Math Art
Small Stellated Dodecahedron

Small Stellated Dodecahedron

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

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kepler-poinsot regular star stellation uniform

Properties

Vertices
12
Edges
30
Faces
12
Convex
no
Density
3
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
great-dodecahedron
Circumradius
{'value': 0.5877852522924737, 'exact': 'sqrt(10-2*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{5}', 'exact': 'sqrt(50-10*sqrt(5))/20', 'value': 0.262865556059567}]
Midradius
{'value': 0.30901699437494773, 'exact': '(-1+sqrt(5))/4', 'source': 'pslq'}

Dual

great-dodecahedron