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Great ditrigonal dodecicosidodecahedron information


Great ditrigonal dodecicosidodecahedron
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 20{3}+12{5}+12{10/3}
Coxeter diagram
Wythoff symbol 3 5 | 5/3
5/4 3/2 | 5/3
Symmetry group Ih, [5,3], *532
Index references U42, C54, W81
Dual polyhedron Great ditrigonal dodecacronic hexecontahedron
Vertex figure
3.10/3.5.10/3
Bowers acronym Gidditdid
3D model of a great ditrigonal dodecicosidodecahedron

In geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42. It has 44 faces (20 triangles, 12 pentagons, and 12 decagrams), 120 edges, and 60 vertices.[1] Its vertex figure is an isosceles trapezoid.

  1. ^ Maeder, Roman. "42: great ditrigonal dodecicosidodecahedron". MathConsult.

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