Math Art
Nonconvex Great Rhombicosidodecahedron

Nonconvex Great Rhombicosidodecahedron

Nonconvex Great Rhombicosidodecahedron is a uniform polyhedron, with 60 vertices, 120 edges and 62 faces, symmetry group Ih of order 120.

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Properties

Vertices
60
Edges
120
Faces
62
Convex
no
Density
13
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-deltoidal-hexecontahedron
Circumradius
{'value': 0.7168905233717422, 'exact': 'sqrt(11-4*sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(87-36*sqrt(5))/6', 'value': 0.4249690449513667}, {'face': '{4}', 'exact': '(-2+sqrt(5))/2', 'value': 0.11803398874989517}, {'face': '{5}', 'exact': 'sqrt(225-90*sqrt(5))/10', 'value': 0.48737954434935965}]
Midradius
{'value': 0.513743148373008, 'exact': 'sqrt(10-4*sqrt(5))/2', 'source': 'pslq'}

Dual

great-deltoidal-hexecontahedron