hypotrochoid

Inspired by the rose variation of a hypotrochoid on Wolfram’s Math World, I tried to show the logic behind how the hypotrochoid curves are drawn as well. In terms of color, the background and the resulting curve’s stroke color change with the mouse location. To add an extra level of interaction, the “n” variable also reacts to the mouse location, which controls the radii of the two circles that create the hypotrochoid, resulting in the manipulation of the resulting overall shape.