File:Alg9n5.png
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Summary
[edit]DescriptionAlg9n5.png | 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) |
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Long description
[edit]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
[edit]Public domainPublic domainfalsefalse |
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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current | 17:55, 3 August 2023 | 1,000 × 1,000 (21 KB) | Obscure2020 (talk | contribs) | Optimized with OxiPNG and ZopfliPNG. | |
19:16, 24 February 2010 | 1,000 × 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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