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Great ditrigonal dodecicosidodecahedron
Polyhedron with 44 faces / From Wikipedia, the free encyclopedia
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.
Great ditrigonal dodecicosidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 44, E = 120 V = 60 (Ļ = ā16) |
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 |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Great_ditrigonal_dodecicosidodecahedron.stl/640px-Great_ditrigonal_dodecicosidodecahedron.stl.png)