POV-Ray : Newsgroups : povray.binaries.images : Domain colors of the 7th iterate of a complex function : Domain colors of the 7th iterate of a complex function Server Time
28 Mar 2023 13:42:25 EDT (-0400)
  Domain colors of the 7th iterate of a complex function  
From: Tor Olav Kristensen
Date: 19 Jan 2022 11:45:00
Message: <web.61e83e88ef67871aba81aa7e89db30a9@news.povray.org>

At this page:


- I found some images where the author had applied the same function iteratively
on the coordinates corresponding to each pixel. This sometimes creates fractal
like shapes.

I wanted to try to do the same with my library for complex functions. The
attached image is one of the results. I'm using a different coloring scheme
than the author so the colors are not the same.

Here are the functions used for this image:

j = sqrt(-1), Z = re + im*j
G(Z) = (1 + j)*Sin(Z)
F(Z) = G^7(Z) = G(G(G(G(G(G(G(Z)))))))

re and im are the coordinates along the x- and z-axis in the plane.

If anyone is interested in the source code, it can be found here:


Tor Olav

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