Solids with icosahedral symmetry

Solids with full icosahedral symmetry

Platonic solids - regular polyhedra (all faces of the same type)

Archimedean solids - polyhedra with more than one polygon face type.

Catalan solids - duals of the Archimedean solids.

Platonic solids

Achiral Archimedean solids

Achiral Catalan solids

Kepler-Poinsot solids

Achiral nonconvex uniform polyhedra

Chiral Archimedean and Catalan solids

Archimedean solids:

Catalan solids:

Chiral nonconvex uniform polyhedra

Construction

Construction instructions for the following solids are available: Platonic solids, Archimedean solids, Achiral Catalan solids, Kepler–Poinsot solids, Achiral nonconvex uniform polyhedra, Chiral Archimedean and Catalan solids: Snub dodecahedron and Pentagonal hexecontahedron, and Chiral nonconvex uniform polyhedra.

See also

• The Fifty Nine Icosahedra

Citations

Works cited