Math Art
Great Icosihemidodecahedron

Great Icosihemidodecahedron

Great Icosihemidodecahedron is a uniform polyhedron, with 30 vertices, 60 edges and 26 faces, symmetry group Ih of order 120.

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hemipolyhedron star uniform

Properties

Vertices
30
Edges
60
Faces
26
Convex
no
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-icosihemidodecacron
Circumradius
{'value': 0.6180339887498955, 'exact': '(-1+sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(42-18*sqrt(5))/6', 'value': 0.2205281794165362}, {'face': '{10}', 'exact': '0', 'value': 8.881784197001252e-16}]
Midradius
{'value': 0.3632712640026808, 'exact': 'sqrt(5-2*sqrt(5))/2', 'source': 'pslq'}