Pentagonal Cupola
Pentagonal Cupola is a Johnson solid, with 15 vertices, 25 edges and 12 faces, symmetry group C5v of order 10.
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convex johnson
Properties
- Vertices
- 15
- Edges
- 25
- Faces
- 12
- Convex
- yes
- Density
- 1
- Symmetry
- C5v
- Orbifold
- *55
- Symmetry order
- 10
- Volume
- {'value': 2.3240453183331886, 'exact': '(5+4*sqrt(5))/6', 'source': 'pslq'}
- Surface area
- {'value': 16.579749752988185, 'exact': None}
- Inradius
- [{'face': '{3}', 'exact': 'sqrt(810+210*sqrt(5))/45', 'value': 0.7949141658065845}, {'face': '{4}', 'exact': '(15+11*sqrt(5))/60', 'value': 0.6599457958749609}, {'face': '{5}', 'exact': 'sqrt(50-10*sqrt(5))/15', 'value': 0.350487408079422}, {'face': '{10}', 'exact': 'sqrt(50-10*sqrt(5))/30', 'value': 0.175243704039711}]