Math Trek Math Art of Pursuit By Ivars Peterson July 18, 2001 at 11:36 am - More than 2 years ago Share this:Share Share via email (Opens in new window) Email Share on Facebook (Opens in new window) Facebook Share on Reddit (Opens in new window) Reddit Share on X (Opens in new window) X Print (Opens in new window) Print The simple mathematical concept of a pursuit curve can serve as the starting point for creating wonderfully intricate artistic designs. Four “bugs” chasing one another produce an intriguing pattern of nested, rotated squares. Courtesy of John Sharp. Pursuit curves based on a star-shaped polygon. Courtesy of John Sharp. Example of a pattern in which the pursuit direction changes after regular intervals.