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| [[Image:Burning Ship Fractal Overview.jpg|thumb|High-quality overview image of the Burning Ship fractal]]
| | Hi there. Allow me begin by introducing the writer, her name is Sophia. For a whilst I've been in Mississippi but now I'm contemplating other choices. To perform lacross is 1 of the things she loves most. He is an order clerk and it's some thing he really enjoy.<br><br>Here is my webpage :: [http://afeen.fbho.net/v2/index.php?do=/profile-210/info/ clairvoyant psychic] |
| [[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. Allow me begin by introducing the writer, her name is Sophia. For a whilst I've been in Mississippi but now I'm contemplating other choices. To perform lacross is 1 of the things she loves most. He is an order clerk and it's some thing he really enjoy.
Here is my webpage :: clairvoyant psychic