Tridyakis icosahedron
Type Star polyhedron
Face
Elements F = 120, E = 180
V = 44 (χ = −16)
Symmetry group Ih, [5,3], *532
Index references DU45
dual polyhedron Icositruncated dodecadodecahedron

In geometry, the tridyakis icosahedron is the dual polyhedron of the nonconvex uniform polyhedron, icositruncated dodecadodecahedron. It has 44 vertices, 180 edges, and 120 scalene triangular faces.

3D model of a tridyakis icosahedron

Proportions

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The triangles have one angle of  , one of   and one of  . The dihedral angle equals  . Part of each triangle lies within the solid, hence is invisible in solid models.

See also

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References

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  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208 Photo on page 96, Dorman Luke construction and stellation pattern on page 97.
  • Weisstein, Eric W. "Tridyakis Icosahedron". MathWorld.