[math-fun] equilateral elliptical n-gons

I think that by using the term "regular" instead of "equilateral", I confused everyone. I'm trying to find a simple way to generate n-vertex equilateral ellipses. It is particularly important for the application I have in mind that the vertices are at equal spacing along the perimeter of the ellipse, and most importantly, that the sequence closes after one trip around -- i.e., there can't be any gap. The reason is that I want to use these little vectors as accelerations, and if they don't sum up exactly to zero, then the velocities & positions don't have any hope of closing up.