The animated GIF files below were created with *Mathematica*, then tweaked with Microsoft GIF Animator.
The *Mathematica* code used to generate these pictures is in the
BeetleTracks.nb notebook.

These images show the changing paths of the beetles as they spiral in to the "counter-clockwise beetle center" of the triangle, as the shape of the triangle changes. (That is, the beetles are chasing one another counter-clockwise around the triangle.)

varying height | varying location of peak | varying side length | varying angle |