Tridyakis icosahedron | |
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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.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Tridyakis_icosahedron.stl/220px-Tridyakis_icosahedron.stl.png)
Proportions
editThe 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
edit- Catalan solid Duals to convex uniform polyhedra
- Uniform polyhedra
- List of uniform polyhedra
References
edit- 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.