The Chaos Game

The Chaos Game is a method of creating fractals using a polygon and a point that moves between the vertices of that polygon. Sierpinski triangle Sierpinski carpet Sierpinski pentagon The point starts at any position and continuously jumps towards a random vertex by a determined factor, drawing wherever it lands. To generate the Sierpinski triangle, the point jumps towards 1 of the 3 vertices at random by a factor of 1/2. The Sierpinski carpet requires additional vertices at the midpoints of the ...