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Great snub dodecicosidodecahedron information


Great snub dodecicosidodecahedron
Type Uniform star polyhedron
Elements F = 104, E = 180
V = 60 (χ = −16)
Faces by sides (20+60){3}+(12+12){5/2}
Coxeter diagram
Wythoff symbol | 5/3 5/2 3
Symmetry group I, [5,3]+, 532
Index references U64, C80, W115
Dual polyhedron Great hexagonal hexecontahedron
Vertex figure
3.3.3.5/2.3.5/3
Bowers acronym Gisdid
3D model of a great snub dodecicosidodecahedron

In geometry, the great snub dodecicosidodecahedron (or great snub dodekicosidodecahedron) is a nonconvex uniform polyhedron, indexed as U64. It has 104 faces (80 triangles and 24 pentagrams), 180 edges, and 60 vertices.[1] It has Coxeter diagram . It has the unusual feature that its 24 pentagram faces occur in 12 coplanar pairs.

  1. ^ Maeder, Roman. "64: great snub dodecicosidodecahedron". MathConsult.

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5/3 3 | 5 5/2 3/2 | 5 - 3.10.5/3.10 W82, U43, K48, C55 Great ditrigonal dodecicosidodecahedron Gidditdid V 60,E 120,F 44=20{3}+12{5}+12{10/3} χ=−16, group=Ih...

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