Math Art
Parabidiminished Rhombicosidodecahedron

Parabidiminished Rhombicosidodecahedron

Parabidiminished Rhombicosidodecahedron is a Johnson solid, with 50 vertices, 90 edges and 42 faces, symmetry group D5d of order 20.

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convex johnson

Properties

Vertices
50
Edges
90
Faces
42
Convex
yes
Density
1
Symmetry
D5d
Orbifold
2*5
Symmetry order
20
Volume
{'value': 36.967233145831315, 'exact': '5*(11+5*sqrt(5))/3', 'source': 'pslq'}
Surface area
{'value': 56.92331871068783, 'exact': None}
Circumradius
{'value': 2.2329505094156854, 'exact': 'sqrt(11+4*sqrt(5))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': None, 'value': 2.1570198525202393}, {'face': '{4}', 'exact': '(2+sqrt(5))/2', 'value': 2.1180339887498905}, {'face': '{5}', 'exact': None, 'value': 2.064572880706756}, {'face': '{10}', 'exact': 'sqrt(5+2*sqrt(5))/2', 'value': 1.5388417685876234}]
Midradius
{'value': 2.176250899482817, 'exact': 'sqrt(10+4*sqrt(5))/2', 'source': 'pslq'}