NEEDD HELP!! parameterizing a surface given by an implicit function (HYPERBOLOID?!) 1. The problem statement, all variables and given/known data I need to parameterize the surface given by the following implicit equation: x2 + y2 + z2 + 2xy + 2xz - 2yz = 1 2. Relevant equations I tried using all sorts of subsititutions, getting one varible in terms of the other two, using cylindrical and spherical coordinate systems, etc..and I still cannot come up with parametric equations for x y and z! 3. The attempt at a solution I'm just hoping someone can point me in the right direction, or give me a good hint to crack out this answer. thanks!