Math Art
Great Icosidodecahedron

Great Icosidodecahedron

Great Icosidodecahedron is a uniform polyhedron, with 30 vertices, 60 edges and 32 faces, symmetry group Ih of order 120.

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Properties

Vertices
30
Edges
60
Faces
32
Convex
no
Density
7
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-rhombic-triacontahedron
Circumradius
{'value': 0.6180339887498951, 'exact': '(-1+sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(42-18*sqrt(5))/6', 'value': 0.220528179416536}, {'face': '{5}', 'exact': 'sqrt(25-10*sqrt(5))/5', 'value': 0.32491969623290695}]
Midradius
{'value': 0.363271264002681, 'exact': 'sqrt(5-2*sqrt(5))/2', 'source': 'pslq'}

Dual

great-rhombic-triacontahedron