File:Alg9n5.png

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Summary

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Description Parameter plane colored according to sign of 5-th iteration. It uses algorithm 9, order n=5.
Source Image made with program Mandel by Wolf Jung
Author --Adam majewski (talk) 19:17, 24 February 2010 (UTC)
Permission
(Reusing this file)

This screenshot either does not contain copyright-eligible parts or visuals of copyrighted software, or the author has released it under a free license (which should be indicated beneath this notice), and as such follows the licensing guidelines for screenshots of Wikimedia Commons. You may use it freely according to its particular license. Free software license:

GNU head

This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See version 2 and version 3 of the GNU General Public License for more details.

Note: if the screenshot shows any work that is not a direct result of the program code itself, such as a text or graphics that are not part of the program, the license for that work must be indicated separately.


Long description

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Color shows in which quadrant of a Cartesian coordinate system n-th iteration lands:

  • re(z_n) > 0 and im(z_n) > 0 (first quadrant)
  • re(z_n) < 0 and im(z_n) > 0 (second)
  • re(z_n) < 0 and im(z_n) < 0 (third)
  • re(z_n) > 0 and im(z_n) < 0 (fourth).

Because there are 4 quadrants then 4 colors are used .


"... when the four colors are meeting somewhere, you have a zero of q_n(c), i.e., a center of [hyperbolic component for] period dividing n. In addition, the light or dark color shows if c is in M." ( Wolf Jung )

Licensing

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current17:55, 3 August 2023Thumbnail for version as of 17:55, 3 August 20231,000 × 1,000 (21 KB)Obscure2020 (talk | contribs)Optimized with OxiPNG and ZopfliPNG.
19:16, 24 February 2010Thumbnail for version as of 19:16, 24 February 20101,000 × 1,000 (45 KB)Soul windsurfer (talk | contribs){{Information |Description= Parameter plane colored according to 5-th iteration |Source=Image made with program Mandel by Wolf Jung |Date= |Author=<!-- software author / developer team --> |Permission={{free screenshot|license={{GPL}}}} |other_versions= }

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