Note: If performance is slow/sluggish inside a web browser, consider downloading to a computer and running in GeoGebra standalone app,[br][br]This is one of those constructions where I had one thing in mind at the start but then veered off in many different directions over the subsequent hours. The final construction is a metaphor for the whole process, but I still had a good time seeing it evolve.[br][br]Switch between "auto" mode in which the caterpillar chases the [color=#ff00ff]point[/color] to somewhat-random locations along the perimeter of the polygon, or "manual" mode in which you drag the [color=#ff00ff]point[/color] to any locations within the polygon.[br][br]Settings are as follows:[br][list][*]speed: speed of point & pursuing caterpillar (auto mode only)[/*][*]delay: how long point delays between moves (auto mode only)[/*][*]numlinks: number of links in caterpillar body[/*][*]ripple: size of ripple through caterpillar body[/*][*](each time slider n updates, each point closes distance between itself and the preceding point by percentage 1-ripple)[/*][*]numsides: number of polygon sides[/*][*]link: length of each link, & radius of each circle[/*][/list]