Math Art
Great Stellated Dodecahedron

Great Stellated Dodecahedron

Great Stellated Dodecahedron is a Kepler-Poinsot star polyhedron, with 20 vertices, 30 edges and 12 faces, symmetry group Ih of order 120.

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kepler-poinsot regular star stellation uniform

Properties

Vertices
20
Edges
30
Faces
12
Convex
no
Density
7
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-icosahedron
Circumradius
{'value': 0.5352331346596352, 'exact': 'sqrt(18-6*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{5}', 'exact': 'sqrt(250-110*sqrt(5))/20', 'value': 0.1004057079431141}]
Midradius
{'value': 0.190983005625053, 'exact': '(3-sqrt(5))/4', 'source': 'pslq'}

Dual

great-icosahedron