<ul><li>Mathematica includes code to draw whimsical images like a dragonfly using Fourier series.</li><li>The dragonfly image is created by a parameterized curve expressed through Fourier series with frequencies up to sin(81t).</li><li>To draw such images, the number of Fourier components required depends on the smoothness and complexity of the image.</li><li>The process involves creating the image in software like Adobe Illustrator or Inkscape, then using a Fourier transform on a sample of the curve to generate the parameterized curve.</li></ul>

How Mathematica Draws a Dragonfly

Discover more