Visualizing Escape Paths in the Mandelbrot Set
Bridges London: Mathematics, Music, Art, Architecture, Culture
Pages 511–516
Abstract
This paper describes a method for producing a striking animation of the explosions that take place as the parameter c that defines the Mandelbrot Set is allowed to traverse a path from inside the large cardioid component of the Mandelbrot Set into one of the attached bulbs or other regions just outside the set. The presentation will include the animation itself, as well as some of the colorful images obtained by stopping the animation at various points.