A similarity fractal named for the French mathematician Paul Lévy, who was the first to describe its self-similarity properties. Set the Level slider to 0, press the green flag, and view the initiator. Set the Level slider to 1, press the green flag, and view the generator. At subsequent levels, the generator is applied to every straight line segment. That's the source of the complexity at higher levels. Set the Level slider to 2 and the basic 'C' structure appears.
The dimension of a similarity fractal is found by counting the number of equal line segments in the generator and the number of line segments of the generator it takes to make the initiator. At subsequent levels, the generator is applied to every straight line segment. That's the source of the complexity at higher levels.
