The name truncated icosidodecahedron, given originally by Johannes Kepler, is misleading.
An actual truncation of an icosidodecahedron has rectangles instead of squares.
This nonuniform polyhedron is topologically equivalent to the Archimedean solid.

Alternate interchangeable names are:
Truncated icosidodecahedron (Johannes Kepler)
Rhombitruncated icosidodecahedron (Magnus Wenninger)
Great rhombicosidodecahedron (Robert Williams, Peter Cromwell)
Omnitruncated dodecahedron or icosahedron (Norman Johnson)
The name great rhombicosidodecahedron refers to the relationship with the (small) rhombicosidodecahedron (compare section Dissection).


There is a nonconvex uniform polyhedron with a similar name, the nonconvex great rhombicosidodecahedron.
The name truncated icosidodecahedron, given originally by Johannes Kepler, is misleading. An actual truncation of an icosidodecahedron has rectangles instead of squares. This nonuniform polyhedron is topologically equivalent to the Archimedean solid.
Alternate interchangeable names are:
Truncated icosidodecahedron (Johannes Kepler)
Rhombitruncated icosidodecahedron (Magnus Wenninger)
Great rhombicosidodecahedron (Robert Williams, Peter Cromwell)
Omnitruncated dodecahedron or icosahedron (Norman Johnson)
The name great rhombicosidodecahedron refers to the relationship with the (small) rhombicosidodecahedron (compare section Dissection).

There is a nonconvex uniform polyhedron with a similar name, the nonconvex great rhombicosidodecahedron.
Truncated icosidodecahedron