Math Art
Truncated Cuboctahedron

Truncated Cuboctahedron

Truncated Cuboctahedron is an Archimedean solid, with 48 vertices, 72 edges and 26 faces, symmetry group Oh of order 48.

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archimedean convex uniform zonohedron

Properties

Vertices
48
Edges
72
Faces
26
Convex
yes
Density
1
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
disdyakisdodecahedron
Volume
{'value': 41.798989873222595, 'exact': '22+14*sqrt(2)', 'source': 'pslq'}
Surface area
{'value': 61.75517243930294, 'exact': None}
Circumradius
{'value': 2.3176109128927544, 'exact': 'sqrt(13+6*sqrt(2))/2', 'source': 'pslq'}
Inradius
[{'face': '{4}', 'exact': '(3+sqrt(2))/2', 'value': 2.207106781186536}, {'face': '{6}', 'exact': 'sqrt(9+6*sqrt(2))/2', 'value': 2.0907702751760158}, {'face': '{8}', 'exact': '(1+2*sqrt(2))/2', 'value': 1.9142135623730852}]
Midradius
{'value': 2.2630334384537028, 'exact': 'sqrt(12+6*sqrt(2))/2', 'source': 'pslq'}

Dual

disdyakisdodecahedron