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Polyhedron with 48 faces From Wikipedia, the free encyclopedia
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.
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 |
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.
The great disdyakis dodecahedron is topologically identical to the convex Catalan solid, disdyakis dodecahedron, which is dual to the truncated cuboctahedron.
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