Math Art
Rhombicosidodecahedron

Rhombicosidodecahedron

Rhombicosidodecahedron is an Archimedean solid, with 60 vertices, 120 edges and 62 faces, symmetry group Ih of order 120.

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archimedean convex uniform

Properties

Vertices
60
Edges
120
Faces
62
Convex
yes
Density
1
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
deltoidal-hexecontahedron
Volume
{'value': 41.61532378249715, 'exact': '(60+29*sqrt(5))/3', 'source': 'pslq'}
Surface area
{'value': 59.3059828449112, 'exact': None}
Circumradius
{'value': 2.232950509415678, 'exact': 'sqrt(11+4*sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': None, 'value': 2.157019852520232}, {'face': '{4}', 'exact': '(2+sqrt(5))/2', 'value': 2.118033988749883}, {'face': '{5}', 'exact': None, 'value': 2.0645728807067485}]
Midradius
{'value': 2.1762508994828096, 'exact': 'sqrt(10+4*sqrt(5))/2', 'source': 'pslq'}

Dual

deltoidal-hexecontahedron