Math Art
Icosidodecahedron

Icosidodecahedron

Icosidodecahedron is an Archimedean solid, with 30 vertices, 60 edges and 32 faces, symmetry group Ih of order 120.

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archimedean convex quasiregular uniform

Properties

Vertices
30
Edges
60
Faces
32
Convex
yes
Density
1
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
rhombic-triacontahedron
Volume
{'value': 13.83552593624913, 'exact': None}
Surface area
{'value': 29.305982844911604, 'exact': None}
Circumradius
{'value': 1.618033988749886, 'exact': '(1+sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(42+18*sqrt(5))/6', 'value': 1.511522628152333}, {'face': '{5}', 'exact': 'sqrt(25+10*sqrt(5))/5', 'value': 1.3763819204711658}]
Midradius
{'value': 1.5388417685876183, 'exact': 'sqrt(5+2*sqrt(5))/2', 'source': 'pslq'}

Dual

rhombic-triacontahedron