Math Art
Triakisicosahedron

Triakisicosahedron

Triakisicosahedron is a Catalan solid, with 32 vertices, 90 edges and 60 faces, symmetry group Ih of order 120.

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catalan convex uniform-dual

Properties

Vertices
32
Edges
90
Faces
60
Convex
yes
Symmetry
Ih
Orbifold
*532
Symmetry order
120
Dual
truncated-dodecahedron
Volume
{'value': 4.4321710931835305, 'exact': '10*(25-9*sqrt(5))/11', 'source': 'pslq'}
Surface area
{'value': 13.489111908199419, 'exact': None}
Inradius
[{'face': '{3}', 'exact': 'sqrt(10370+1830*sqrt(5))/122', 'value': 0.985721919281302}]
Midradius
{'value': 1.0000000000000002, 'exact': '1', 'source': 'pslq'}

Dual

truncated-dodecahedron