Gyrate rhombicosidodecahedron
Encyclopedia
In geometry
, the gyrate rhombicosidodecahedron is one of the
Johnson solid
s (J72).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
with one pentagonal cupola
rotated through 36 degrees. They have the same faces around each vertex, but vertex configuration
s along the rotation become a different order, 3.4.4.5.
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 gyrate 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 (J72).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Related polyhedron
It can be constructed as a rhombicosidodecahedronRhombicosidodecahedron
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 one 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....
rotated through 36 degrees. They have the same faces around each vertex, but vertex configuration
Vertex configuration
In geometry, a vertex configuration is a short-hand notation for representing the vertex figure of a polyhedron or tiling as the sequence of faces around a vertex. For uniform polyhedra there is only one vertex type and therefore the vertex configuration fully defines the polyhedron...
s along the rotation become a different order, 3.4.4.5.
 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.... |
Gyrate rhombicosidodecahedron |