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.
Chiral Archimedean and Catalan solids.
Archimedean solids:
Catalan solids: