Math Art
Great Icosicosidodecahedron

Great Icosicosidodecahedron

Great Icosicosidodecahedron is a uniform polyhedron, with 60 vertices, 120 edges and 52 faces, symmetry group Ih of order 120.

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Properties

Vertices
60
Edges
120
Faces
52
Convex
no
Density
6
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-icosacronic-hexecontahedron
Circumradius
{'value': 1.1342285961998904, 'exact': 'sqrt(34-6*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(258-54*sqrt(5))/12', 'value': 0.976289493492705}, {'face': '{5}', 'exact': 'sqrt(650-190*sqrt(5))/20', 'value': 0.7502451004089257}, {'face': '{6}', 'exact': 'sqrt(18-6*sqrt(5))/4', 'value': 0.5352331346596345}]
Midradius
{'value': 1.018073920910253, 'exact': 'sqrt(30-6*sqrt(5))/4', 'source': 'pslq'}

Dual

great-icosacronic-hexecontahedron