Pentagonal Antiprism
Pentagonal Antiprism is an antiprism, with 10 vertices, 20 edges and 12 faces, symmetry group D5d of order 20.
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antiprism chiral-family convex prism-family
Properties
- Vertices
- 10
- Edges
- 20
- Faces
- 12
- Convex
- yes
- Density
- 1
- Symmetry
- D5d
- Orbifold
- 2*5
- Symmetry order
- 20
- Dual
- pentagonal-trapezohedron
- Volume
- {'value': 1.5786893258332633, 'exact': '(5+2*sqrt(5))/6', 'source': 'pslq'}
- Surface area
- {'value': 7.771081820100127, 'exact': None}
- Circumradius
- {'value': 0.9510565162951539, 'exact': 'sqrt(10+2*sqrt(5))/4', 'source': 'pslq'}
- Inradius
- [{'face': '{3}', 'exact': 'sqrt(42+18*sqrt(5))/12', 'value': 0.755761314076171}, {'face': '{5}', 'exact': 'sqrt(50+10*sqrt(5))/20', 'value': 0.42532540417602}]
- Midradius
- {'value': 0.8090169943749477, 'exact': '(1+sqrt(5))/4', 'source': 'pslq'}