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Cellular automata are a set of rules followed to form different patterns. (i.e. The Chaos Game) There is no one fixed set of rules to form all patterns, there can be infinitely many. The evolution of ...

A Sierpinksi carpet is one of the more famous fractal objects in mathematics. Creating one is an iterative procedure. Start with a square, divide it into nine equal squares and remove the central one.

The mathematical characterization of patterns in Pascal's triangle is useful and can be achieved by a variety of brute-force computations, but sometimes at a cost of the loss of an intuitive feeling ...

Remember Grant? The guy who gave out pumpkins on Black Friday? Well he’s back with a whole new game. He and his senior class made an eight-foot Sierpinski Triangle, a “a fractal and attractive fixed ...

This program will draw fractals with an Iterated Function System or by the Chaos Game. Either method requires that the transformations defining the IFS be given. An IFS is composed of a number of ...