Math Art
Truncated Octahedron

Truncated Octahedron

Truncated Octahedron is an Archimedean solid, with 24 vertices, 36 edges and 14 faces, symmetry group Oh of order 48.

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archimedean convex permutohedron space-filling uniform zonohedron

Properties

Vertices
24
Edges
36
Faces
14
Convex
yes
Density
1
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
tetrakishexahedron
Volume
{'value': 11.313708498984631, 'exact': '8*sqrt(2)', 'source': 'pslq'}
Surface area
{'value': 26.784609690826322, 'exact': '6+12*sqrt(3)', 'source': 'pslq'}
Circumradius
{'value': 1.5811388300841847, 'exact': 'sqrt(10)/2', 'source': 'pslq'}
Inradius
[{'face': '{4}', 'exact': 'sqrt(2)', 'value': 1.41421356237309}, {'face': '{6}', 'exact': 'sqrt(6)/2', 'value': 1.2247448713915852}]
Midradius
{'value': 1.4999999999999951, 'exact': '3/2', 'source': 'pslq'}

Dual

tetrakishexahedron