Great Dodecahedron
Great Dodecahedron is a Kepler-Poinsot star polyhedron, with 12 vertices, 30 edges and 12 faces, symmetry group Ih of order 120.
Open Great Dodecahedron in the interactive viewer →
kepler-poinsot regular star uniform
Properties
- Vertices
- 12
- Edges
- 30
- Faces
- 12
- Convex
- no
- Density
- 3
- Symmetry
- Ih
- Orbifold
- *532
- Symmetry order
- 120
- Dual
- small-stellated-dodecahedron
- Circumradius
- {'value': 0.9510565162951536, 'exact': 'sqrt(10+2*sqrt(5))/4', 'source': 'pslq'}
- Inradius
- [{'face': '{5}', 'exact': 'sqrt(50+10*sqrt(5))/20', 'value': 0.42532540417602005}]
- Midradius
- {'value': 0.8090169943749475, 'exact': '(1+sqrt(5))/4', 'source': 'pslq'}