Math Art
Skilling 67: 5 Nonconvex Great Rhombicuboctahedra

Skilling 67: 5 Nonconvex Great Rhombicuboctahedra

Skilling 67: 5 Nonconvex Great Rhombicuboctahedra is a polyhedral compound, with 120 vertices, 240 edges and 130 faces, symmetry group Ih of order 120.

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compound

Properties

Vertices
120
Edges
240
Faces
130
Convex
no
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Circumradius
{'value': 0.7368128791039509, 'exact': 'sqrt(5-2*sqrt(2))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(33-18*sqrt(2))/6', 'value': 0.457777113320576}, {'face': '{4}', 'exact': '(-1+sqrt(2))/2', 'value': 0.20710678118654796}]
Midradius
{'value': 0.5411961001461973, 'exact': 'sqrt(4-2*sqrt(2))/2', 'source': 'pslq'}