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Burning Ship fractal
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Burning Ship fractal : ウィキペディア英語版
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_ = (|\operatorname \left(z_n\right)|+i|\operatorname \left(z_n\right)|)^2 + c, \quad z_0=0
in the complex plane \mathbb which will either escape or remain bounded. 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 equations.〔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==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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