Math Art
Pentagonal Orthobicupola

Pentagonal Orthobicupola

Pentagonal Orthobicupola is a Johnson solid, with 20 vertices, 40 edges and 22 faces, symmetry group D5h of order 20.

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convex johnson

Properties

Vertices
20
Edges
40
Faces
22
Convex
yes
Density
1
Symmetry
D5h
Orbifold
*225
Symmetry order
20
Volume
{'value': 4.648090636666377, 'exact': '(5+4*sqrt(5))/3', 'source': 'pslq'}
Surface area
{'value': 17.771081820100108, 'exact': None}
Inradius
[{'face': '{3}', 'exact': 'sqrt(18+6*sqrt(5))/6', 'value': 0.9341723589627154}, {'face': '{4}', 'exact': '(1+sqrt(5))/4', 'value': 0.8090169943749469}, {'face': '{5}', 'exact': 'sqrt(50-10*sqrt(5))/10', 'value': 0.525731112119133}]