Hyperpolygon spaces are a family of hyperkähler quiver varieties that can be obtained by hyperkähler reduction of a finite number of SU(2)-coadjoint orbits. Jointly with L. Godinho, we showed that these spaces are symplectomorphic to moduli spaces of rank 2, holomorphically trivial parabolic Higgs bundles over P1 , with fixed determinant and trace-free Higgs field, when a suitable condition between the parabolic weights and the spectra of the coadjoint orbits is satisfied. In this talk I will describe this construction and some results that generalize it in several ways.