Great dodecicosidodecahedron

Great dodecicosidodecahedron
Great dodecicosidodecahedron.png
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 20{3}+12{5/2}+12{10/3}
Wythoff symbol 5/2 3 | 5/3
5/3 3/2 | 5/3
Symmetry group Ih, [5,3], *532
Index references U61, C77, W99
Dual polyhedron Great dodecacronic hexecontahedron
Vertex figure Great dodecicosidodecahedron vertfig.png
Bowers acronym Gaddid

In geometry, the great dodecicosidodecahedron (or great dodekicosidodecahedron) is a nonconvex uniform polyhedron, indexed as U61. It has 44 faces (20 triangles, 12 pentagrams and 12 decagrams), 120 edges and 60 vertices.[1]

3D model of a great dodecicosidodecahedron.

Related polyhedraEdit

It shares its vertex arrangement with the truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great rhombicosidodecahedron (having the triangular and pentagrammic faces in common), and with the great rhombidodecahedron (having the decagrammic faces in common).

Nonconvex great rhombicosidodecahedron
Great dodecicosidodecahedron
Great rhombidodecahedron
Truncated great dodecahedron
Compound of six pentagonal prisms
Compound of twelve pentagonal prisms


  1. ^ Maeder, Roman. "61: great dodecicosidodecahedron". MathConsult.

See alsoEdit

External linksEdit