Edges 105 Symmetry group Cs | Vertices 55 | |
 | ||
Type Johnson
J78 - J79 - J80 Faces 3+6x2 triangles
3+11x2 squares
3+4x2 pentagons
1 decagon Vertex configuration 5x2(4.5.10)
10x2(3.4.5)
3+11x2(3.4.5.4) | ||
In geometry, the bigyrate diminished rhombicosidodecahedron is one of the Johnson solids (J79). It can be constructed as a rhombicosidodecahedron with two pentagonal cupolae rotated through 36 degrees, and a third pentagonal cupola removed. (None of the cupolae can be adjacent.)
A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.
References
Bigyrate diminished rhombicosidodecahedron Wikipedia(Text) CC BY-SA