Burning Ship fractal

The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function:

:$Z\_\{n+1\}\; =\; (|Re\; left(Z\_n\; ight)|+i|Im\; left(Z\_n\; ight)|)^2\; +\; c,\; quad\; Z\_0=0$

in the complex c-plane which will either converge or escape. The difference between this calculation and that for the Mandelbrot set is that the real and imaginary components are set to their respective absolute values before squaring at each iteration. The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy-Riemann conditions. [Michael Michelitsch and Otto E. Rössler (1992). "The "Burning Ship" and Its Quasi-Julia Sets". In: "Computers & Graphics" Vol. 16, No. 4, pp. 435-438, 1992. Reprinted in Clifford A. Pickover Ed. (1998). "Chaos and Fractals: A Computer Graphical Journey - A 10 Year Compilation of Advanced Research". Amsterdam, Netherlands: Elsevier. ISBN 0-444-50002-2]

References

External links

* [http://www.theory.org/fracdyn/burningship/ About properties and symmetries of the Burning Ship fractal] , featured by Theory.org,
* [http://ozviz.wasp.uwa.edu.au/~pbourke/fractals/burnship/ Burning Ship Fractal] , Description generated by a C source code.
* [http://www.graphicandfractalworld.com/Me.html Burning Ship with its Mset of higher powers and Julia Sets]
* [http://clanspk.hostingposts.com/burningship.htm Burning Ship fractal] Some features.
* [http://jet.ro/effects Burning Ship fractal zoomer by Jetro Lauha]
* [http://jet.ro/video_burningship Burningship] , Video,
* [http://www.geocities.com/tmichelitsch/Michelitsch_Fractals.html Fractal webpage] includes the first representations and the original paper cited above on the Burning Ship fractal.