Math Art
Deltoidal icositetrahedron

Deltoidal icositetrahedron

Deltoidal icositetrahedron is a Catalan solid, with 26 vertices, 48 edges and 24 faces, symmetry group Oh of order 48.

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catalan convex uniform-dual

Properties

Vertices
26
Edges
48
Faces
24
Convex
yes
Symmetry
Oh
Orbifold
*432
Symmetry order
48
Dual
rhombicuboctahedron
Volume
{'value': 3.923297991809874, 'exact': None}
Surface area
{'value': 12.60228995804499, 'exact': None}
Inradius
[{'face': '{4}', 'exact': 'sqrt(204+34*sqrt(2))/17', 'value': 0.9339488310944644}]
Midradius
{'value': 0.9999999999999998, 'exact': '1', 'source': 'pslq'}

Dual

rhombicuboctahedron