Trigyrate rhombicosidodecahedron

In geometry, the trigyrate rhombicosidodecahedron is one of the Johnson solids (). It contains 20 triangles, 30 squares and 12 pentagons. It is also a canonical polyhedron.

It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae rotated through 36 degrees. Related Johnson solids are:

• The gyrate rhombicosidodecahedron () where one cupola is rotated;
• The parabigyrate rhombicosidodecahedron () where two opposing cupolae are rotated;
• And the metabigyrate rhombicosidodecahedron () where two non-opposing cupolae are rotated.

References

• The first proof that there are only 92 Johnson solids.

External links