Math Art
Great pentakisdodekahedron

Great pentakisdodekahedron

Great pentakisdodekahedron is a dual of a uniform polyhedron, with 24 vertices, 90 edges and 60 faces, symmetry group Ih of order 120.

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star uniform-dual

Properties

Vertices
24
Edges
90
Faces
60
Convex
no
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
small-stellated-truncated-dodecahedron
Inradius
[{'face': '{3}', 'exact': 'sqrt(5330-410*sqrt(5))/82', 'value': 0.8101464796227518}]
Midradius
{'value': 0.9999999999999996, 'exact': '1', 'source': 'pslq'}

Dual

small-stellated-truncated-dodecahedron