Great ditrigonal dodecicosidodecahedron

In geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42.

Great ditrigonal dodecicosidodecahedron
TypeUniform star polyhedron
ElementsF = 44, E = 120
V = 60 (χ = 16)
Faces by sides20{3}+12{5}+12{10/3}
Wythoff symbol3 5 | 5/3
5/4 3/2 | 5/3
Symmetry groupIh, [5,3], *532
Index referencesU42, C54, W81
Dual polyhedronGreat ditrigonal dodecacronic hexecontahedron
Vertex figure
Bowers acronymGidditdid

It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great icosicosidodecahedron (having the triangular and pentagonal faces in common) and the great dodecicosahedron (having the decagrammic faces in common).

Truncated dodecahedron

Great icosicosidodecahedron

Great ditrigonal dodecicosidodecahedron

Great dodecicosahedron

See also

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