Metagyrate diminished rhombicosidodecahedron

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Metagyrate diminished rhombicosidodecahedron
Metagyrate diminished rhombicosidodecahedron.png
TypeJohnson
J77 - J78 - J79
Faces3+6x2 triangles
3+11x2 squares
3+4x2 pentagons
1 decagon
Edges105
Vertices55
Vertex configuration5x2(4.5.10)
5x2(3.42.5)
3+16x2(3.4.5.4)
Symmetry groupCs
Dual polyhedron-
Propertiesconvex
Net
Johnson solid 78 net.png

In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids (J78). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot 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[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.