In
geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids ().
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 two non-opposing
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 ...
e () removed.
Related Johnson solids are:
* The
diminished rhombicosidodecahedron
In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola
In geometry, the pentagonal cupola is one of the Johnson solids (). It can be ob ...
() where one cupola is removed,
* The
parabidiminished rhombicosidodecahedron
In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids (). It is also a canonical polyhedron.
It can be constructed as a rhombicosidodecahedron with two opposing pentagonal cupolae removed. Related Johnson soli ...
() where two opposing cupolae are removed,
* The
gyrate bidiminished rhombicosidodecahedron () where two non-opposing cupolae are removed and a third is rotated 36 degrees,
* And the
tridiminished rhombicosidodecahedron () where three cupolae are removed.
External links
*
Johnson solids
{{Polyhedron-stub