Diminished rhombicosidodecahedron

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Diminished rhombicosidodecahedron
Diminished rhombicosidodecahedron.png
Type Johnson
J75 - J76 - J77
Faces 3x5 triangles
3x5+10 squares
1+2x5 pentagons
1 decagon
Edges 105
Vertices 55
Vertex configuration 10(4.5.10)
Symmetry group C5v
Dual polyhedron -
Properties convex
Johnson solid 76 net.png

In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (J76). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola removed.

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]

Related Johnson solids are:

External links

  • Eric W. Weisstein, Diminished rhombicosidodecahedron (Johnson solid) at MathWorld.
  • Editable printable net of a diminished rhombicosidodecahedron with interactive 3D view
  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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