Three high schoolers and their mentor revisited a century-old theorem to prove that all knots can be found in a fractal ...
Continue ad infinitum. The von Koch curve has infinite length (even though it is contained inside a region of finite area). The christmas tree fractal. (Larger view: white on black, black on white .) ...
In fact, this fractal, like all fractals ... Well, each of these images represents a graph of the complex number plane, and between any two numbers on the plane exists an infinite number of ...
See the commentary for W 2000 and W 2001 and W 2002 for a description of how to draw fractals with an IFS. Compare these images with the ones made using the Chaos ...
conformal graph directed Markov systems and iterated functions systems, classical theory of elliptic functions. In Volume II, all these techniques, along with an introduction to topological dynamics ...