How could one plot an implicit function, like
(x^2+y^2)^3-4x^2y^2 using TikZ?
gnuplot supports them, but they are drawn using a surface built from the function and intersecting the result with the
z=0 plane. How would one implement this work flow directly from TikZ? I know you can easily pass explicit functions to
gnuplot but I don't want to split up the implicit function in its constituent parts if it's not necessary.
Of course, it's possible to plot in the
gnuplot program and save the results, but I'm curious whether there is a more direct way :).