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

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