Snub polyhedron

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.

Nonuniform snubs

Two of the Johnson solids are also called snubs: the snub disphenoid (symmetry group D2d) and the snub square antiprism (symmetry group D4d). Each is formed by splitting a polyhedron in two (along existing edges) and filling the gap with triangles. Neither is chiral.


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