Math Art
Great Stellated Truncated Dodecahedron

Great Stellated Truncated Dodecahedron

Great Stellated Truncated Dodecahedron is a uniform polyhedron, with 60 vertices, 90 edges and 32 faces, symmetry group Ih of order 120.

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Properties

Vertices
60
Edges
90
Faces
32
Convex
no
Density
13
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-triakisicosahedron
Circumradius
{'value': 0.6575504103777099, 'exact': 'sqrt(74-30*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(618-270*sqrt(5))/12', 'value': 0.3147049552430993}, {'face': '{10}', 'exact': 'sqrt(50-22*sqrt(5))/4', 'value': 0.224513988289793}]
Midradius
{'value': 0.42705098312484263, 'exact': '(-5+3*sqrt(5))/4', 'source': 'pslq'}

Dual

great-triakisicosahedron