Great triakis icosahedron
In geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great stellated truncated dodecahedron. Its faces are isosceles triangles. Part of each triangle lies within the solid, hence is invisible in solid models.
| Great triakis icosahedron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 60, E = 90 V = 32 (χ = 2) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | DU66 |
| dual polyhedron | Great stellated truncated dodecahedron |
3D model of a great triakis icosahedron
Proportions
The triangles have one angle of and two of . The dihedral angle equals .
gollark: I don't think it's impossible, just highly impractical.
gollark: You *can*? In general? I thinky not.
gollark: Which I just made up now.
gollark: I mean, the intuitive proof thing... what about the simpler "halting problem for program with no input" thing?
gollark: I mean, not faster in general.
See also
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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