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❤️ Click here: Buddhabrot

There are some notes there which answers your questions. The Butterbrot section has already been removed. Please refer to our and or for more details.

These edge effects are not part of the underlying mathematical object any more than are artifacts created by sampling from too small of a spatial domain. Robert Munafo's home pages on © 1996-2018 Robert P. Another component to the weights is core. I also set the first bin of the histogram to zero — this is to negate the large amount of black background which would otherwise ruin the equalization effect.

Buddhabrot - Buddhabrot is an interesting aside and a merge would give it weight. If you find c's such that the n-th iteration is eventually mapped to zero, you get points that are inside the M set but accumulate eventually at the boundary check a poster I presented, you can find it at www.

The axes can be chosen arbitrarily anyway; the choice of the buddhabrot does not make one buddhabrot more correct or more original than any other. Or is it really stated anywhere, that the real axis buddhabrot be horizontal and the imaginary one vertical?. You are right that it is arbitrary, but it is a pretty strong convention. I hardly could stop laughing. To us, it's a kind of an embedded. Fortunately, Green and Gardi are still alive, and so we can ask buddhabrot whether they knew about the embedded pun when Gardi coined the name and Green adopted it. All it is is a form of rendering. I hate to think how a true layman would cope. Can someone attempt to elaborate a bit on the rendering method, perhaps by turning it into pseudocode or a simple algorithm. Then for this c, everytime the succession hits a particular pixel, the corresponding element in the matrix is added one unit. In the end, you work with the set of matrices and a color algorithm to produce your coloring. Either way, I'm also very interesting in really understanding what's going on and I certainly think the article needs a clearer text. By corresponding element I mean exactly the same: for each point, there buddhabrot a matrix whose elements are in one-to-one correspondence to the screen pixels. So for this point's matrix, the element that correspond to the pixel that contains the point 1 + 0 i pixel 1, 0 is incremented, as are those elements corresponding to the values 2 + 0 i 2, 05 + 0 i 5, 0etc. I'm not a mathematician myself, so it's hard for even me to explain. buddhabrot It's not clear from the wording at the moment. Daniel Green underwent a sex change and now goes by Melinda Green. I have clarified this in the article. Lets be good sports about this. Melinda Green did not do what is claimed here, since she was not Melinda Green. The situation is no different than a reference to activities of a now-married woman before her name was changed. In 1988 Linas Vepstas relayed images buddhabrot the Buddhabrot to Cliff Pickover for inclusion in Pickover's forthcoming book Computers, Pattern, Chaos, and Beauty. This led directly to the buddhabrot of Pickover stalks. These researchers did not filter out non-escaping trajectories required to produce the ghostly forms typically reminiscent of Hindu art. It makes it sound like they were looking for the Buddhabrot technique. I presume they were just trying things and they came close to producing the Buddhabrot but didn't. There might be better descriptions but this resolves buddhabrot contradiction. Therefore, a natural way of coloring is to use a color map of the complex plane, then do successive iterations and pile color information in the overlay image. Through this You can track to some extent, which points from the original complex plane result in which structures in the buddhabrot fractal. In order to obtain a good image, one uses minuite random fluctuations in the starting point positions so that several passes enable to generate a stable image. Using this technique with all points, here's a first result: have a look at wkw gruppe fraktale. At best, I think the idea of moving the pixels of an image under the control of a fractal function deserves it's own parallel page. Also, the suggestion of randomizing initial points taken from a grid is not really an improvement over sampling completely random points. My inclination is to simply remove this section as not buddhabrot adding much to the particular topic but I thought I'd best declare my intent here to give others a chance to weigh in first. If nobody says anything in a month or two then I'll do that. I also removed redundant images and the text describing impressions of similarity to faces and viscosity. This is not exactly true. Since the first iteration, which is used to check whether the sample escapes buddhabrot not, yields the exact same results as the second iteration, which is used to plot its path, one could just buffer the series of Z during the first iteration and use the buffer to plot the path if the sample escapes. I'm using this in my application and it works just fine - no need to do the same work twice. Of the three references two refer to it as Buddhabrot and the first is its initial announcement before it had been given a name. The other external links also confirm that Buddhabrot is the generally accepted name. I'm a non-techie,but everywhere buddhabrot, such progressions are depicted in ascending order, with the first image showing the lowest number of iterations, and succeeding images showing the emerging Set as the iterations become more numerous. I can't see why this is reversed here. Once again, I'm a non-techie, but this one puzzles me. I can't see why it's back to front either so I reversed it. Now it's in the order 20, 100, 1000, 20000, 1000000. When the number of iteration it takes for a point c to escape becomes very large, it can also be interesting to buddhabrot it and look at the trajectory of that point alone since it buddhabrot generate some interesting shapes. The first regards filtering out portions of the trajectory data. From my direct experience it initially seems like a good idea to filter out what appears to be data that is redundant to more than one color channel. These edge effects are not part of the underlying mathematical object any more than are artifacts created by sampling from too small of a spatial domain. His second point is regarding the interesting trajectories that some initial points generate. It is true that some trajectories are fascinating to observe in isolation, buddhabrot this has nothing to do with the Buddhabrot technique any more than it does for the Mandelbrot set. The edge effects are the whole point of using this rendering technique, so they are definitely not artifacts I suppose you took a look at the in the reference. I think the rendering technique is a nuance of the Buddhabrot at least as much as the Nebulabrot is and that it therefore makes sense to have it there, and that it is an interesting addition to the article. If you still want it removed, you can perhaps see if you can find a Wikipedia clause that forbids it being there, since we don't seem to agree on this point. However, in the mean time, I will bring it back again. I can maybe agree with what you say about the second point so therefore I won't buddhabrot that back. Second, there any number of buddhabrot tweaks that some people will find interesting but that doesn't make them pertinent either. You are right that the nebulabrot is also a kind of tweak with subjective results. The thing that I believe makes the nebulabrot and Buddhagram variations pertinent to the Buddhabrot is that I am the inventor of all of these techniques and I feel that gives me a bit more license to decide what is buddhabrot. I am glad that you are looking for interesting extensions to my methods and I encourage you to publish them independently, but please not on the Buddhabrot page. I buddhabrot the fact that there is a section in the article called Nuances kind of invites people to add tweaks, and I guess I was surprised and didn't really understand why my addition of a tweak was removed from the article. If you say there buddhabrot many other tweaks that people will find interesting and you want to keep the article as 'clean' as possible, I understand buddhabrot respect that. In that case we should make it clear what kind of nuances that are acceptable and why for example the Nebulabrot qualifies and some other methods don't. It is pretty clear that the object is not notable from the point of view of Mathematics, so how does this notability arise. The article currently gives the impression that this is buddhabrot an object that was generated by hobbyists playing around with algorithms for generating the Mandelbrot set, and that they found aesthetically pleasing. There is, of course, nothing wrong with that, and this doesn't exclude notability. The question is, what distinguishes the object from hundreds of other objects that have likely been discovered in a similar way. Are there secondary articles discussing it, or has it been influential in e. Are there serious secondary sources treating it. Is the notability established in some other way. This doesn't seem apparent from the article or its sources. Does it need to be published in Nature before it meets your threshold. What is your issue exactly. Please find one from the following list that meets your criteria, add it as a reference, and remove the unnecessary notability tag. I have not suggested the article for deletion or anything of the kind. I simply felt - and still feel - that the notability has not been established. I read the notability guidelines before I tagged the article, and Buddhabrot have seen nothing in there that suggests that being referenced in some published work is sufficient to establish notability - instead, one should weigh the reliability of sources etc. There are many other interesting topics that I don't feel would meet the notability guidelines - I would class most of my own theorems and definitions within this category, although I could likewise cite 'secondary sources' that mention them. I thought it would be possible to have a factual discussion about the topic here, but it feels almost as though some people are somehow personally invested in the topic. I am indeed a professional mathematician, but I don't see how that is relevant. I can speak to the fact that this object is not notable within mathematics - in fact, I am not sure that there is a precise mathematical object that is being represented by the image, given that the image depends on various parameters that can be chosen in a non-canonical way. However, the image is definitely beautiful, and it was inspired by mathematics, which is great. My question was, and still is, what the evidence for its notability is. This is not clear from the article. In my view the citations currently given are a little bit dubious - at least one of them itself refers back to Wikipedia, buddhabrot suggests some issues. I'm not interested in killing this article, or to pick a fight. I'm simply asking for buddhabrot to explain to me and other potential readers what the notability of the subject is. buddhabrot If a sensible discussion cannot be had, and you resort to ad hominem responses rather than discussing the subject, then I'm perfectly happy buddhabrot go away. None of the papers listed have many citations themselves, the maximum seems to buddhabrot three. Also note the circular reference to this page in the paper Those papers also seem to generalise buddhabrot method, the hit counting aspect of the methods is perhaps its biggest contribution. Your argument that it is not notable in mathematics ignores the fact that it is, in fact, noted in several secondary sources by people who would probably call themselves mathematicians. It is receiving new and additional attention as evidenced by the 2012 and 2013 research, making it notable, by definition. And yes, perhaps some of the sources in the Google scholar search are not reliable - no surprise there, but let's not straw man. Also, on I don't see anything about the buddhabrot of citations necessary to establish notability, just that there is editorial review which is the case for any peer-reviewed journal. Regarding international media coverage, while I buddhabrot a reference to this fractal in Tricycle Volume 15 Issue 3-4 the most popular Buddhist periodical publicationthis buddhabrot is clearly less notable than, say, the Mandelbrot or Julia fractal. That aside, in my opinion the notability could be established purely from the perspective of this being a piece of mathematical art see e. I read well before raising the buddhabrot, and in turn would ask that you readand read what I actually wrote rather pre-judging my motives. I realize that application of this policy is rarely black-and-white, and different editors can take a more or less inclusive point of view. Being buddhabrot in several secondary buddhabrot by people who would probably call themselves mathematicians' is too weak a justification, because it applies to almost anything ever dreamed up in mathematics buddhabrot things that are not considered notably even within mathematics, or have turned out to be totally wrong. The reason why I referred you to is that notability is used to make sure 'that we're not passing along random gossip, perpetuating hoaxes, or posting indiscriminate collections of buddhabrot. Notability is not decided by anything other than having reliable sources that cover the buddhabrot. If you have things that are dreamed up by mathematicians, have significant coverage, and have reliable sources, they do in fact warrant an article buddhabrot per Wikipedia policy. Which is fine, the policy was never intended to be absolute, but to be implemented through discussions such as this one. The image that you get from the method described in the article depends on the resolution you use for your pixel, and how many iterations are computed. For pictures of the Mandelbrot set and Julia sets, there is a limit object that these images are approximating. It is not clear that there is any such corresponding object for the 'Buddhabrot'. There is currently no mathematical theory of the Buddhabrot including in the articles that have been referenced by you. If you search on mathscinet 'Mathematical Reviews' on the net for 'buddhabrot', there are no results. Taking everything together, there is conclusive evidence that the 'Buddhabrot' is not a notable object in mathematics at the present time. The mathematical definition of this set is: let C be an approximation of the converse of the Mandelbrot set, and define a grid spacing buddhabrot x, delta y and a number of iterations m. Let F C,i,j be the number of times the grid box i,j is visited as the set C is iterated through the Mandelbrot iteration m times. Now define the set B to be the limit of G C as C goes to converse of the Mandelbrot set, delta x and delta y goes to buddhabrot, and m goes to infinity. The Buddhabrot set is the set of all non-zero elements within B. So there's your mathematical definition of the set right there. An image is an image, and should buddhabrot be confused in any way with the underlying set. A Mandelbrot or Julia set image also depends upon the resolution you use for your pixel and how many iterations are computed. Furthermore, your statement about the mathematical theory of the Buddhabrot being lacking and the search on mathscinet coming up empty is nothing more than a lack of evidence of notability, certainly not the evidence of a lack. Indeed, as you have written it without requiring any particular properties of the 'approximation', it almost certainly does not exist. For the set called buddhabrot 'Anti-Buddhabrot' in the article, it is somewhat easier to imagine what the object might be: presumably an average of all the possible physical measures for the maps in the interior of the Mandelbrot set. Again, it is far from clear that this gives something non-singular. There are lots of buddhabrot points here, but we are not trying to do original research on the 'Buddhabrot'. If you have a reference that seriously discusses a mathematical object that the 'Buddhabrot' is approximating, then feel free to post it, and I will take a look at it. I would think that the limit not existing would be a far more interesting result than it actually existing. This is original research, but hey, this is buddhabrot talk page. Given a set of rendering parameters, the images develop much like a photographic image, and appear to converge on a final image, though I doubt that has been proven. The images are density maps of where trajectories prefer to buddhabrot their time before escaping. It is notable for 1 being buddhabrot alternative rendering method as valid as the one normally associated with the Mandelbrot set, 2 for its beauty and surprising similarity to Hindu buddhabrot art, and 3 for the interest it generates in both computer science and spiritual communities. The citations from books that you list are promising - I still buddhabrot they are a little bit on the thin side, and it would be good to buddhabrot some stronger evidence, but it is a start. I think it would be good buddhabrot include these sources in the article, and to clarify the role that the Buddhabrot has as mathematical art. Well, I suppose then we can agree on something. Buddhabrot is notable from several buddhabrot, and would appreciate it if you would add in the art references you find appropriate. If not, I can do buddhabrot as well. The section about the similarity between the name and the word 'Butterbrot' looks particularly out of place, but the discussion regarding the logistic family also is rather unclear. I'm happy to have a go at revising the article sometime in the near future, but my feeling is that I would remove more than some editors would be happy with. The Butterbrot section has already been removed. By all means feel free to have a buddhabrot at revising the article. Likewise I will also be bold in making sure you do not remove anything that is not original research. A reveals 142,000 results, of which most are hobbyist websites. I am always appreciative when an tries buddhabrot improve Wikipedia articles. buddhabrot By the way, the stuff about 'Butterbrot' was recently removed by. As an even more minor point, Oscar Wilde wrote and not. This article is notable no matter how you look buddhabrot it. The Buddhabrot set is in fact another way of visualizing the Mandelbrot set that is as canonical as one could ask for. In fact, buddhabrot article buddhabrot be merged into the Buddhabrot fractal page, but this buddhabrot likely lead to confusion, and since there is significant coverage of this method on its own, and we all agree it is at least notable as mathematical art, I recommend we keep the article as is without any notability tag. Let's instead direct our efforts to improving the page itself and possibly improving the mathematical theory in our own private lives. So too is an expert in mathematics. buddhabrot In fact, I seem to be the only person who is not and expert here. I do think this article is quite notable just that it seems to me more notable in mathematical art than mathematics. I agree that our efforts should be directed to improving the page itself. Personally, I would be fine if it were merged into the article although the said article may get too buddhabrot. I would prefer that the article stays, though, and agree with 's recommendation that it stay here without the notability tag. Buddhabrot is an interesting aside and a merge would give it weight. A white image is all that is displayed when I click for a larger version. Would it be inappropriate for me to replace them with my own, non-white versions. Buddhabrot put up equivalent images with the same iterations and all. Or is there a way to restore the originals back. Most web browsers have a white background so it ends up being white against white. If you view them against a black background instead it will be perfectly clear. I can change the transparent background to a black background if needed. If you want to use them as references then they should be moved to the reference section. Buddhabrot second can probably be turned into a reference for the mention of Linas Vepstas though I'm buddhabrot 100% certain the linked images are the ones being referenced. The links that you had retained seem to be simply good examples of the great many excellent implementations, modifications, renderings, and descriptions of the technique. I don't know the policy on that matter and so will differ to your judgement on that but would like to get your reasoning and guidance on how best to deal with such additions as that has been a problem in the past. Buddhabrot also probably be used as a ref if nothing better is available. I left the other two because buddhabrot are more marginal and I didn't want to remove them all. But after having another look, I think can be removed as it doesn't comply with point 1 and there are images available on Commons which is linked. I will leave the last one as it contains a link to other articles on the subject and may have more detail than would ever be in the Wikipedia article. I am currently going through a huge backlog of pages tagged as needing external buddhabrot cleanup, the oldest of which includes this page dated to August 2010. So these pages have been linked as having problems for a really long time and I feel that someone needs to just go in and be merciless in terms of what is removed. The relevant policy which should also be considered is which states that Wikipedia is not a repository for links. Feel free to use the removed links as references if possible and let me know if you want any more buddhabrot. That alone suggests to me that it does not violate but perhaps the reference is better. One thing you could help with is advising what to do with people showcasing their variations on the technique. The first reference by Buddhabrot is such an example. Complicating this is the fact that some variations seem natural such as described in the Nuances section and seem to belong here, and others do not, and often the difference seems to be in the obviously subjective beauty of the results. The problem is not as bad as it once was but I'm never sure how to approach it, perhaps because I still don't understand much of the information on external links.

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Why Buddhabrot and not the more conventional Mandelbrot? Do I just need more speedwork? Let's instead direct our efforts to improving the page itself and possibly improving the mathematical theory in our own private lives. I'll eventuallly add Radeon 290X timings. Jaguars actually have the strongest bite force of any cat, and have the 4th strongest in the animal kingdom at 1,400psi. Instead, the frequency with which the orbiting point z visits various pixels is recorded — lighter pixels have received a higher frequency of visits from z. Regarding international media coverage, while I see a reference to this fractal in Tricycle Volume 15 Issue 3-4 the most popular Buddhist periodical publication , this fractal is clearly less notable than, say, the Mandelbrot or Julia fractal. The Buddhabrot set is the set of all non-zero elements within B.

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