Icosahedron
Icosahedron is a Platonic solid, with 12 vertices, 30 edges and 20 faces, symmetry group Ih of order 120.
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convex deltahedron platonic regular uniform
Properties
- Vertices
- 12
- Edges
- 30
- Faces
- 20
- Convex
- yes
- Density
- 1
- Symmetry
- Ih
- Orbifold
- *532
- Symmetry order
- 120
- Dual
- dodecahedron
- Volume
- {'value': 2.1816949906248904, 'exact': '5*(3+sqrt(5))/12', 'source': 'pslq'}
- Surface area
- {'value': 8.660254037844332, 'exact': '5*sqrt(3)', 'source': 'pslq'}
- Circumradius
- {'value': 0.9510565162951511, 'exact': 'sqrt(10+2*sqrt(5))/4', 'source': 'pslq'}
- Inradius
- [{'face': '{3}', 'exact': 'sqrt(42+18*sqrt(5))/12', 'value': 0.755761314076169}]
- Midradius
- {'value': 0.8090169943749455, 'exact': '(1+sqrt(5))/4', 'source': 'pslq'}