A fixed energy density surface of a charge-3 su(2) BPS monopole with V₄ (Klein's Vier group) symmetry is displayed in the figure. You may rotate this. How many holes can you see? Can you see the stated symmetry group? The spectral curve associated to this monopole depends on two parameters, roughly the separation and relative rotation of the axes; it is the only example thus far of an explicit spectral curve depending on two parameters. The details of this may be found in the paper "Towards a Classification of Charge-3 Monopoles with Symmetry".