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This is an old revision of this page, as edited by Davidnugget (talk | contribs) at 22:19, 8 January 2018 (→uncoloured pictures showing the set .). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Former good article nomineeMandelbrot set was a good articles nominee, but did not meet the good article criteria at the time. There may be suggestions below for improving the article. Once these issues have been addressed, the article can be renominated. Editors may also seek a reassessment of the decision if they believe there was a mistake.
Article milestones
DateProcessResult
March 9, 2007Good article nomineeNot listed

Please do not remove pseudo-code from this article.

For many people (myself included) it is easier to understand concepts expressed in pseudo-code than mathematical notation.

So far two individuals have reversed removal attempts by 84.249.83.20. Until better reasons can be given, please stop. Thank you. — Preceding unsigned comment added by 173.212.143.233 (talk) 23:02, 12 May 2016 (UTC)[reply]

Location in Article

Please feel free to give suggestions as to where the pseudo-code should be located. The section will remain collapsed by default to prevent intrusiveness. — Preceding unsigned comment added by 173.212.143.233 (talk • contribs) 00:21, 14 May 2016‎

Quality

Please feel free to give suggestions for how it could be improved if you feel it is lacking in some way.

These sources were used as guidelines on how to write good pseudocode:

— Preceding unsigned comment added by 173.212.143.233 (talk • contribs) 00:36, 14 May 2016‎

It is definitely misplaced in the lead section. But also, "The section will remain collapsed by default" violates MOS:DONTHIDE. —David Eppstein (talk) 01:55, 14 May 2016 (UTC)[reply]
I support the pseudocode removal from the lead section for those reasons, and because it's redundant. There's already sufficient pseudocode in the section Mandelbrot set#Escape time algorithm. ~Amatulić (talk) 21:02, 14 May 2016 (UTC)[reply]
I have a problem with "If the above loop never terminates return true". Even in very abstract pseudocode, I don't think you can get away with a test that cannot be implemented in any language. Gandalf61 (talk) 12:21, 15 May 2016 (UTC)[reply]
The pseudocode that remains in the article doesn't have this dubious feature. ~Amatulić (talk) 20:52, 15 May 2016 (UTC)[reply]
(Pseudocode can be seen in this revision) Jimw338 (talk) 03:43, 5 April 2017 (UTC)[reply]

Query

In technical terms this article goes way beyond my knowledge. But I can tell that it's a really first-rate article.

What I came here to find out is the potential uses of this advance in other areas, whether mathematical or further afield. But alas, there's no section briefly describing that. Tony (talk) 13:32, 28 June 2016 (UTC)[reply]

Hi @Tony1: Excellent question. Probably better asked at Wikipedia:Reference desk/Mathematics but I'll give it a shot here.
The Mandelbrot Set is an example of fractal geometric shape: an infinitely complex shape generated from an extremely simple formula. Benoit Mandelbrot, who discovered it, is credited with introducing the general concept of fractal geometry as a means to explain complex shapes in nature, such as clouds, coastlines, tree bark, and so on. The Mandelbrot Set is probably the most famous fractal, but that particular fractal doesn't really have any practical uses that I know of, other than as a pedagogical device. A related formula, the logistic map, has been used as a model of population cycles (and the nodes of the logistic map coincide with the cusps in the Mandelbrot set).
This BBC article] offers a general description of the more practical uses of fractal mathematics. That wouldn't quite be in the scope of this article, however, since this article is about one specific (and famous) fractal object. ~Amatulić (talk) 05:55, 29 June 2016 (UTC)[reply]
Update: I found another one that actually shows relationships between real-world phenomena and the Mandelbrot Set here: http://www.sgtnd.narod.ru/science/complex/eng/main.htm -- not easy to understand, but one can get the general idea. ~Amatulić (talk) 06:03, 29 June 2016 (UTC)[reply]
Thanks for this. BBC article a little non-specific about the spin-offs (earthquakes, but ... how?). The other link pretty hard to understand, though, for anyone but an expert. But the beauty arising from simplicity is possibly enough to behold! Tony (talk) 07:27, 29 June 2016 (UTC)[reply]
My favorite natural fractal that actually looks like a geometric shape, rather than a random thing like a cloud or a coastline, is Romanesco broccoli. I recall reading an article in which someone came up with a 3-dimensional formula to replicate that fractal shape. Unfortunately the Wikipedia article doesn't link to that paper. ~Amatulić (talk) 07:36, 29 June 2016 (UTC)[reply]

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File:Mandelbrot sequence new.gif to appear as POTD soon

Hello! This is a note to let the editors of this article know that File:Mandelbrot sequence new.gif will be appearing as picture of the day on June 15, 2017. You can view and edit the POTD blurb at Template:POTD/2017-06-15. If this article needs any attention or maintenance, it would be preferable if that could be done before its appearance on the Main Page. — Chris Woodrich (talk) 01:33, 3 June 2017 (UTC)[reply]

Mandelbrot zoom sequence
A zoom sequence illustrating the set of complex numbers termed the Mandelbrot set. Images of the set, which was defined and named by Adrien Douady in tribute to the mathematician Benoit Mandelbrot, may be created by sampling the complex numbers and determining whether the result of iterating for each sample point goes to infinity. Images exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications. Consequently, the Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from the application of simple rules.Animation: Simpsons contributor
Archive – More featured pictures...
Its lovely, a great example of infinity visualised. Would the addition of one more link be inappropriate? I wanted to suggest changing the text from created to generated and adding the link to Fractal-generating software. - Shiftchange (talk) 06:30, 3 June 2017 (UTC)[reply]

Mandelbrot Curves in Desmos

In case anyone finds this useful, I have plotted the first few Mandelbrot curves on the website Desmos. --  Denelson83  04:18, 25 July 2017 (UTC)[reply]

False statement removed from an image caption

The following picture under the tile 'Relationship with Julia sets' has had the following label: 'A zoom into the Mandelbrot set illustrating a Julia "island" and the corresponding Julia set of the form , in which c is the center of the Mandelbrot set zoom-in'

This statement is false. Obviously so, in fact, as the Julia island is surrounded by projections which are characteristic of the right side of Seahorse Valley, while the Julia set is generated from the left side of the valley. The creator of the picture, Simpsons contributor, only mentions that the Julia set 'corresponds' to the Julia island in the picture above it, which is centered at -0.743643887037151 + 0.131825904205330i. He makes no claim that it is generated from its center point.

The anon that originally edited it out was right, the Julia set at -0.743643887037151 + 0.131825904205330i truly is connected, and looks like the image below.

Julia Set at -0.743643887037151 + 0.131825904205330i

Please do not revert the page back to the false statement again.

Starprizm (talk) 04:32, 17 December 2017 (UTC)[reply]

uncoloured pictures showing the set .

Is there a corresponding collection somewhere of uncoloured pictures? I would like to be able to see what the set itself looks like! Davidnugget (talk) 20:36, 8 January 2018 (UTC)[reply]

Not specifically, but if you follow the "commons" link at the bottom of the article you will find some mixed among the colored ones. —David Eppstein (talk) 20:39, 8 January 2018 (UTC)[reply]

Thanks, but I suppose I was being sarcastic that the article effectively has no detailed pictures of the set at all. Maybe it should be retitled. Davidnugget (talk) 22:18, 8 January 2018 (UTC)[reply]

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