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In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J 72).It is also a canonical polyhedron.. A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms).
In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J 82). A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ).
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 faces, 12 regular pentagonal faces, 60 vertices , and 120 edges .
The criteria is also satisfied by eleven other Johnson solids, specifically the tridiminished icosahedron, parabidiminished rhombicosidodecahedron, tridiminished rhombicosidodecahedron, snub disphenoid, snub square antiprism, sphenocorona, sphenomegacorona, hebesphenomegacorona, disphenocingulum, bilunabirotunda, and triangular ...
In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J 81). A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ).
Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: The gyrate rhombicosidodecahedron (J 72) where only one cupola is rotated; The parabigyrate rhombicosidodecahedron (J 73) where two opposing cupolae are rotated; And the trigyrate rhombicosidodecahedron (J 75) where three cupolae are rotated.
Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: The gyrate rhombicosidodecahedron (J 72) where only one cupola is rotated; The metabigyrate rhombicosidodecahedron (J 74) where two non-opposing cupolae are rotated; And the trigyrate rhombicosidodecahedron (J 75) where three cupolae are rotated.
Metabidiminished rhombicosidodecahedron; Metabigyrate rhombicosidodecahedron; Metagyrate diminished rhombicosidodecahedron; Parabiaugmented dodecahedron; Parabiaugmented hexagonal prism; Parabiaugmented truncated dodecahedron; Parabidiminished rhombicosidodecahedron; Parabigyrate rhombicosidodecahedron; Paragyrate diminished rhombicosidodecahedron