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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.physics.relativity,sci.physics,sci.math
Subject: Re: Rotation Bifurcation...
Date: Sun, 31 Mar 2024 15:07:50 -0700
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In-Reply-To: <uucks4$u0v1$1@paganini.bofh.team>

On 3/31/2024 2:33 PM, Randy Babeshko wrote:
> Chris M. Thomasson wrote:
> 
>>> expect magic. "it looks like a cylinder" lol.
>> [...]
>>
>> Have you tried to recreate my bifurcation diagram IFS for yourself?
> 
> what are you using for bifurcation and do you discretize, what schemes? I
> guess you start with a differential math expression then discretize.

I gave you the IFS I created for it:

______________
// 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);
______________

Give it a go.