More Solids

There are only five equiangular, equilateral polyhedra possible in 3-dimensional space.
However, by varying the angles and edge lengths of the faces, many more irregular polyhedra are possible,
and consequently many more beautiful symmetries. Here are only a few:

Buckminster Fullerene	Cuboctahedron	Decahedron	Echidnahedron
Great Stellated Dodecahedron	Octahemioctahedron	Ododecadodecahedron	Pentakis Dodecahedron
Rhombic Dodecahedron	Rhombic Triacontahedron	Small Ditragonal Icosidodecahedron	Small Stellated Dodecahedron
Trapezoidal Hexacontahedron	Trapezoidal Icositetrahedron	Truncated Cube	Truncated Octahedron