Great disdyakis dodecahedron
Great disdyakis dodecahedron | |
---|---|
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 |
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[]
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[]
The great disdyakis dodecahedron is topologically identical to the convex Catalan solid, disdyakis dodecahedron, which is dual to the truncated cuboctahedron.
References[]
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links[]
Categories:
- Dual uniform polyhedra
- Polyhedron stubs