From Key Curriculum Press, Dr. Robert L. Devaney explains how the swirling and turbulently -shaped Mandelbrot set is generated from a simple quadratic equation. An expert in dynamical systems, he takes the viewer on a tour of the shape's fascinating features, exploring various patterns and order within the chaos. Supercomputer animation transports us safely through exploding Julia sets, while simple counting techniques, like counting the ears on the 'fractal rabbits,' give us a method for identifying where we are on every stop of the tour. Patterns emerge as we identify the different features of the set, revealing within its sequences of whole numbers, fractions, even Fibonacci numbers. Once you understand the Mandelbrot set, you'll never settle for an ordinary number line again. One Video-Cassette Tape & One 12-page classroom guide with activities.
|