A strange bifurcation algorithm from an older iterated function system
of mine:

https://youtu.be/XKhS_nklCkE

My pseudo code is in the description:

______________
// 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);
______________

Anybody should be able to reproduce it on their end. Right?

It's all 2d, but has a 3d vibe! Nice.

Any thoughts?

Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
> A strange bifurcation algorithm from an older iterated function system
> of mine:
>
> https://youtu.be/XKhS_nklCkE
>
> My pseudo code is in the description:
>
> ______________
> // 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);
> ______________
>
> Anybody should be able to reproduce it on their end. Right?
>
> It's all 2d, but has a 3d vibe! Nice.
>
> Any thoughts?

Maybe add audio?

https://www.youtube.com/watch?v=-T1tMQaZCtw

On 3/29/2024 8:24 PM, Chris M. Thomasson wrote:
> A strange bifurcation algorithm from an older iterated function system
> of mine:
>
> https://youtu.be/XKhS_nklCkE
>
> My pseudo code is in the description:
>
> ______________
> // 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);
> ______________
>
> Anybody should be able to reproduce it on their end. Right?
>
> It's all 2d, but has a 3d vibe! Nice.
>
> Any thoughts?

It looks like a fractal version of an optical illusion of whether a
cylinder (with the fractal on it) is rotating in one direction or the other.

On 3/29/2024 10:13 PM, sobriquet wrote:
> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>> A strange bifurcation algorithm from an older iterated function system
>> of mine:
>>
>> https://youtu.be/XKhS_nklCkE
>>
>> My pseudo code is in the description:
>>
>> ______________
>> // 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);
>> ______________
>>
>> Anybody should be able to reproduce it on their end. Right?
>>
>> It's all 2d, but has a 3d vibe! Nice.
>>
>> Any thoughts?
>
>
> Maybe add audio?
>
> https://www.youtube.com/watch?v=-T1tMQaZCtw

Oh, that would be interesting. Humm... I have some older wave code of
mine along with MIDI. Ummm. Well, I get nervous when I mess around with
my wav code because it can destroy speakers and/or eardrums! Fwiw, here
is some of my music, there is one of wavs in there. Can you find where
it starts?

https://youtu.be/DrPp6xfLe4Q

There is one wav form, all the rest is MIDI. :^)

On 3/30/2024 9:18 AM, Volney wrote:
> On 3/29/2024 8:24 PM, Chris M. Thomasson wrote:
>> A strange bifurcation algorithm from an older iterated function system
>> of mine:
>>
>> https://youtu.be/XKhS_nklCkE
>>
>> My pseudo code is in the description:
>>
>> ______________
>> // 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);
>> ______________
>>
>> Anybody should be able to reproduce it on their end. Right?
>>
>> It's all 2d, but has a 3d vibe! Nice.
>>
>> Any thoughts?
>
> It looks like a fractal version of an optical illusion of whether a
> cylinder (with the fractal on it) is rotating in one direction or the
> other.

Notice the alpha blend where we can see through the illusion of a 2d
plane looking 3d even with a completely 2d IFS? I did some simple 3d
volumetric protrusions of it. Well, it looks like some sort of strange
helix curve. px_mutation going from -4...4 across the frames (1440) here
is the main animation driver, so to speak. when px_mutation hits zero,
the plane is on edge where we can see a thin vertical line. In the
volumetric we can see how its a plane because we can move the camera
around it. You can see this moment right around this time:

https://youtu.be/XKhS_nklCkE?t=29

Chris M. Thomasson wrote:

> On 3/30/2024 9:18 AM, Volney wrote:
>> It looks like a fractal version of an optical illusion of whether a
>> cylinder (with the fractal on it) is rotating in one direction or the
>> other.
>
> Notice the alpha blend where we can see through the illusion of a 2d
> plane looking 3d even with a completely 2d IFS? I did some simple 3d
> volumetric protrusions of it. Well, it looks like some sort of strange
> helix curve. px_mutation going from -4...4 across the frames (1440) here
> is the main animation driver, so to speak. when px_mutation hits zero,
> the plane is on edge where we can see a thin vertical line. In the
> volumetric we can see how its a plane because we can move the camera
> around it. You can see this moment right around this time:
> https://youtu.be/XKhS_nklCkE?t=29

so you are scratching the shit out, you don't know what you do, and expect
magic. "it looks like a cylinder" lol.

‘𝗢𝗱𝗲𝘀𝘀𝗮_𝘄𝗶𝗹𝗹_𝗳𝗮𝗹𝗹’,_𝗠𝘂𝘀𝗸_𝘄𝗮𝗿𝗻𝘀_𝗨𝗸𝗿𝗮𝗶𝗻𝗲
Kiev should pursue a “negotiated settlement” with Moscow before it loses
all access to the Black Sea, the billionaire has argued
https://www.%72t.com/news/595173-musk-odessa-ukraine-warning/

Musk = CIA = Message to Z. Surrender.

𝗥𝘂𝘀𝘀𝗶𝗮_𝗱𝗲𝘀𝘁𝗿𝗼𝘆𝘀_𝘁𝗵𝗿𝗲𝗲_𝗨𝗸𝗿𝗮𝗶𝗻𝗶𝗮𝗻_𝘄𝗮𝗿𝗽𝗹𝗮𝗻𝗲𝘀_-_𝗠𝗼𝗗
The Russian armed forces say they targeted three Su-25s in Nikolaev
https://www.%72t.com/russia/595181-su-25-jets-nikolaev/

Happy Eoster! 👏👏👏

We want the f16 and f35! 50 years old F-16 didn't brought victory for NATO
retards in Vietnam and Afghanistan either !

the locals will be saying, the headache waiting for the Russian missiles
to arrive was getting to much.

Russian people is smashing and destroying those NATO retards ! Same as
they did in Stalingrad, Kursk, Berlin and in Vietnam !

On 3/31/2024 4:51 AM, Shayne Tai Kwan wrote:
> Chris M. Thomasson wrote:
>
>> On 3/30/2024 9:18 AM, Volney wrote:
>>> It looks like a fractal version of an optical illusion of whether a
>>> cylinder (with the fractal on it) is rotating in one direction or the
>>> other.
>>
>> Notice the alpha blend where we can see through the illusion of a 2d
>> plane looking 3d even with a completely 2d IFS? I did some simple 3d
>> volumetric protrusions of it. Well, it looks like some sort of strange
>> helix curve. px_mutation going from -4...4 across the frames (1440) here
>> is the main animation driver, so to speak. when px_mutation hits zero,
>> the plane is on edge where we can see a thin vertical line. In the
>> volumetric we can see how its a plane because we can move the camera
>> around it. You can see this moment right around this time:
>> https://youtu.be/XKhS_nklCkE?t=29
>
> so you are scratching the shit out, you don't know what you do, and expect
> magic. "it looks like a cylinder" lol.
[...]

Have you tried to recreate my bifurcation diagram IFS for yourself?

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.

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.

Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
> A strange bifurcation algorithm from an older iterated function system
> of mine:
>
> https://youtu.be/XKhS_nklCkE
>
> My pseudo code is in the description:
>
> ______________
> // 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);
> ______________
>
> Anybody should be able to reproduce it on their end. Right?
>
> It's all 2d, but has a 3d vibe! Nice.
>
> Any thoughts?

I hope I can find a more suitable way to plot a bifurcation
diagram parametrically in desmos...

https://www.desmos.com/calculator/js1vnbbjjb

On 3/29/2024 10:13 PM, sobriquet wrote:
> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>> A strange bifurcation algorithm from an older iterated function system
>> of mine:
>>
>> https://youtu.be/XKhS_nklCkE
>>
>> My pseudo code is in the description:
>>
>> ______________
>> // 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);
>> ______________
>>
>> Anybody should be able to reproduce it on their end. Right?
>>
>> It's all 2d, but has a 3d vibe! Nice.
>>
>> Any thoughts?
>
>
> Maybe add audio?
>
> https://www.youtube.com/watch?v=-T1tMQaZCtw

Kind of creepy:

https://youtu.be/yZbO0314gRo

On 3/31/2024 10:13 PM, sobriquet wrote:
> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>> A strange bifurcation algorithm from an older iterated function system
>> of mine:
>>
>> https://youtu.be/XKhS_nklCkE
>>
>> My pseudo code is in the description:
>>
>> ______________
>> // 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);
>> ______________
>>
>> Anybody should be able to reproduce it on their end. Right?
>>
>> It's all 2d, but has a 3d vibe! Nice.
>>
>> Any thoughts?
>
> I hope I can find a more suitable way to plot a bifurcation
> diagram parametrically in desmos...
>
> https://www.desmos.com/calculator/js1vnbbjjb

Actually my parametric IFS is a parametric bifurcation diagram. The hot
spots plotted during iteration shows things off quite well. Think of
adding a little bit of color to each point that is visited during
iteration. The points with the highest colors is the main bifurcation plot.

On 3/30/2024 1:16 PM, Chris M. Thomasson wrote:
> On 3/29/2024 10:13 PM, sobriquet wrote:
>> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>>> A strange bifurcation algorithm from an older iterated function
>>> system of mine:
>>>
>>> https://youtu.be/XKhS_nklCkE
>>>
>>> My pseudo code is in the description:
>>>
>>> ______________
>>> // 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);
>>> ______________
>>>
>>> Anybody should be able to reproduce it on their end. Right?
>>>
>>> It's all 2d, but has a 3d vibe! Nice.
>>>
>>> Any thoughts?
>>
>>
>> Maybe add audio?
>>
>> https://www.youtube.com/watch?v=-T1tMQaZCtw
>
> Oh, that would be interesting. Humm... I have some older wave code of
> mine along with MIDI. Ummm. Well, I get nervous when I mess around with
> my wav code because it can destroy speakers and/or eardrums! Fwiw, here
> is some of my music, there is one of wavs in there. Can you find where
> it starts?
>
> https://youtu.be/DrPp6xfLe4Q
>
> There is one wav form, all the rest is MIDI. :^)

Since my IFS parametric Bifurcation Diagram is already using waves,
well, it might be a perfect fir for my wave program. I just do not want
to cause any harm to speaks and/or myself. I could even use stereo with
left speaker say, sin and right speaker cos. Humm...

On 3/29/2024 10:13 PM, sobriquet wrote:
> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>> A strange bifurcation algorithm from an older iterated function system
>> of mine:
>>
>> https://youtu.be/XKhS_nklCkE
>>
>> My pseudo code is in the description:
>>
>> ______________
>> // 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);
>> ______________
>>
>> Anybody should be able to reproduce it on their end. Right?
>>
>> It's all 2d, but has a 3d vibe! Nice.
>>
>> Any thoughts?
>
>
> Maybe add audio?
>
> https://www.youtube.com/watch?v=-T1tMQaZCtw

I need to start building some wave samples. Say, for fun just
experimenting take 60 frames and use its results from my IFS as a little
sample. I would have to decide on the hertz.

https://youtu.be/Sti66shLG5g?t=32

sobriquet <dohduhdah@yahoo.com> writes:
> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>> A strange bifurcation algorithm from an older iterated function
>> system of mine:
>>
>> https://youtu.be/XKhS_nklCkE
>
> Maybe add audio?
>
> https://www.youtube.com/watch?v=-T1tMQaZCtw

That is one of the most superb uses of sonification I have ever seen.
Hats off to you, sir.

Phil
--
We are no longer hunters and nomads. No longer awed and frightened, as we have
gained some understanding of the world in which we live. As such, we can cast
aside childish remnants from the dawn of our civilization.
-- NotSanguine on SoylentNews, after Eugen Weber in /The Western Tradition/

On 4/7/2024 5:45 AM, Phil Carmody wrote:
> sobriquet <dohduhdah@yahoo.com> writes:
>> Op 30/03/2024 om 01:24 schreef Chris M. Thomasson:
>>> A strange bifurcation algorithm from an older iterated function
>>> system of mine:
>>>
>>> https://youtu.be/XKhS_nklCkE
>>
>> Maybe add audio?
>>
>> https://www.youtube.com/watch?v=-T1tMQaZCtw
>
> That is one of the most superb uses of sonification I have ever seen.
> Hats off to you, sir.

Ditto!