POV-Ray: Newsgroups: povray.binaries.images: Domain colors of the 7th iterate of a complex function

POV-Ray : Newsgroups : povray.binaries.images : Domain colors of the 7th iterate of a complex function		Server Time 5 Nov 2024 22:24:00 EST (-0500)

From: Tor Olav Kristensen
Subject: Domain colors of the 7th iterate of a complex function
Date: 19 Jan 2022 11:45:00
Message: <web.61e83e88ef67871aba81aa7e89db30a9@news.povray.org>

Hi

At this page:

https://www.jedsoft.org/fun/complex/gallery.html

- 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:

https://github.com/t-o-k/POV-Ray-complex-functions/blob/main/Examples/Iterated_Sine.pov

--
Tor Olav
http://subcube.com
https://github.com/t-o-k

Post a reply to this message

Attachments:
Download 'iterated_sine.png' (558 KB)

Preview of image 'iterated_sine.png'