3,4, or 5 Mama bugs and their baby bugs chasing each other. Press Space to start the chase. Press 'a' to get new initial positions (evenly spread). The bugs can be moved around before starting the chase, to get different patterns. Explanation: In each step, each Ladybug moves 'step' towards the next Ladybug. The traces of the ladybugs are spiral-shaped. These spirals are the actual curves of pursuit. The pattern formed also contains the polygons that in each step is drawn between the ladybugs. In order to draw the polygons, in each step a clone (baby bug) moves to the next Ladybug. Clarification: It is only the spiral shaped paths of the mama bugs that are curves of pursuit. The pattern produced here (in the triangle case), is the pattern you get if making a new triangle in each step. This pattern is produced by letting the baby bugs (clones) run ahead. Remade it using lists.
Wikipedia - Pursuit curve: http://en.wikipedia.org/wiki/Pursuit_curve I made another variant, Pursuit curve 2: http://scratch.mit.edu/projects/11254895/