File:Siegel disk for c = -0.749998153581339 +0.001569040474910 i.png
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DescriptionSiegel disk for c = -0.749998153581339 +0.001569040474910 i.png |
English: Siegel disk for c = -0.749998153581339 +0.001569040474910 i. Created with program Mandell by Wolf Jung. t = 0.49975027919634618290 , Iteration = 65 000. To draw critical orbit choose z= 0 then Ctrl-f. Now you have boundary of Siegel disk. Then choose point inside critical orbit manually ( with mouse ) and then Ctrl-f. You can see how period 2 repelling cycle = {z = -0.527992812851380 +0.028025773673398 i, z = -0.472007187148620 -0.028025773673398 i} ( and it's 1-arm spirals) is modelling Siegel disk. External rays 1/3 and 2/3 land on the repelling cycle. |
Date | |
Source | Own work |
Author | Adam majewski |
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I, the copyright holder of this work, hereby publish it under the following license:
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 17:29, 10 January 2017 | 2,000 × 2,000 (266 KB) | Soul windsurfer (talk | contribs) | more iterations changes the size of Julia set | |
17:12, 9 January 2017 | 1,496 × 1,496 (44 KB) | Soul windsurfer (talk | contribs) | User created page with UploadWizard |
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File usage on Commons
The following 5 pages use this file:
- File:InfoldingSiegelDisk1over2.gif
- File:InfoldingSiegelDisk1over2animation.gif
- File:Julia set for fc(z) = z*z+c where c = -0.749998153581339 +0.001569040474910*I; t = 0.49975027919634618290.png
- File:Julia set for fc(z) = z*z+c where c = -0.749998153581339 +0.001569040474910*I; t = 0.49975027919634618290 with orbits.png
- File:Siegel disk and external rays for fc(z) = z*z+c where c = -0.749998153581339 +0.001569040474910*I; t = 0.49975027919634618290.png
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Horizontal resolution | 37.8 dpc |
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Vertical resolution | 37.8 dpc |