Gyrate Rhombicosidodecahedron
Gyrate Rhombicosidodecahedron is a Johnson solid, with 60 vertices, 120 edges and 62 faces, symmetry group C5v of order 10.
Open Gyrate Rhombicosidodecahedron in the interactive viewer →
convex johnson
Properties
- Vertices
- 60
- Edges
- 120
- Faces
- 62
- Convex
- yes
- Density
- 1
- Symmetry
- C5v
- Orbifold
- *55
- Symmetry order
- 10
- Volume
- {'value': 41.615323782497555, 'exact': '(60+29*sqrt(5))/3', 'source': 'pslq'}
- Surface area
- {'value': 59.30598284491159, 'exact': None}
- Circumradius
- {'value': 2.232950509415685, 'exact': 'sqrt(11+4*sqrt(5))/2', 'source': 'pslq'}
- Inradius
- [{'face': '{3}', 'exact': None, 'value': 2.1570198525202384}, {'face': '{4}', 'exact': '(2+sqrt(5))/2', 'value': 2.118033988749889}, {'face': '{5}', 'exact': None, 'value': 2.0645728807067543}]
- Midradius
- {'value': 2.1762508994828162, 'exact': 'sqrt(10+4*sqrt(5))/2', 'source': 'pslq'}