Tridyakis icosahedron
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.
| 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 |
3D model of a tridyakis icosahedron
Proportions
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.
gollark: I don't even know what economic system would actually work at this point but some markety thing seems to be the best available in a lot of domains.
gollark: Convince other people with money to give you land?
gollark: It sounds like one of those "technically accurate, but not very useful except maybe in a really specific context" definitions.
gollark: Presumably, something something social engineering.
gollark: I think communism and socialism are about more than land use, though?
See also
- Catalan solid Duals to convex uniform polyhedra
- Uniform polyhedra
- List of uniform polyhedra
References
- 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.
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