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| [[Image:Burning Ship Fractal Overview.jpg|thumb|High-quality overview image of the Burning Ship fractal]]
| | Hi there, I am Alyson Pomerleau and I think it seems fairly good when you say it. My day occupation is an info officer but I've already applied for another 1. To climb is something she would by no means give up. Kentucky is exactly where I've always been residing.<br><br>Take a look at my web page: real psychic readings; [http://Afeen.Fbho.net/v2/index.php?do=/profile-210/info/ you can try this out], |
| [[Image:Burning Ship Left.jpg|thumb|High-quality image of the large ship in the left antenna]]
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| The '''Burning Ship [[fractal]]''', first described and created by Michael Michelitsch and [[Otto E. Rössler]] in 1992, is generated by iterating the function:
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| :<math>z_{n+1} = (|\operatorname{Re} \left(z_n\right)|+i|\operatorname{Im} \left(z_n\right)|)^2 + c, \quad z_0=0</math>
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| in the [[complex plane]] <math>\mathbb{C}</math> 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]].<ref>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</ref>
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| {{Gallery
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| |title=Burning Ship Fractal renderings
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| |align=center
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| |height=125
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| |lines=5
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| |File:Burning Ship 3e-9.jpg|High-quality deep-zoom image of a small ship in the armada in the left Western antenna of the main ship structure
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| |File:Burning Ship Deep Zoom 2e-50.jpg|Burning Ship Deep Zoom to 2.3e-50
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| |File:Burning Ship Fractal.png|The Burning Ship fractal
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| |File:Burning Ship Fractal Zoom.png|A zoom-in to the lower left of the Burning Ship fractal, showing a "burning ship" and self-similarity to the complete fractal.
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| |File:Burning Ship Fractal Zoom 2.png|A zoom-in to line on the left of the fractal, showing nested repetition (a different colour scheme is used here).
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| |File:Burning_Ship_144x.jpg|High quality image of the Burning Ship fractal.
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| |File:Jentererforetrukket.jpg|The Burning Ship Fractal featured in the 1K intro "JenterErForetrukket" by Youth Uprising; a demoscene production.
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| }}
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| ==See also==
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| * [[Mandelbrot set]]
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| * [[Julia set]]
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| * [[Fractal]]
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| ==References==
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| {{reflist}}
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| ==External links==
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| {{commons}}
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| *[http://www.theory.org/fracdyn/burningship/ About properties and symmetries of the Burning Ship fractal], featured by Theory.org,
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| *[http://paulbourke.net/fractals/burnship/ Burning Ship Fractal], Description and C source code.
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| *[http://www.graphicandfractalworld.com/Me.html Burning Ship with its Mset of higher powers and Julia Sets]
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| *[http://jet.ro/video_burningship Burningship], Video,
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| *[http://michelitsch-fractals.webs.com/Michelitsch_Fractals.htm Fractal webpage] includes the first representations and the original paper cited above on the Burning Ship fractal.
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| *[http://www.fractalforums.com/index.php?action=gallery;sa=view;id=4057 3D representations of the Burning Ship fractal]
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| [[Category:Fractals]]
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| {{Fractals}}
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| {{geometry-stub}}
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Hi there, I am Alyson Pomerleau and I think it seems fairly good when you say it. My day occupation is an info officer but I've already applied for another 1. To climb is something she would by no means give up. Kentucky is exactly where I've always been residing.
Take a look at my web page: real psychic readings; you can try this out,