[KP1] W. Kühnel and U. Pinkall, "Tight smoothings of some polyhedral surfaces" in Proc. Conf. Glob. Diff. Geom. and Glob. Anal., Berlin 1984, Lecture Notes in Mathematics 1156, Springer, Berlin, 1985.The authors give a smoothing algorithm for polyhedral surfaces that maintains tightness under certain conditions. They give a smoothable polyhedral model of the real projective plane with two handles having 3-fold rotational symmetry, and a method of adding smoothable handles while maintaining this symmetry.
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