I am generally dissatisfied with poor quality plots in Maple obtained with implicitplot3d. In particular, I have a polynomial in three variables x,y,z with 84 terms of degrees ranging from 0 through 12 and with integer coefficients. I have tried using options grid=[np,np,np] with np=40 and higher, and numpoints=k, where k = 1000, 10,000, 100,000, or even 1,000,000: the edges are visibly not smooth even though the size of the .eps file grows considerably to some 3MB.
Question: Any suggestions how to improve the quality of the plot? I say right away that I do not have parametrization for that surface - only an implicit definition. Perhaps I should try to find it.
Suggestions how to improve these plots will be welcome.