Visualizing Escape Paths in the Mandelbrot Set

Anne M. Burns
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 511–516


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.