File:34 ove 89 wake of Mandelbrot set.png
Summary
| Description |
English: 34 over 89 wake of Mandelbrot set |
| Date | |
| Source | made with book program by Claude Heiland-Allen[1] |
| Author | Adam majewski |
![[1]](./File:34_ove_89_wake_of_Mandelbrot_set.png#cite_note-1){kind=link}
Summary
This is numerical aproximation of rectangle part of parameter plane of complex quadratic map
Parameter plane is described using center and radius method[2] :
![[2]](./File:34_ove_89_wake_of_Mandelbrot_set.png#cite_note-2){kind=link}
center = -3.912868105763494e-01 5.8750703531203696e-01 radius = 2.2435841847477573e-03
One can see 2 external rays :
0.(01001010010010100101001001010010010100101001001010010100100101001001010010100100101001001) 0.(01001010010010100101001001010010010100101001001010010100100101001001010010100100101001010)
that land on the root point :
c_root =
of period 89 hyperbolic comonent of the Mandelbrot set, which is located at internal angle :
t = 34/89
on the boundary of main cardioid.
Here is the parameter for book program by Claude Heiland-Allen[3]
![[3]](./File:34_ove_89_wake_of_Mandelbrot_set.png#cite_note-3){kind=link}
size 1500 1500 view 53 -3.912868105763494e-01 5.8750703531203696e-01 2.2435841847477573e-03 text 53 -3.8850679170464886e-01 5.8778690906453801e-01 29/76 text 53 -3.9295862805848958e-01 5.8654640828551075e-01 34 text 53 -3.9083735476121173e-01 5.8664152432163741e-01 34/89 text 53 -3.8976432105791259e-01 5.8717038285268242e-01 21/55 text 53 -3.9257154847615527e-01 5.8578136589703722e-01 13/34 text 53 -3.8520845931151926e-01 5.8938731818075474e-01 8/21 text 53 -4.3871964861536816e-01 5.6031499408360719e-01 9/23 text 53 -4.2643426597622142e-01 5.6759574309632177e-01 7/18 text 53 -4.0438954414938139e-01 5.7973854764491106e-01 5/13 text 53 -4.8176274578121048e-01 5.3165675522002509e-01 2/5 text 53 -3.5355339059327368e-01 6.0355339059327373e-01 3/8 ray_in 2200 .(01001010010010100101001001010010010100101001001010010100100101001001010010100100101001001) ray_in 2200 .(01001010010010100101001001010010010100101001001010010100100101001001010010100100101001010) text 53 -3.9354903235723721e-01 5.8765202602839439e-01 68 text 53 -3.8990710427221476e-01 5.8746623453007119e-01 55
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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References
- ↑ book program by Claude Heiland-Allen
- ↑ wikibooks : radius and plane
- ↑ book program by Claude Heiland-Allen
