This isn't a polyhedron, but?
This is not a polyhedron, but it recalls the structure of the rhombic triacontahedron, the dual polyedron of the uniform polyhedron (3,5,3,5), whose faces are equal rhombi, that meet at the vertices in groups of 3 or 5. There are even some lamps that have this structure.
© matematita
The image belongs to the sections...:
From "symmetry and everyday life" (From "XlaTangente")
The rotation group of a dodecahedron (532) (Symmetry)
Models of polyhedra (3D geometry)
Uniform polyhedra and their duals (3D geometry)