Bigyrate diminished rhombicosidodecahedron

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Bigyrate diminished rhombicosidodecahedron
Bigyrate diminished rhombicosidodecahedron.png
Type Johnson
J78J79J80
Faces 3+6×2 triangles
3+11×2 squares
3+4×2 pentagons
1 decagon
Edges 105
Vertices 55
Vertex configuration 5×2(4.5.10)
10×2(3.42.5)
3+11×2(3.4.5.4)
Symmetry group Cs
Dual polyhedron -
Properties convex
Net
Johnson solid 79 net.png

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 is composed of regular polygon faces but are not uniform polyhedra (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]

  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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