In geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U57. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices. It can be represented by a Schläfli symbol sr{5⁄2,3}, and Coxeter-Dynkin diagram . This polyhedron is the snub member of a family that includes the great icosahe… WebThe Dodecahedron – 6480°. The dodecahedron is the most elusive Platonic solid. It has: 12 regular pentagonal faces. 30 edges. 20 corners. There are 160 diagonals of the dodecahedron. 60 of these are face diagonals. 100 are space diagonals (a line connecting two vertices that are not on the same face).
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WebIn 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. It also … WebGreat Inverted Snub Icosidodecahedron. The uniform polyhedron whose dual is the great inverted pentagonal hexecontahedron. It has Wythoff symbol . Its faces are . For unit edge length, it has circumradius. and is … green bay bobblehead
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WebThe great snub icosidodecahedron or gosid is a uniform polyhedron. It consists of 60 snub triangles, 20 additional triangles, and 12 pentagrams. Four triangles and one pentagram meeting at each vertex. Measures [edit edit source] The circumradius R ≈ 0.81608 of the great snub icosidodecahedron with unit edge length is the second to … In geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a uniform star polyhedron, indexed as U69. It is given a Schläfli symbol sr{5⁄3,3}, and Coxeter-Dynkin diagram . In the book Polyhedron Models by Magnus Wenninger, the polyhedron is misnamed … See more Cartesian coordinates for the vertices of a great inverted snub icosidodecahedron are all the even permutations of (±2α, ±2, ±2β), (±(α−βτ−1/τ), ±(α/τ+β−τ), ±(−ατ−β/τ−1)), (±(ατ−β/τ+1), ±(−α−βτ+1/τ), ±(−α/τ+β+τ)), … See more • List of uniform polyhedra • Great snub icosidodecahedron • Great retrosnub icosidodecahedron See more • Weisstein, Eric W. "Great inverted pentagonal hexecontahedron". MathWorld. • Weisstein, Eric W. "Great inverted snub icosidodecahedron". MathWorld. See more WebJSTOR is a digital library of academic journals, books, and primary sources. green bay bobcats hockey