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There is a recent new method that could be useful:

        sage: P = implicit_plot3d(x**4+y**4+z**2-4,(x,-2,2),(y,-2,2),(z,-2,2),alpha=0.3)
        sage: def cut(a,b,c):
        ....:     return a*a+c*c > 2
        sage: Q = P.add_condition(cut,40); Q