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This is an old revision of this page, as edited by 87.194.30.190 (talk) at 23:20, 18 November 2009 (making the Mandelbrot (iterative construction images?): new section). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

3D Mandelbrot/Mandelbulb?

Moved new section to bottom of page. 69.228.171.150 (talk) 17:25, 16 November 2009 (UTC)[reply]

Boundary

Can the boundary be generated by reverse iteration? If so, how? --72.197.202.36 (talk) 00:22, 20 September 2009 (UTC)[reply]

Here is Inverse Mandelbrot Iteration by R Munafo. I do not know example images and do not know what is the result of this method. HTH. --Adam majewski (talk) 22:01, 27 September 2009 (UTC)[reply]

Loading time

You should create other articles on the parts of this article, as it's too slow to load.114.76.185.200 (talk) 12:03, 26 September 2009 (UTC)[reply]

Informal description

I've added such a section near the beginning of the article, because (speaking as a high-school student) in reading the article as it was, I was unable to obtain even a vague idea what the Mandelbrot set was. Five minutes reading an off-wikipedia description found of Google, and I was crystal clear on the subject.

If my definition contains any gross errors (or if it's against Wikipedia policy), then by all means remove or edit it, preferably the latter. But I think the purpose of any non-technical introduction is to provide an intuitive understanding of the subject, and a certain amount of rigor and accuracy can and should therefore be sacrificed in favor of clarity. Gaiacarra (talk) 19:14, 27 October 2009 (UTC)[reply]

can someone explain what the color in the pictures means?

I'm guessing it's a result of downscaling an image of the function with some kind of averaging function and then assigning a series of colors to the values in the downscaled image. Am I right and if so shouldn't the article be clear on this point? Plugwash (talk) 00:38, 16 November 2009 (UTC)[reply]

There is an explanation of various colouring methods in the Computer drawings section of the article. Colours typically represent an encoding of escape time or some other measure of "how far" a point is from the boundary of the Mandelbrot set. Gandalf61 (talk) 10:59, 16 November 2009 (UTC)[reply]

missing practical uses ?!?

Is the article missing practical uses ? --89.152.177.195 (talk) 16:05, 16 November 2009 (UTC)[reply]

3D Mandelbrot/Mandelbulb?

Moved from top of page by 69.228.171.150 (talk).

There is a 3d picture, but no mention of these pretty objects. Perhaps it should be an article of its own, but even then there ought to be links. http://www.skytopia.com/project/fractal/mandelbulb.html —Preceding unsigned comment added by 130.238.15.194 (talk) 10:56, 16 November 2009 (UTC)[reply]

I don't think there's grounds for a separate article. I saw that link on slashdot and was thinking of putting it into this article, but I'm a bit hesitant because it offers prints for sale and could be considered a retail link. The sales part is fairly low-key though, and the images on the page are nice. 69.228.171.150 (talk) 17:25, 16 November 2009 (UTC)[reply]
Someone else made a stub article with just that link, so I added a section to this article and redirected the stub here. 69.228.171.150 (talk) 10:51, 18 November 2009 (UTC)[reply]

making the Mandelbrot (iterative construction images?)

I've understood the general principle of fractals and how you create them for years, but not one article I've read has ever explained this visually for the Mandelbrot set - until now.

http://www.skytopia.com/project/fractal/2mandelbulb.html#iter has a set of eight images running from iteration 2 (which is elliptical - at least to my eye - while iteration 1 is a circle) to iteration 5000.

Wikipedia has such iteration illustrations already for things like the Koch snowflake, Sierpinski triangle and Peano curve. Could we illustrate some iterations of the Mandelbrot too - pretty please? It really made the whole subject click for me. As I'm not a mathematician or programmer, fractal formulae say very little to me, while their iteration diagrams speak oceans. 87.194.30.190 (talk) 23:20, 18 November 2009 (UTC)[reply]