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In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces. The snub dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are pentagons and the other 80 are equilateral triangles .
3D model of a great snub icosidodecahedron. In geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U 57. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices. [1] It can be represented by a Schläfli symbol sr{5 ⁄ 2,3}, and Coxeter-Dynkin diagram.
Snub icosidodecahedron Two chiral copies of the snub cube, as alternated (red or green) vertices of the truncated cuboctahedron. A snub cube can be constructed from a rhombicuboctahedron by rotating the 6 blue square faces until the 12 white square faces become pairs of equilateral triangle faces.
In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U 46. It has 104 faces (80 triangles , 12 pentagons , and 12 pentagrams ), 180 edges, and 60 vertices. [ 1 ]
Snub is a construction process of ... of the same size. They are the cuboctahedron, truncated octahedron, truncated cube, rhombicuboctahedron, icosidodecahedron ...
Snub polyhedra have Wythoff symbol | p q r and by extension, vertex configuration 3.p.3.q.3.r.Retrosnub polyhedra (a subset of the snub polyhedron, containing the great icosahedron, small retrosnub icosicosidodecahedron, and great retrosnub icosidodecahedron) still have this form of Wythoff symbol, but their vertex configurations are instead (..).
In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi-) triangular faces and twelve (dodeca-) pentagonal faces. An icosidodecahedron has 30 identical vertices , with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon.
3D model of a great retrosnub icosidodecahedron. In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U 74. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices. [1] It is given a Schläfli symbol sr{3 ⁄ 2, 5 ⁄ 3}.