Math Art
Great Truncated Cuboctahedron

Great Truncated Cuboctahedron

Great Truncated Cuboctahedron is a uniform polyhedron, with 48 vertices, 72 edges and 26 faces, symmetry group Oh of order 48.

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Properties

Vertices
48
Edges
72
Faces
26
Convex
no
Density
1
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
great-disdyakisdodecahedron
Circumradius
{'value': 1.062393362385306, 'exact': 'sqrt(13-6*sqrt(2))/2', 'source': 'pslq'}
Inradius
[{'face': '{4}', 'exact': '(3-sqrt(2))/2', 'value': 0.792893218813452}, {'face': '{6}', 'exact': 'sqrt(9-6*sqrt(2))/2', 'value': 0.35871946760715034}, {'face': '{8}', 'exact': '(-1+2*sqrt(2))/2', 'value': 0.9142135623730941}]
Midradius
{'value': 0.9373791423113469, 'exact': 'sqrt(12-6*sqrt(2))/2', 'source': 'pslq'}

Dual

great-disdyakisdodecahedron