron and the dodecahedron; order 60.

For example, the snub cube:

Snub polyhedra have Wythoff symbol | p q r and by extension, vertex configuration 3.p.3.q.3.r.