Math Art
Truncated Great Icosahedron

Truncated Great Icosahedron

Truncated Great Icosahedron is a uniform polyhedron, with 60 vertices, 90 edges and 32 faces, symmetry group Ih of order 120.

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Properties

Vertices
60
Edges
90
Faces
32
Convex
no
Density
7
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-stellapentakisdodecahedron
Circumradius
{'value': 1.0532917569755942, 'exact': 'sqrt(58-18*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{5}', 'exact': 'sqrt(1250-410*sqrt(5))/20', 'value': 0.9127049485253784}, {'face': '{6}', 'exact': 'sqrt(42-18*sqrt(5))/4', 'value': 0.3307922691248038}]
Midradius
{'value': 0.9270509831248415, 'exact': '3*(-1+sqrt(5))/4', 'source': 'pslq'}

Dual

great-stellapentakisdodecahedron