Great Icosahedron
Great Icosahedron is a Kepler-Poinsot star polyhedron, with 12 vertices, 30 edges and 20 faces, symmetry group Ih of order 120.
Open Great Icosahedron in the interactive viewer →
deltahedron kepler-poinsot regular star uniform
Properties
- Vertices
- 12
- Edges
- 30
- Faces
- 20
- Convex
- no
- Density
- 7
- Symmetry
- Ih
- Orbifold
- *532
- Symmetry order
- 120
- Dual
- great-stellated-dodecahedron
- Circumradius
- {'value': 0.5877852522924734, 'exact': 'sqrt(10-2*sqrt(5))/4', 'source': 'pslq'}
- Inradius
- [{'face': '{3}', 'exact': 'sqrt(42-18*sqrt(5))/12', 'value': 0.11026408970826801}]
- Midradius
- {'value': 0.30901699437494756, 'exact': '(-1+sqrt(5))/4', 'source': 'pslq'}