Math Art
12 Icosahedra (4-fold)

12 Icosahedra (4-fold)

12 Icosahedra (4-fold) is a polyhedral compound, with 126 vertices, 360 edges and 240 faces, symmetry group Oh of order 48.

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compound

Properties

Vertices
126
Edges
360
Faces
240
Convex
no
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Circumradius
{'value': 0.951056516295154, 'exact': 'sqrt(10+2*sqrt(5))/4', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(42+18*sqrt(5))/12', 'value': 0.7557613140761711}]
Midradius
{'value': 0.8090169943749477, 'exact': '(1+sqrt(5))/4', 'source': 'pslq'}