Bigyrate diminished rhombicosidodecahedron

Bigyrate diminished rhombicosidodecahedron
Type Johnson
J78 - J79 - J80
Faces 3+6x2 triangles
3+11x2 squares
3+4x2 pentagons
1 decagon
Edges 105
Vertices 55
Vertex configuration 5x2(4.5.10)
10x2(3.42.5)
3+11x2(3.4.5.4)
Symmetry group Cs
Dual polyhedron -
Properties convex
Net

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.[1]

External links

  1. Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.
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