Great icosihemidodecahedron

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Great icosihemidodecahedron
Great icosihemidodecahedron
Type Uniform polyhedron
Elements F = 26, E = 60
V = 30 (χ = -4)
Faces by sides 20{3}+6{10/3}
Wythoff symbol 3 3 | 5/3
Symmetry group Ih
Index references U71, C85, W106
Great icosihemidodecahedron
3.10/3.3.10/3
(Vertex figure)

Great icosihemidodecacron
(dual polyhedron)

In geometry, the great icosihemidodecahedron is a nonconvex uniform polyhedron, indexed as U71.

It shares the same edge arrangement, along with its 20 triangular faces, with the great icosidodecahedron.

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