The Chaos Game Versus Uniform Rotation: From Sierpinski Gaskets to
Periodic Orbits
The Chaos Game Versus Uniform Rotation: From Sierpinski Gaskets to
Periodic Orbits
In this paper, we introduce a couple of dynamical systems that are related to the Chaos Game. We begin by discussing different methods of generating the Sierpinski gasket. Then we show how the transition from random to uniform selection reduces the Sierpinski gasket to simple periodic orbits. Next, we provide …