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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 Rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices , and 120 edges .
Metabidiminished rhombicosidodecahedron; Metabigyrate rhombicosidodecahedron; Metagyrate diminished rhombicosidodecahedron; Parabiaugmented dodecahedron; Parabiaugmented hexagonal prism; Parabiaugmented truncated dodecahedron; Parabidiminished rhombicosidodecahedron; Parabigyrate rhombicosidodecahedron; Paragyrate diminished rhombicosidodecahedron
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 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 metabigyrate rhombicosidodecahedron (J 74) where two non-opposing cupolae are rotated; And the trigyrate rhombicosidodecahedron (J 75) where three cupolae are rotated.
In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (J 76).It can be constructed as a rhombicosidodecahedron with one pentagonal cupola removed.. 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.