MATH WITH PERREN

TRIANGLES FROM CHAOS

This is a fascinating example of how random events executed under simple rules can lead to order. If you assign three random fixed points to make a triangle, then from anywhere on the canvas if you cut the distance in half towards one of the three fixed points and draw a new point. Do it once and its not very interesting, but if you keep repeating this strategy of drawing a point half way towards one of the three fixed point a pattern emerges.