/sci/ - Science & Math

>>14882667
1. parameterize your curve (doesnt have to be algebraic)
2. perform the Fourier transform on both the x and y coordinates
the circles orbiting around each other is akin to summing the sine waves, im sure you can fill in the details. however, for each frequency it is likely that the x and y amplitudes (which correspond to the radius of the circles) won't be identical, so you need it to orbit farther in one direction than the other. this can be accomplished with two circles, rotating at the same frequency but in different directions, with different radii. this will trace an ellipse.
at least this is how i assume you do it.