Hi benice;

Mathematica agrees with you. I remember trying to write my own contour plotter. In two different languages! I do not think I ever really succeeded.

I tried to do it by solving for the points. That is difficult enough when you are standing over the computer and watching every move. In a plotter the program has to do it all by itself. Sometimes they are going to miss some and sometimes they will add a few.

By the way that is a clever way to draw two squares.

Hi bobbym,

I agree with you. It's difficult to write a contour plotter from scratch.
Many thanks to those kind people who make open/free plotters for us.

Hi benice;

Graph, gnuplot and Scilab

That is some good software there. I do not feel so bad now. I am not sure about his explanation of no sign changes.

y - x^2 = 0 has no sign changes either but graphs properly here. Or maybe you do not notice it because only (0,0) is left out!