Outline
Fourier series and Discrete Fourier transform
A set of applets showing a geometric representation of the the Discrete Fourier Transform and how to use it to draw closed curves with epicycles.
For more info see:
Tracing closed curves with epicycles: A fun application of the discrete Fourier transform.
https://mathed.miamioh.edu/index.php/ggbj/article/view/197
Trigonometric intepolation using the Discrete Fourier Transform.
https://mathed.miamioh.edu/index.php/ggbj/article/view/188