# Gallery - icosidodecahedron

The larger the polyhedra get, the more equilateral embeddings. The examples below all correspond to the icosidodecahedron. Note again that embeddings exist with a symmetry that is not present in the classical equihedron.

It can be proved analytically that there are only four examples with (at least) T_{h} symmetry. The classical embedding and its conjugate have symmetry I_{h}. The other 2 belong to a set of six algebraic conjugates - the remaining 4 have coordinates in complex numbers. If we only assume *T* symmetry, there are even more solutions.