[math-fun] Polynomial Spirals

Hi all, I came across polynomial spirals as generalizations of the Cornu spiral: http://www.2dcurves.com/spiral/spiralps.html At the bottom of this page are 4 examples where the curvature is a polynomial function of the arc length. How can one generate a pair of parameterized equations for x and y, given the fact that the curvature is a polynomial function of the arc length? Thanks, Kerry -- lkmitch@gmail.com www.kerrymitchellart.com http://spacefilling.blogspot.com/