This program is in support of my answer at DSP stackexchange posted here:

How to get Fourier coefficients to draw any shape using DFT? - Signal Processing Stack Exchange

To use it, simply click a path of points and then press the [Go] button.  The program will construct (interpolate) a curve that passes through all the points in the order they were laid down ending up at the initial point.  The mathematics is actually the same as epicycle calculations, but the epicycles are not shown.  This could be the basis of a really cool epicycle animation.

Ced