Tridiminished rhombicosidodecahedron

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Tridiminished rhombicosidodecahedron
Tridiminished rhombicosidodecahedron.png
TypeJohnson
J82 - J83 - J84
Faces2+3 triangles
3x3+6 squares
3x3 pentagons
3 decagons
Edges75
Vertices45
Vertex configuration5x6(4.5.10)
3x3+6(3.4.5.4)
Symmetry groupC3v
Dual polyhedron-
PropertiesConvex
Net
Johnson solid 83 net.png

In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83). It can be constructed as a rhombicosidodecahedron with three pentagonal cupolae 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[edit]

  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.