In
geometry, the diminished rhombicosidodecahedron is one of the
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron each face of which is a regular polygon. There is no requirement that isohedral, each face must be the same polygon, or that the same polygons join around each Vertex (geometry), ver ...
s (). It can be constructed as a
rhombicosidodecahedron
In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.
It has 20 regular triangular faces, 30 square (geometry), square face ...
with one
pentagonal cupola
In geometry, the pentagonal cupola is one of the Johnson solids (). It can be obtained as a slice of the rhombicosidodecahedron. The pentagonal cupola consists of 5 equilateral triangles, 5 squares, 1 pentagon, and 1 decagon.
Formulae
The fol ...
removed.
Related Johnson solids are:
* :
parabidiminished rhombicosidodecahedron with two opposing cupolae removed, and
* :
metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed, and
* :
tridiminished rhombicosidodecahedron with three cupola removed.
External links
*
Editable printable net of a diminished rhombicosidodecahedron with interactive 3D view{{Johnson solids navigator
Johnson solids