Parabidiminished rhombicosidodecahedron
Encyclopedia
In geometry
, the parabidiminished rhombicosidodecahedron is one of the
Johnson solid
s (J80).
It can be constructed as a rhombicosidodecahedron
with two opposing pentagonal cupola
removed.
Related Johnson solids are
the diminished rhombicosidodecahedron
(J76) where one cupola is removed,
the metabidiminished rhombicosidodecahedron
(J81) where two non-opposing cupolae are removed and
the tridiminished rhombicosidodecahedron
(J83) where three cupolae are removed.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the parabidiminished rhombicosidodecahedron is one of the
Johnson solid
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron, each face of which is a regular polygon, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. There is no requirement that each face must be the same polygon, or that the same polygons join around...
s (J80).
It can be constructed as a rhombicosidodecahedron
Rhombicosidodecahedron
In geometry, the rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces....
with two opposing pentagonal cupola
Pentagonal cupola
In geometry, the pentagonal cupola is one of the Johnson solids . It can be obtained as a slice of the rhombicosidodecahedron.The 92 Johnson solids were named and described by Norman Johnson in 1966....
removed.
Related Johnson solids are
the diminished rhombicosidodecahedron
Diminished rhombicosidodecahedron
In geometry, the diminished rhombicosidodecahedron is one of theJohnson solids .It can be constructed as a rhombicosidodecahedron with one pentagonal cupola removed.The 92 Johnson solids were named and described by Norman Johnson in 1966....
(J76) where one cupola is removed,
the metabidiminished rhombicosidodecahedron
Metabidiminished rhombicosidodecahedron
In geometry, the metabidiminished rhombicosidodecahedron is one of theJohnson solids .It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae removed.Related Johnson solids are...
(J81) where two non-opposing cupolae are removed and
the tridiminished rhombicosidodecahedron
Tridiminished rhombicosidodecahedron
In geometry, the tridiminished rhombicosidodecahedron is one of theJohnson solids .It can be constructed as a rhombicosidodecahedron with three pentagonal cupola removed.Related Johnson solids are:...
(J83) where three cupolae are removed.
The 92 Johnson solids were named and described by Norman Johnson in 1966.