Math Art
Skilling 45: 12 Pentagrammic Antiprisms (Ih)

Skilling 45: 12 Pentagrammic Antiprisms (Ih)

Skilling 45: 12 Pentagrammic Antiprisms (Ih) is a polyhedral compound, with 120 vertices, 240 edges and 144 faces, symmetry group Ih of order 120.

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compound

Properties

Vertices
120
Edges
240
Faces
144
Convex
no
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Circumradius
{'value': 0.6564310317447638, 'exact': 'sqrt(150+10*sqrt(5))/20', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(150+90*sqrt(5))/60', 'value': 0.3123593541166352}, {'face': '{5}', 'exact': 'sqrt(-2+2*sqrt(5))/4', 'value': 0.3930756888787118}]
Midradius
{'value': 0.4253254041760202, 'exact': 'sqrt(50+10*sqrt(5))/20', 'source': 'pslq'}