Great ditrigonal dodecicosidodecahedron

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Great ditrigonal dodecicosidodecahedron
Great ditrigonal dodecicosidodecahedron
Type Uniform polyhedron
Elements F=44, E=120, V=60 (χ=-16)
Faces by sides 20{3}+12{5}+12{10/3}
Wythoff symbol 3 5 | 5/3
Symmetry group Ih
Index references U42, C54, W81
Great ditrigonal dodecicosidodecahedron
3.10/3.5.10/3
(Vertex figure)

Great ditrigonal dodecacronic hexecontahedron
(dual polyhedron)


In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.

It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edges with the great icosicosidodecahedron and the great dodecicosahedron.

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