m-streching-feigenbaum from mandelbrot-graphics library by Claude

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Offline Adam Majewski

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« on: September 14, 2019, 03:56:59 PM »
Hi,

I can use c program
https://code.mathr.co.uk/mandelbrot-graphics/blob/HEAD:/c/bin/m-stretching-feigenbaum.c

to create image out.png

It works well, shows components of Mandelbrot set from right :
  • main cardioid (period 1)
  • period 2
  • period 4
  • period 8
  • period 16
  • period 32
  • ...
transformed to make all have the same size

When I try to show more components of period doubling cascade ( out3000.png) I increase w to 3000 ( from the initial 1500)
It works , but main cardioid moves to the right  and left part of the image is empty.
How can I move it to the right?

TIA


Linkback: https://fractalforums.org/programming/11/m-streching-feigenbaum-from-mandelbrot-graphics-library-by-claude/3077/

Offline claude

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« Reply #1 on: September 14, 2019, 10:38:39 PM »
I guess something like replacing -2.5 on line 17 with -5.0, might work.  May need fine tuning.  Should really be some expression using w and h and r.

Offline Adam Majewski

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« Reply #2 on: September 15, 2019, 07:16:21 AM »
with some rays:

also https://commons.wikimedia.org/wiki/File:Feigenbaum_stretch.png

( sorry for bad code, but I have problems with compiling library, and with pari library )
« Last Edit: September 15, 2019, 07:55:25 AM by Adam Majewski, Reason: link »



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