Talk:Mandelbrot set

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Mandelbrot set was nominated as a good article, but it did not meet the good article criteria at the time (March 9, 2007). There are suggestions below for improving the article. If you can improve it, please do; it may then be renominated.

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Pseudocode error

There seems to be a problem with the pseudocode.

 while ( x*x + y*y <= (2*2)  AND  iteration < max_iteration )

Only the first couple pixels will succeed this comparison. At pixel (1,2) for example, the equation will be: (1)*(1) + (2)*(2) <= (2*2), which of course fails the comparison.

151.112.23.68 (talk) 19:21, 29 January 2009 (UTC)[reply]

x and y are not pixel counts, they are the horizontal and vertical coordinates of a pixel. The whole M. set is within the range -2<x<1 and -1<y<1 and only your chosen pixel resolution limits the number of pixels within the set. Cuddlyable3 (talk) 21:13, 29 January 2009 (UTC)[reply]

I agree, this is very confusing. Maybe the range should be clarified? --xAXISx (talk) 23:34, 7 May 2009 (UTC)[reply]

iX for integer coordinate ( screen pixels) and rX for real coordinat ( world). HTH --Adam majewski (talk) 08:59, 17 May 2009 (UTC)[reply]

Honestly the whole pseudo-code implementation is poor quality. I'd suggest writing the algorithm out using complex primitives which would make the whole thing a lot clearer. —Preceding unsigned comment added by 208.103.225.213 (talk) 05:12, 17 May 2009 (UTC)[reply]

another external link

I've written another Mandelbrot viewer in Flash: [1] If anyone thinks it warrants inclusion, please add it to the main page. Jamo777 (talk) 17:16, 14 February 2009 (UTC)[reply]

Boundaries

What are the extreme values of the real and imaginary components of the points contained in the set? Lucas Brown (talk) 02:25, 22 March 2009 (UTC)[reply]

Do you mean root point and apex point ? Informations about boundaries of hyperbolic components :

--Adam majewski (talk) 06:59, 22 March 2009 (UTC)[reply]

What do you mean by "root point" and "apex point?" Lucas Brown (talk) 04:19, 27 March 2009 (UTC)[reply]

Root and apex point are points where 2 hyperbolic components meet. (It is not precise definition) WHen you analyse components on real axis then root and apex point are extreme real values for this component.--Adam majewski (talk) 09:15, 28 March 2009 (UTC)[reply]

In that case, yes. Lucas Brown (talk) 20:36, 28 March 2009 (UTC)[reply]

Much too technical language used in the article

In my opinion, this article is written in a much too technical language to be readliy understood by people with a general education. The opening pargraph of the article reads: "the set of complex values of c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded". I have more education in mathematics than most people, and still that does not tell me very much about what the Mandelbrot fractal really is. The first paragraph of any article on wikipedia must be understandable by the average generally-educated internet-literate user, or it will not be interesting to anyone but a select few. For example, phrasings like: $M=\left\{c\in \mathbb {C} :\sup _{n\in \mathbb {N} }|P_{c}^{\circ n}(0)|<\infty \right\}.$ are not likely to be readily understood by anyone who does not have a degree, not only in mathematics, but specifically in set theory. My experience is that people who hold university degrees in certain subjects rarely cite wikipedia in their academic work.

For anyone who is interested in learning about this subject in a more pedagogic way: [2] 83.209.10.168 (talk) 22:04, 27 May 2009 (UTC)[reply]

The Fractal article is better for a non-specialist reader. This wikibook that needs work should approach the subject in a more tutorial way. Wikipedia being a tertiary source is not well suited to citing in academic articles but in my experience is one of the best sources of secondary sources. Cuddlyable3 (talk) 09:54, 28 May 2009 (UTC)[reply]

About math eqations. I think that below such equation should be an expanation in simple language. Such 2 ways of presentation of ideas can be good. --Adam majewski (talk) 12:09, 29 May 2009 (UTC)[reply]

An anonymous user has added C-code to the article. I think the pseudocode alone is adequate to explain the iteration and that actual software is better placed in this wikibook. Wikipedia is not a software repository. Does anyone think the C-code should be kept in the article? Cuddlyable3 (talk) 14:06, 31 May 2009 (UTC)[reply]

Fractal or not?

I am far from beeing a mathematician but I may have found a discrepancy between the english and the german article. The english claims that the boundary of a Mandelbrot set forms a fractal while the german one claims that it is not.

Since the term fractal was coined by Benoit Mandelbrot the germans have some explaining to do. Cuddlyable3 (talk) 20:18, 23 June 2009 (UTC)[reply]

Internal Distance estimation

Hi. How to expand math notation of internal distance estimation to computer program or pseudocode ? Regards --Adam majewski (talk) 19:40, 25 July 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]