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To answer the 3d plot question, again, you need to make the functions calculate their values when the plotting routine is actually getting points, not before the plotting routine is called:

Y=parametric_plot3d([lambda s,t: (2+sin(s))*sin(t*f(s)),lambda s,t: cos(s),lambda s,t: (2+sin(s))*cos(t*f(s))],(s,0,2*pi),(t,-1,1))