• September 26, 2022, 12:41:08 PM

Author Topic:  Rotation Bifurcation...  (Read 161 times)

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Offline Chris_M_Thomasson

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Rotation Bifurcation...
« on: May 27, 2021, 06:55:48 AM »
Here is a youtube link to the result of a highly experimental iterated function system of mine that creates many fractal bifurcation diagrams locked in the unit square.

EDIT to use the darn youtube tag:


Afaict, the animation makes it appear as if everything is rotating around a cylinder. Here is some pseudo-code of my IFS that was used to create this animation:
______________
// px_mutation interpolates from -4...4 across each frame; 1440 here.

render frames:
_________
// angle interpolates from 0...pi2 across iterations
// px = py = 0

// Iteration:
px = sin(angle * px_mutation);
py = cos(angle * py);
______________

Plot every pixel in the ifs. Actually, I am adding color to each pixel visited during iteration.

Can you recreate it on your end? Thanks.

Linkback: https://fractalforums.org/index.php?topic=4230.0
« Last Edit: May 27, 2021, 09:27:06 AM by Chris_M_Thomasson »
It's a Fractal Life, 247... ;^)

Offline Chris_M_Thomasson

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Re: Rotation Bifurcation...
« Reply #1 on: May 27, 2021, 09:25:55 AM »
Argh. I did not even notice the youtube tag! Let's see here:



clip
Camera2D rotation and skew

Started by claude on Fragmentarium

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xx
Rotation Mutation (0.0.1)...

Started by Chris_M_Thomasson on Fractal movie gallery

2 Replies
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Last post June 19, 2022, 12:54:20 AM
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xx
Menger sponge and T Rotation Folding

Started by Nintendokater on Fractal movie gallery

1 Replies
228 Views
Last post February 23, 2019, 05:08:29 AM
by Tas_mania
clip
rendering bifurcation diagrams

Started by claude on Fractal Mathematics And New Theories

11 Replies
1093 Views
Last post December 09, 2018, 07:50:56 AM
by hgjf2
clip
1D Bifurcation chaos

Started by Mr.Ed on Noob's Corner

2 Replies
322 Views
Last post June 05, 2020, 05:27:44 PM
by Mr.Ed