5-noid with cyclic symmetry.8-noid with dihedral symmetry.4-noid with tetrahedral symmetry.6-noid with octahedral symmetry.8-noid with octahedral symmetry.12-noid with icosahedral symmetry.20-noid with icosahedral symmetry.
References
N. Schmitt, M. Kilian, S. Kobayashi, and W. Rossman, Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms, J. Lond. Math. Soc. (2)75(2007), no. 3, 563—581 [2352721].
N. Schmitt, Constant mean curvature n-noids with platonic symmetries, arxiv:math/0702469(2007)link.
