A new visualization algorithm for the mandelbrot set

Authors:
Raka Jovanovic;Milan Tuba;Dana Simian
Affiliations:
Institute of Physics Belgrade, Zemun, Serbia;Faculty of Computer Science, Megatrend University Belgrade, Serbia;Department of Computer Science, Lucian Blaga University of Sibiu, Romania
Venue:
MCBC'09 Proceedings of the 10th WSEAS international conference on Mathematics and computers in biology and chemistry
Year:
2009

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Abstract

In this paper we present a new method for displaying the Mandelbrot Set. Our algorithm is closely connected to Pickover Stalks and Buddhabrot method. Pickover Stalks method created biomorphs, diverse and complicated forms greatly resembling invertebrate organisms. Our method extends previously developed methods that preserve information about calculating the Mandelbrot Set. We observe the calculation-path of points tested for belonging to the Mandelbrot Set. Two variations of this display method are presented: one that only takes into account the paths taken and one that also uses information about their lengths.