Medial disdyakis triacontahedron
In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It has 120 triangular faces.
| Medial disdyakis triacontahedron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 120, E = 180 V = 54 (χ = −6) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | DU59 |
| dual polyhedron | Truncated dodecadodecahedron |
3D model of a medial disdyakis triacontahedron
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.
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References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
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