Math Art
Cuboctahedron

Cuboctahedron

Cuboctahedron is an Archimedean solid, with 12 vertices, 24 edges and 14 faces, symmetry group Oh of order 48.

Open Cuboctahedron in the interactive viewer →

archimedean convex quasiregular uniform

Properties

Vertices
12
Edges
24
Faces
14
Convex
yes
Density
1
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
rhombic-dodecahedron
Volume
{'value': 2.3570226039551447, 'exact': '5*sqrt(2)/3', 'source': 'pslq'}
Surface area
{'value': 9.464101615137718, 'exact': '6+2*sqrt(3)', 'source': 'pslq'}
Circumradius
{'value': 0.9999999999999984, 'exact': '1', 'source': 'pslq'}
Inradius
[{'face': '{3}', 'exact': 'sqrt(6)/3', 'value': 0.8164965809277249}, {'face': '{4}', 'exact': 'sqrt(2)/2', 'value': 0.7071067811865465}]
Midradius
{'value': 0.8660254037844375, 'exact': 'sqrt(3)/2', 'source': 'pslq'}

Dual

rhombic-dodecahedron