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If you analyze this contradiction very deeply, you will discover that this is not a big problem. The start with "zx:=0 zy:=0" just causes one iteration more than the start "zx:=x zy:=y". Both works! But an article about mathematics should not have such an
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Is the imaginary axis traditionally displayed inverted, with -i at the top and +i at the bottom? I believe all of the pictures are displayed in this way, as it lends to the idea of a burning ship, but the page fails to note this.
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a constant (what you might think). c is the point (x,y) which is tested by the iteration. You can see this, if you study the programming code. (search for "+x" after zx*zx-zy*zy and "+y" after abs(2*zx*zy)
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The animation is 32 meg. It's absurdly large and can expand horribly in a browser's memory (the gif animation can be expanded to individual frames and take up far more space). The youtube video (
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What does this mean, that the mapping is non-analytic? What should be analyzed? There are many equations at the linked page "Cauchy-Riemann
Equations". Which one is ignored?
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Why is this page linked? Only one of the pictures on that site seems to be a
Burning Ship, and there is no relevant commentary or even descriptions of any of the pictures. -
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It doesn't describe the functions 'Re' and 'Im', which should either have a link to its page, or a explanation on this page. -- Actually, now I see the point:
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Ahh, I found the link to his papers on the
Burning Ship buried at the bottom of the page. Is there a way we can make this link more obvious? -
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The
External link: Burning Ship fractal zoomer by Jetro Lauha may have a virus. I am running AVG which says so. Can anyone confirm this? --
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322:{\displaystyle z_{n+1}=(|\operatorname {Re} \left(z_{n}\right)|+i|\operatorname {Im} \left(z_{n}\right)|)^{2}+c,\quad z_{0}=0}
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Not exactly. The description pages of all these images have that formula with the sign inverted (minus instead of plus).
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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RE() and IM() should be self-explanatory: these functions extract the real art and the imaginary part of z.
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If you have discovered URLs which were erroneously considered dead by the bot, you can report them with
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https://web.archive.org/web/20110821220641/http://michelitsch-fractals.webs.com/Michelitsch_Fractals.htm
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I can't confirm this but it seems like this page doesn't mention fractals at all. So I delete the link.
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containing the first representations and the original paper cited above on the
Burning Ship fractal. ]
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These functions are needed to set the real and the imaginary part independently to the absolute value.
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before doing mass systematic removals. This message is updated dynamically through the template
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If you found an error with any archives or the URLs themselves, you can fix them with
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I suggest to use the code zx:=0 zy:=0 which ist more similar to the mandelbrot set.--
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734:= c in the code. (search for the lines zx:=x and zy:=y before the iteration)
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Futher
Questions about "+ c" and z0 = 0 see separate topic below.--
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http://www.geocities.com/tmichelitsch/Michelitsch_Fractals.html
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Maybe notably: IM() extracts only the number - without " i * ".
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http://michelitsch-fractals.webs.com/Michelitsch_Fractals.htm
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When you have finished reviewing my changes, please set the
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Since geocities is about to close I migrated the website to
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for additional information. I made the following changes:
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700:Is this a problem? (some ugly distortions?) --
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730:= 0 (in the introduction) contradicts with z
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