Dodecahedron
Dodecahedron is a Platonic solid, with 20 vertices, 30 edges and 12 faces, symmetry group Ih of order 120.
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convex platonic regular uniform
Properties
- Vertices
- 20
- Edges
- 30
- Faces
- 12
- Convex
- yes
- Density
- 1
- Symmetry
- Ih
- Orbifold
- *532
- Symmetry order
- 120
- Dual
- icosahedron
- Volume
- {'value': 7.663118960624543, 'exact': '(15+7*sqrt(5))/4', 'source': 'pslq'}
- Surface area
- {'value': 20.645728807067442, 'exact': 'sqrt(225+90*sqrt(5))', 'source': 'pslq'}
- Circumradius
- {'value': 1.4012585384440692, 'exact': 'sqrt(18+6*sqrt(5))/4', 'source': 'pslq'}
- Inradius
- [{'face': '{5}', 'exact': None, 'value': 1.1135163644116033}]
- Midradius
- {'value': 1.3090169943749435, 'exact': '(3+sqrt(5))/4', 'source': 'pslq'}