Paragyrate diminished rhombicosidodecahedron

Paragyrate diminished rhombicosidodecahedron
Type Johnson
J76 - J77 - J78
Faces 3x5 triangles
3x5+10 squares
1+2x5 pentagons
1 decagon
Edges 105
Vertices 55
Vertex configuration 10(4.5.10)
10(3.42.5)
3x5+2.10(3.4.5.4)
Symmetry group C5v
Dual polyhedron -
Properties convex
Net

In geometry, the paragyrate diminished rhombicosidodecahedron is one of the Johnson solids (J77).

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.