Great disdyakis dodecahedron
Appearance
Great disdyakis dodecahedron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 48, E = 72 V = 26 (χ = 2) |
Symmetry group | Oh, [4,3], *432 |
Index references | DU20 |
dual polyhedron | Great truncated cuboctahedron |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Great_disdyakis_dodecahedron.stl/220px-Great_disdyakis_dodecahedron.stl.png)
In geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great truncated cuboctahedron. It has 48 triangular faces.
Proportions[edit]
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.
Related polyhedra[edit]
The great disdyakis dodecahedron is topologically identical to the convex Catalan solid, disdyakis dodecahedron, which is dual to the truncated cuboctahedron.
References[edit]
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links[edit]