Math Art
Rhombicuboctahedron

Rhombicuboctahedron

Rhombicuboctahedron is an Archimedean solid, with 24 vertices, 48 edges and 26 faces, symmetry group Oh of order 48.

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archimedean convex uniform

Properties

Vertices
24
Edges
48
Faces
26
Convex
yes
Density
1
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
deltoidal-icositetrahedron
Volume
{'value': 8.714045207910253, 'exact': '2*(6+5*sqrt(2))/3', 'source': 'pslq'}
Surface area
{'value': 21.464101615137654, 'exact': '18+2*sqrt(3)', 'source': 'pslq'}
Circumradius
{'value': 1.3989663259659038, 'exact': 'sqrt(5+2*sqrt(2))/2', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(33+18*sqrt(2))/6', 'value': 1.2742736942482988}, {'face': '{4}', 'exact': '(1+sqrt(2))/2', 'value': 1.2071067811865452}]
Midradius
{'value': 1.306562964876374, 'exact': 'sqrt(4+2*sqrt(2))/2', 'source': 'pslq'}

Dual

deltoidal-icositetrahedron