Math Art
Trigyrate Rhombicosidodecahedron

Trigyrate Rhombicosidodecahedron

Trigyrate Rhombicosidodecahedron is a Johnson solid, with 60 vertices, 120 edges and 62 faces, symmetry group C3v of order 6.

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convex johnson

Properties

Vertices
60
Edges
120
Faces
62
Convex
yes
Density
1
Symmetry
C3v
Orbifold
*33
Symmetry order
6
Volume
{'value': 41.61532378249756, 'exact': '(60+29*sqrt(5))/3', 'source': 'pslq'}
Surface area
{'value': 59.3059828449116, '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': 2.1180339887498887}, {'face': '{5}', 'exact': None, 'value': 2.0645728807067547}]
Midradius
{'value': 2.1762508994828162, 'exact': 'sqrt(10+4*sqrt(5))/2', 'source': 'pslq'}