Math Art
Rhombic dodecahedron

Rhombic dodecahedron

Rhombic dodecahedron is a Catalan solid, with 14 vertices, 24 edges and 12 faces, symmetry group Oh of order 48.

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catalan convex uniform-dual

Properties

Vertices
14
Edges
24
Faces
12
Convex
yes
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
cuboctahedron
Volume
{'value': 3.0792014356779935, 'exact': '16*sqrt(3)/9', 'source': 'pslq'}
Surface area
{'value': 11.313708498984735, 'exact': '8*sqrt(2)', 'source': 'pslq'}
Inradius
[{'face': '{4}', 'exact': 'sqrt(6)/3', 'value': 0.8164965809277254}]
Midradius
{'value': 0.9428090415820629, 'exact': '2*sqrt(2)/3', 'source': 'pslq'}

Dual

cuboctahedron