In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. It has 32 faces (20 triangles and 12 pentagrams), 60 edges, and 30 vertices.[1] It is given a Schläfli symbol r{3,5⁄2}. It is the rectification of the great stellated dodecahedron and the great icosahedron. It was discovered independently by Hess (1878), Badoureau (1881) and Pitsch (1882).
^Maeder, Roman. "54: great icosidodecahedron". MathConsult.
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In geometry, the greaticosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. It has 32 faces (20 triangles and 12 pentagrams), 60 edges...
geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces. An icosidodecahedron has 30 identical...
In geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U57. It has 92 faces (80 triangles and 12 pentagrams), 150...
applied to the great icosahedron, produces a sequence of uniform polyhedra. Truncating edges down to points produces the greaticosidodecahedron as a rectified...
compounds of great icosahedron and great stellated dodecahedron: one is a dual compound and a stellation of the greaticosidodecahedron, the other is...
to the great stellated dodecahedron produces a series of uniform polyhedra. Truncating edges down to points produces the greaticosidodecahedron as a rectified...
In geometry, the great truncated icosidodecahedron (or great quasitruncated icosidodecahedron or stellatruncated icosidodecahedron) is a nonconvex uniform...
A regular ten-pointed {10/3} decagram is the hemi-face of the greaticosidodecahedron, as well as the Petrie polygon of two regular Kepler–Poinsot polyhedra...
In geometry, a truncated icosidodecahedron, rhombitruncated icosidodecahedron, great rhombicosidodecahedron, omnitruncated dodecahedron or omnitruncated...
stellation of icosidodecahedron Ih 59 Thirteenth stellation of icosidodecahedron Ih 60 Fourteenth stellation of icosidodecahedron Ih 61 Compound of great stellated...
name may refer to: Truncated icosidodecahedron - An Archimedean solid, with Schläfli symbol t0,1,2{5,3}. Nonconvex great rhombicosidodecahedron - a nonconvex...
In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74. It...
In geometry, the great ditrigonal icosidodecahedron (or great ditrigonary icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U47. It has...
the icosidodecahedron. It also shares its edge arrangement with the greaticosidodecahedron (having the pentagrammic faces in common) and the great icosihemidodecahedron...
In geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a uniform star polyhedron, indexed as U69. It is given...
incidence diffraction, use of X-rays etc. to analyse surfaces Greaticosidodecahedron, a geometrical figure Group identifier, on Unix-like systems Gide...
geometry, the great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron. It is the dual of the greaticosidodecahedron (U54). Like the...
are the small complex icosidodecahedron (compound of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated...
Kepler–Poinsot solids, in the same way as for the convex examples: the greaticosidodecahedron { 3 5 / 2 } {\displaystyle {\begin{Bmatrix}3\\5/2\end{Bmatrix}}}...
In geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces...
pairs. (Coxeter et al. 1954, pp. 423, 425, 426; Skilling 1975, p. 123) The great disnub dirhombidodecahedron has 240 of its 360 edges coinciding in space...
stellated dodecahedron Icosidodecahedron Compound of great icosahedron and great stellated dodecahedron Greaticosidodecahedron Compound of dodecahedron...
(edge-transitive). Quasiregular polyhedra, like the cuboctahedron and the icosidodecahedron, are isogonal and isotoxal, but not isohedral. Their duals, including...
In geometry, the great complex icosidodecahedron is a degenerate uniform star polyhedron. It has 12 vertices, and 60 (doubled) edges, and 32 faces, 12...
In geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42. It...
convex great rhombicosidodecahedron, also known as the truncated icosidodecahedron. Cartesian coordinates for the vertices of a nonconvex great rhombicosidodecahedron...
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