AN INVESTIGATION OF THE MANDELBROT SET THROUGH THE DERIVATIVE TEST

Authors

John D. Melville, Brigham Young University
Dr. Robert P. Burton, Brigham Young University

Keywords

Mandelbrot set, derivative test, Mn(x, c)

College

Physical and Mathematical Sciences

Department

Computer Science

Abstract

Considered the most complex object in mathematics, the Mandelbrot set has dazzled and mystified mathematicians and the public for more than twenty years. Unfortunately little progress has been made in understanding the phenomena that generate the Mandelbrot set. Recent discoveries by the Hyperspace Research Group (HRG) at BYU suggested a novel and plausible explanation for the complexity of the Mandelbrot Set as an infinite set of geometric objects. The purpose of the proposed project has been to investigate and develop the mathematics required to validate this theory.

Recommended Citation

Melville, John D. and Burton, Dr. Robert P. (2013) "AN INVESTIGATION OF THE MANDELBROT SET THROUGH THE DERIVATIVE TEST," Journal of Undergraduate Research: Vol. 2013: Iss. 1, Article 2646.
Available at: https://scholarsarchive.byu.edu/jur/vol2013/iss1/2646