Is there plane curves with limit number of operations in which is non-constructible and how do we prove it is non-constructible, i call it non-constructible if we have to plot infinity number of point in order to obtain for every part of curve, for example, the parabola is constructible since we could construct any part of the curve we want if we have long enough string. This link give such method: http://mathdemos.org/mathdemos/conic_via_locus/
Any tools could be using except elctronic device or a object with the curve in it or ruler with marks in it