 This implies that the Bryant–Kusner parametrization of Boy's surfaces is "optimal" in the sense that it is the "least bent" immersion of a projective plane into three-space.If "w" is replaced by the negative reciprocal of its complex conjugate, formula_4 then the functions "g"1, "g"2, and "g"3 of "w" are left unchanged.By replacing in terms of its real and imaginary parts , and expanding resulting parameterization, one may obtain a parameterization of Boy's surface in terms of rational functions of and .