Solids with full icosahedral symmetry
Platonic solids - regular polyhedra (all faces of the same type)
Archimedean solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes. They are the convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed ...
s - 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 solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes. They are the convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed ...
s:
Catalan solids:
Chiral nonconvex uniform polyhedra
{, class=wikitable
,
,
,
,
,
,
,
See also
* ''
The Fifty Nine Icosahedra
''The Fifty-Nine Icosahedra'' is a book written and illustrated by H. S. M. Coxeter, P. Du Val, H. T. Flather and J. F. Petrie. It enumerates certain stellations of the regular convex or Platonic icosahedron, according to a set of rules put for ...
''
Rotational symmetry