Diminished rhombicosidodecahedron

Updated on Jan 12, 2024

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Edges 105 Symmetry group C5v		Vertices 55

Type Johnson J75 - J76 - J77 Faces 3x5 triangles 3x5+10 squares 1+2x5 pentagons 1 decagon Vertex configuration 10(4.5.10) 3x5+3x10(3.4.5.4)

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.

Related Johnson solids are:

J₈₀: parabidiminished rhombicosidodecahedron with two opposing cupolae removed, and

J₈₁: metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed, and

J₈₃: tridiminished rhombicosidodecahedron with three cupola removed.

References

Diminished rhombicosidodecahedron Wikipedia

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