The expanded icosidodecahedron is a polyhedron, constructed as an expanded icosidodecahedron. It has 122 faces: 20 triangles, 60 squares, 12 pentagons, and 30 rhombs. The 120 vertices exist at two sets of 60, with a slightly different distance from its center.
It can also be constructed as a rectified rhombicosidodecahedron.
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The expandedicosidodecahedron is a polyhedron, constructed as an expandedicosidodecahedron. It has 122 faces: 20 triangles, 60 squares, 12 pentagons...
operations from the icosidodecahedron. A further alternation step leads to the snub rhombicosidodecahedron. Expandedicosidodecahedron Truncated rhombicuboctahedron...
creates the uniform solid (center), and the rectification of the dual icosidodecahedron (right), which is the core of the dual compound. For a rhombicosidodecahedron...
typically consists of six great circles corresponding to the edges of an icosidodecahedron. The Hoberman sphere can be unfolded by allowing certain members to...
11. Rhombicuboctahedron (expanded cube) Expandedicosidodecahedron Truncated rhombicuboctahedron A Dissection of the Expanded Rhombic Dodecahedron "Uniform...
geometry, the great truncated icosidodecahedron (or great quasitruncated icosidodecahedron or stellatruncated icosidodecahedron) is a nonconvex uniform polyhedron...
In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. It has 32 faces (20 triangles and 12 pentagrams), 60 edges...
In geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a uniform star polyhedron, indexed as U69. It is given...
24 edges, is locally linear, and is a quartic Archimedean graph. Icosidodecahedron Pseudocuboctahedron Rhombicuboctahedron Truncated cuboctahedron Tetradecahedron...
compound and a stellation of the great icosidodecahedron, the other is a stellation of the icosidodecahedron. It can be seen as a polyhedron compound...
icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U45. Its convex hull is a nonuniform truncated icosidodecahedron. Cartesian...
the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42. It has 44 faces...
In geometry, the small icosicosidodecahedron (or small icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U31. It has 52 faces...
In geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces...
In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74. It...
pentagonal orthobirotunda is also related to an Archimedean solid, the icosidodecahedron, which can also be called a pentagonal gyrobirotunda, similarly created...
sC = sO icosidodecahedron aD = aI truncated dodecahedron tD truncated icosahedron tI rhombicosidodecahedron eD = eI truncated icosidodecahedron bD = bI...
its edge arrangement with the small ditrigonal icosidodecahedron, the great ditrigonal icosidodecahedron, and the ditrigonal dodecadodecahedron. With these...
tetrahedra, the compound of ten tetrahedra, rhombic triacontahedron, icosidodecahedron, truncated icosahedron, truncated dodecahedron, and rhombicosidodecahedron...
In geometry, the great ditrigonal icosidodecahedron (or great ditrigonary icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U47. It has...
In geometry, the elongated pentagonal gyrobirotunda or elongated icosidodecahedron is one of the Johnson solids (J43). As the name suggests, it can be...
it has the second largest number of vertices, after the truncated icosidodecahedron, which has 120 vertices. Using the Icosahedral symmetry of the Weyl...
the others being the five Platonic solids, the cuboctahedron, the icosidodecahedron, and the rhombic triacontahedron. The rhombic dodecahedron can be...
relates to the tetrahedron in the same way that the cuboctahedron and icosidodecahedron relate to the other Platonic solids. One can also divide the edges...
added in place of all the original edges. Its dual is the pentakis icosidodecahedron. It is also called a truncated rhombic triacontahedron, constructed...
Kepler–Poinsot polyhedra. A rectified regular dodecahedron forms an icosidodecahedron. The regular dodecahedron has icosahedral symmetry Ih, Coxeter group...
each point of intersection serving as a new center. The design can be expanded ad infinitum depending upon the number of times the odd-numbered points...
pentagons. This vertex configuration defines the vertex-transitive icosidodecahedron. The notation is cyclic and therefore is equivalent with different...