Iterated Function Systems Fractals, also known as IFS Fractals, use the plane transformations of scaling, dislocation, and rotating the plane's axes to create fractals. They start with an original shape and apply the rules of transformations for the fractal over and over again. The original shape is transformed into an entirely new shape using these iterations! Sierpinski's triangle and von Koch’s snowflake are created using this method.
The steps to creating any kind of IFS fractal is simple, you take one shape and rotate or change its location in some way and repeat until you find yourself with a fractal.
Chaos Game
The Iterated Function System of generating fractals also influences the Chaos Game, which Michael Barnsley created at the Georgia Institute of Technology in the 1980s. It uses randomness to generate fractals. The game defines one point in the plane every iteration.