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 | DU 20 |
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.
The triangles have one angle of , one of and one of . The dihedral angle equals .
The great disdyakis dodecahedron is topologically identical to the convex Catalan solid, disdyakis dodecahedron, which is dual to the truncated cuboctahedron.