On 4/18/2022 2:48 AM, PengKuan Em wrote:
> Le lundi 18 avril 2022 à 06:42:34 UTC+2, Chris M. Thomasson a écrit :
>> Humm... You might want to reach out to a person by the name of David
>> Makin. He is working on something called the MultiPlex. He is a
>> programmer, and basically created an old school game, Crystal Dragon:
>>
>> https://www.dungeoncrawlers.org/game/crystal-dragon
>>
>> should I try to get you two in touch?
> Yes, with pleasure. I have even a function that make 3D object rotate in apace using the 3D complex. I think he might be interested.
>
> For your need of algebraic function, I have put all the useful functions in 3D complex system in this document, you can download it and see if they satisfy your need. For download, you have to click on the button on the top-right corner of the view window, the button is for reading in a new tab. Then, you have the download button
> https://pengkuanonmaths.blogspot.com/2022/04/procedure-to-convert-2d-formula-into-3d.html
>

Great! I am currently music working on something else... Here is an example:

https://www.facebook.com/chris.thomasson.31/videos/773371516978160

However, I will get back to you. Thanks Peng! I still have to contact
David to get you two in touch.

:^)

Le jeudi 21 avril 2022 à 00:20:21 UTC+2, Chris M. Thomasson a écrit :
> Great! I am currently music working on something else... Here is an example:
>
> https://www.facebook.com/chris.thomasson.31/videos/773371516978160
>
> However, I will get back to you. Thanks Peng! I still have to contact
> David to get you two in touch.
>
> :^)
So, you have found what you need for 3D in the document?

It looks funny your video.

PK

On 4/20/2022 3:54 PM, PengKuan Em wrote:
> Le jeudi 21 avril 2022 à 00:20:21 UTC+2, Chris M. Thomasson a écrit :
>> Great! I am currently music working on something else... Here is an example:
>>
>> https://www.facebook.com/chris.thomasson.31/videos/773371516978160
>>
>> However, I will get back to you. Thanks Peng! I still have to contact
>> David to get you two in touch.
>>
>> :^)
> So, you have found what you need for 3D in the document?

I think so. I just need to find some time to code it up for myself.
Actually, iirc, somebody posted a frag in the fractalforum thread. I
should be able to plug right into my stacker in C++. Coding it up in
GLSL would be helpful.

> It looks funny your video.

;^) It's from one of my experimental vector fields. It's actually set to
the delay in the notes of the music that I also generated. Fwiw, check
these out:

https://youtu.be/HwIkk9zENcg

https://youtu.be/skGUAXAx6eg

Le jeudi 21 avril 2022 à 01:27:46 UTC+2, Chris M. Thomasson a écrit :
> On 4/20/2022 3:54 PM, PengKuan Em wrote:
> > Le jeudi 21 avril 2022 à 00:20:21 UTC+2, Chris M. Thomasson a écrit :
> >> Great! I am currently music working on something else... Here is an example:
> >>
> >> https://www.facebook.com/chris.thomasson.31/videos/773371516978160
> >>
> >> However, I will get back to you. Thanks Peng! I still have to contact
> >> David to get you two in touch.
> >>
> >> :^)
> > So, you have found what you need for 3D in the document?
> I think so. I just need to find some time to code it up for myself.
> Actually, iirc, somebody posted a frag in the fractalforum thread. I
> should be able to plug right into my stacker in C++. Coding it up in
> GLSL would be helpful.
> > It looks funny your video.
> ;^) It's from one of my experimental vector fields. It's actually set to
> the delay in the notes of the music that I also generated. Fwiw, check
> these out:
>
> https://youtu.be/HwIkk9zENcg
>
> https://youtu.be/skGUAXAx6eg
If you have any question about the algebra, I'm here to help.

Here is a document that presents a series of rendering of 3D fractals. You can give the link to your friend David,
https://pengkuanonmaths.blogspot.com/2022/04/rendering-of-3d-mandelbrot-lambda-and.html

I have looked at your video and they appear to me a little creepy. I do not want to offend you, but I think my opinion may help in your choosing of animated object which would be more pleasant to viewers. The objects are too dense, which can be disturbing to some. Also, the objects are worm like or snake like, which are also disturbing.

I think objects that remind baby animal or human would be cute, and objects that remind plant would give peaceful feeling.

Sorry if my opinion offended you.

PK

On 3/14/2022 2:17 PM, PengKuan Em wrote:
> Le dimanche 13 mars 2022 à 08:15:22 UTC+1, Chris M. Thomasson a écrit :
>> On 3/11/2022 1:59 PM, PengKuan Em wrote:
>>> Le vendredi 25 février 2022 à 03:24:19 UTC+1, Chris M. Thomasson a écrit :
>>>> On 2/17/2022 12:42 PM, PengKuan Em wrote:
>> [...]
>>>> Post it over on https://fractalforums.org." rel="nofollow" target="_blank">https://fractalforums.org. There are a lot of people who
>>>> will try to create fractals with it. I do not have the time to give it a
>>>> really deep dive right now. Fwiw, here is some of my work:
>>>>
>>>> https://fractalforums.org/index.php?action=gallery;sa=view;id=6714
>>>
>>> Following your advice, I have put my post in https://fractalforums.org which is here
>>> https://fractalforums.org/fractal-mathematics-and-new-theories/28/extending-complex-number-to-spaces-with-3-4-or-any-number-of-dimensions/4675/new#new
>> I see it. You should get some really good help there.
> Yes, I did get some interesting opinions. THank you again.
>

I knew it! Cool. :^)

On 4/20/2022 5:35 PM, PengKuan Em wrote:
> Le jeudi 21 avril 2022 à 01:27:46 UTC+2, Chris M. Thomasson a écrit :
>> On 4/20/2022 3:54 PM, PengKuan Em wrote:
>>> Le jeudi 21 avril 2022 à 00:20:21 UTC+2, Chris M. Thomasson a écrit :
>>>> Great! I am currently music working on something else... Here is an example:
>>>>
>>>> https://www.facebook.com/chris.thomasson.31/videos/773371516978160
>>>>
>>>> However, I will get back to you. Thanks Peng! I still have to contact
>>>> David to get you two in touch.
>>>>
>>>> :^)
>>> So, you have found what you need for 3D in the document?
>> I think so. I just need to find some time to code it up for myself.
>> Actually, iirc, somebody posted a frag in the fractalforum thread. I
>> should be able to plug right into my stacker in C++. Coding it up in
>> GLSL would be helpful.
>>> It looks funny your video.
>> ;^) It's from one of my experimental vector fields. It's actually set to
>> the delay in the notes of the music that I also generated. Fwiw, check
>> these out:
>>
>> https://youtu.be/HwIkk9zENcg
>>
>> https://youtu.be/skGUAXAx6eg
> If you have any question about the algebra, I'm here to help.
>
> Here is a document that presents a series of rendering of 3D fractals. You can give the link to your friend David,
> https://pengkuanonmaths.blogspot.com/2022/04/rendering-of-3d-mandelbrot-lambda-and.html
>
> I have looked at your video and they appear to me a little creepy.

Yup. I even agree! Humm.... ;^o

I do not want to offend you, but I think my opinion may help in your
choosing of animated object which would be more pleasant to viewers. The
objects are too dense, which can be disturbing to some. Also, the
objects are worm like or snake like, which are also disturbing.
>
> I think objects that remind baby animal or human would be cute, and objects that remind plant would give peaceful feeling.
>
> Sorry if my opinion offended you.

Oh, not at all. Actually, you are not alone. A majority of viewers seem
to find it a bit "creepy", so to speak. I will get to your fine work
after I am done with some essential timing work... ;^)

On 4/26/2022 10:49 PM, Chris M. Thomasson wrote:
> On 4/20/2022 5:35 PM, PengKuan Em wrote:
>> Le jeudi 21 avril 2022 à 01:27:46 UTC+2, Chris M. Thomasson a écrit :
>>> On 4/20/2022 3:54 PM, PengKuan Em wrote:
>>>> Le jeudi 21 avril 2022 à 00:20:21 UTC+2, Chris M. Thomasson a écrit :
>>>>> Great! I am currently music working on something else... Here is an
>>>>> example:
>>>>>
>>>>> https://www.facebook.com/chris.thomasson.31/videos/773371516978160
>>>>>
>>>>> However, I will get back to you. Thanks Peng! I still have to contact
>>>>> David to get you two in touch.
>>>>>
>>>>> :^)
>>>> So, you have found what you need for 3D in the document?
>>> I think so. I just need to find some time to code it up for myself.
>>> Actually, iirc, somebody posted a frag in the fractalforum thread. I
>>> should be able to plug right into my stacker in C++. Coding it up in
>>> GLSL would be helpful.
>>>> It looks funny your video.
>>> ;^) It's from one of my experimental vector fields. It's actually set to
>>> the delay in the notes of the music that I also generated. Fwiw, check
>>> these out:
>>>
>>> https://youtu.be/HwIkk9zENcg
>>>
>>> https://youtu.be/skGUAXAx6eg
>> If you have any question about the algebra, I'm here to help.
>>
>> Here is a document that presents a series of rendering of 3D fractals.
>> You can give the link to your friend David,
>> https://pengkuanonmaths.blogspot.com/2022/04/rendering-of-3d-mandelbrot-lambda-and.html
>>
>>
>> I have looked at your video and they appear to me a little creepy.
>
> Yup. I even agree! Humm.... ;^o
>
>
> I do not want to offend you, but I think my opinion may help in your
> choosing of animated object which would be more pleasant to viewers. The
> objects are too dense, which can be disturbing to some. Also, the
> objects are worm like or snake like, which are also disturbing.
>>
>> I think objects that remind baby animal or human would be cute, and
>> objects that remind plant would give peaceful feeling.
>>
>> Sorry if my opinion offended you.
>
> Oh, not at all. Actually, you are not alone. A majority of viewers seem
> to find it a bit "creepy", so to speak. I will get to your fine work
> after I am done with some essential timing work... ;^)
>

Sorry for the quoting botch! Damn. Your words should be attributed to
you, is the quoting messed up on your end? Even though, sorry, my vector
field work seems to produce some rather creepy results. Strange in a
sense...

Le mercredi 27 avril 2022 à 07:51:52 UTC+2, Chris M. Thomasson a écrit :
> Sorry for the quoting botch! Damn. Your words should be attributed to
> you, is the quoting messed up on your end? Even though, sorry,

No problem with the quoting, I see the botch but I understand the post.

>my vector field work seems to produce some rather creepy results. Strange in a sense...
So, it is a formula that produces these creatures, not a choice of you.
This made me think that for using my 3D vector field system, multiplication is not distributive over addition. If you have to compute A*D+B*D, you should not compute as (A+B)*D because this will give unpredictable result.

On 4/28/2022 8:28 AM, PengKuan Em wrote:
> Le mercredi 27 avril 2022 à 07:51:52 UTC+2, Chris M. Thomasson a écrit :
>> Sorry for the quoting botch! Damn. Your words should be attributed to
>> you, is the quoting messed up on your end? Even though, sorry,
>
> No problem with the quoting, I see the botch but I understand the post.
>
>> my vector field work seems to produce some rather creepy results. Strange in a sense...
> So, it is a formula that produces these creatures, not a choice of you.

I created the formula. However, when I first created it I did not know
it would end up looking like Medusa high on cocaine or something... ;^o

The main formula is N-ary, so it can handle any dimension. I have
created 4d fields, but I do not know how to plot 4d points. All I can do
it see how a 4d point influences the 3d world.

https://www.facebook.com/chris.thomasson.31/posts/715380879620913

>
> This made me think that for using my 3D vector field system, multiplication is not distributive over addition. If you have to compute A*D+B*D, you should not compute as (A+B)*D because this will give unpredictable result.

Le dimanche 1 mai 2022 à 03:14:26 UTC+2, Chris M. Thomasson a écrit :
> I created the formula. However, when I first created it I did not know
> it would end up looking like Medusa high on cocaine or something... ;^o
>
Yes. In general one does not know the output of formulae. But it is a excitement to see a formula become real.
> The main formula is N-ary, so it can handle any dimension. I have
> created 4d fields, but I do not know how to plot 4d points. All I can do
> it see how a 4d point influences the 3d world.
I see in wiki
https://en.wikipedia.org/wiki/Four-dimensional_space#Shadows
that there are much research on 4D with shadows. But one cannot get the sense of 4D object and no one gets further.

On 5/1/2022 3:36 PM, PengKuan Em wrote:
> Le dimanche 1 mai 2022 à 03:14:26 UTC+2, Chris M. Thomasson a écrit :
>> I created the formula. However, when I first created it I did not know
>> it would end up looking like Medusa high on cocaine or something... ;^o
>>
> Yes. In general one does not know the output of formulae. But it is a excitement to see a formula become real.

Indeed it is! :^)

Working on another dancing field experiment...

>> The main formula is N-ary, so it can handle any dimension. I have
>> created 4d fields, but I do not know how to plot 4d points. All I can do
>> it see how a 4d point influences the 3d world.
> I see in wiki
> https://en.wikipedia.org/wiki/Four-dimensional_space#Shadows
> that there are much research on 4D with shadows. But one cannot get the sense of 4D object and no one gets further.

I agree. For what its worth, here are some Tesseracts I have made:

https://www.facebook.com/chris.thomasson.31/posts/714010116424656

https://www.facebook.com/chris.thomasson.31/posts/709737620185239

https://www.facebook.com/chris.thomasson.31/posts/709739926851675

https://www.facebook.com/chris.thomasson.31/posts/709752673517067

https://www.facebook.com/chris.thomasson.31/posts/708738510285150

Le lundi 2 mai 2022 à 02:14:04 UTC+2, Chris M. Thomasson a écrit :
> On 5/1/2022 3:36 PM, PengKuan Em wrote:
> > Le dimanche 1 mai 2022 à 03:14:26 UTC+2, Chris M. Thomasson a écrit :
> >> I created the formula. However, when I first created it I did not know
> >> it would end up looking like Medusa high on cocaine or something... ;^o
> >>
> > Yes. In general one does not know the output of formulae. But it is a excitement to see a formula become real.
> Indeed it is! :^)
>
> Working on another dancing field experiment...
> >> The main formula is N-ary, so it can handle any dimension. I have
> >> created 4d fields, but I do not know how to plot 4d points. All I can do
> >> it see how a 4d point influences the 3d world.
> > I see in wiki
> > https://en.wikipedia.org/wiki/Four-dimensional_space#Shadows
> > that there are much research on 4D with shadows. But one cannot get the sense of 4D object and no one gets further.
> I agree. For what its worth, here are some Tesseracts I have made:
>
> https://www.facebook.com/chris.thomasson.31/posts/714010116424656
>
> https://www.facebook.com/chris.thomasson.31/posts/709737620185239
>
> https://www.facebook.com/chris.thomasson.31/posts/709739926851675
>
> https://www.facebook.com/chris.thomasson.31/posts/709752673517067
>
> https://www.facebook.com/chris.thomasson.31/posts/708738510285150
I looked your 4D images in the links. But I cannot get a sense of 4D space.

In fact, I think that we 3D being cannot psychologically get the sense of 4D space with images. This is why whatever people have tried to make 4D visible in 3D, they never gets a big audience, because the readers are not excited by things they cannot see in image. So, I think it is better to put time on real 3D objects.

On 5/3/2022 2:46 PM, PengKuan Em wrote:
> Le lundi 2 mai 2022 à 02:14:04 UTC+2, Chris M. Thomasson a écrit :
>> On 5/1/2022 3:36 PM, PengKuan Em wrote:
>>> Le dimanche 1 mai 2022 à 03:14:26 UTC+2, Chris M. Thomasson a écrit :
>>>> I created the formula. However, when I first created it I did not know
>>>> it would end up looking like Medusa high on cocaine or something... ;^o
>>>>
>>> Yes. In general one does not know the output of formulae. But it is a excitement to see a formula become real.
>> Indeed it is! :^)
>>
>> Working on another dancing field experiment...
>>>> The main formula is N-ary, so it can handle any dimension. I have
>>>> created 4d fields, but I do not know how to plot 4d points. All I can do
>>>> it see how a 4d point influences the 3d world.
>>> I see in wiki
>>> https://en.wikipedia.org/wiki/Four-dimensional_space#Shadows
>>> that there are much research on 4D with shadows. But one cannot get the sense of 4D object and no one gets further.
>> I agree. For what its worth, here are some Tesseracts I have made:
>>
>> https://www.facebook.com/chris.thomasson.31/posts/714010116424656
>>
>> https://www.facebook.com/chris.thomasson.31/posts/709737620185239
>>
>> https://www.facebook.com/chris.thomasson.31/posts/709739926851675
>>
>> https://www.facebook.com/chris.thomasson.31/posts/709752673517067
>>
>> https://www.facebook.com/chris.thomasson.31/posts/708738510285150
> I looked your 4D images in the links. But I cannot get a sense of 4D space.

They show how an attracting point in pure 4d space, say (0, 0, 0, -1)
can influence points in pure 3d space (x, y, z, 0).

>
> In fact, I think that we 3D being cannot psychologically get the sense of 4D space with images. This is why whatever people have tried to make 4D visible in 3D, they never gets a big audience, because the readers are not excited by things they cannot see in image. So, I think it is better to put time on real 3D objects.

Hard to disagree with this!

On 5/3/2022 4:03 PM, Chris M. Thomasson wrote:
> On 5/3/2022 2:46 PM, PengKuan Em wrote:
>> Le lundi 2 mai 2022 à 02:14:04 UTC+2, Chris M. Thomasson a écrit :
>>> On 5/1/2022 3:36 PM, PengKuan Em wrote:
>>>> Le dimanche 1 mai 2022 à 03:14:26 UTC+2, Chris M. Thomasson a écrit :
>>>>> I created the formula. However, when I first created it I did not know
>>>>> it would end up looking like Medusa high on cocaine or something...
>>>>> ;^o
>>>>>
>>>> Yes. In general one does not know the output of formulae. But it is
>>>> a excitement to see a formula become real.
>>> Indeed it is! :^)
>>>
>>> Working on another dancing field experiment...
>>>>> The main formula is N-ary, so it can handle any dimension. I have
>>>>> created 4d fields, but I do not know how to plot 4d points. All I
>>>>> can do
>>>>> it see how a 4d point influences the 3d world.
>>>> I see in wiki
>>>> https://en.wikipedia.org/wiki/Four-dimensional_space#Shadows
>>>> that there are much research on 4D with shadows. But one cannot get
>>>> the sense of 4D object and no one gets further.
>>> I agree. For what its worth, here are some Tesseracts I have made:
>>>
>>> https://www.facebook.com/chris.thomasson.31/posts/714010116424656
>>>
>>> https://www.facebook.com/chris.thomasson.31/posts/709737620185239
>>>
>>> https://www.facebook.com/chris.thomasson.31/posts/709739926851675
>>>
>>> https://www.facebook.com/chris.thomasson.31/posts/709752673517067
>>>
>>> https://www.facebook.com/chris.thomasson.31/posts/708738510285150
>> I looked your 4D images in the links. But I cannot get a sense of 4D
>> space.
>
> They show how an attracting point in pure 4d space, say (0, 0, 0, -1)
> can influence points in pure 3d space (x, y, z, 0).

This shows an attractor in 4d space at point {0, 0, 0, 1} influencing
the 3d world:

https://www.facebook.com/chris.thomasson.31/posts/715380879620913

>
>
>>
>> In fact, I think that we 3D being cannot psychologically get the sense
>> of 4D space with images. This is why whatever people have tried to
>> make 4D visible in 3D, they never gets a big audience, because the
>> readers are not excited by things they cannot see in image. So, I
>> think it is better to put time on real 3D objects.
>
> Hard to disagree with this!

Le mercredi 4 mai 2022 à 01:06:44 UTC+2, Chris M. Thomasson a écrit :
> This shows an attractor in 4d space at point {0, 0, 0, 1} influencing
> the 3d world:
>
> https://www.facebook.com/chris.thomasson.31/posts/715380879620913

Alef in Fractalforum has brought out 3D fractals which are so strange. They are function of 3D exponential and are never seen before.
https://fractalforums.org/index.php?action=dlattach;topic=4675.0;attach=26968;image
https://fractalforums.org/gallery/201-020522084432.jpeg
https://fractalforums.org/gallery/201-040522192800.jpeg
https://fractalforums.org/gallery/201-040522193149.jpeg

We can compare with the Mandelbrot power 2
https://fractalforums.org/gallery/201-240422213140.jpeg
They are really in two different world.

On 5/5/2022 4:20 PM, PengKuan Em wrote:
> Le mercredi 4 mai 2022 à 01:06:44 UTC+2, Chris M. Thomasson a écrit :
>> This shows an attractor in 4d space at point {0, 0, 0, 1} influencing
>> the 3d world:
>>
>> https://www.facebook.com/chris.thomasson.31/posts/715380879620913
>
> Alef in Fractalforum has brought out 3D fractals which are so strange. They are function of 3D exponential and are never seen before.
> https://fractalforums.org/index.php?action=dlattach;topic=4675.0;attach=26968;image
> https://fractalforums.org/gallery/201-020522084432.jpeg
> https://fractalforums.org/gallery/201-040522192800.jpeg
> https://fractalforums.org/gallery/201-040522193149.jpeg
>
> We can compare with the Mandelbrot power 2
> https://fractalforums.org/gallery/201-240422213140.jpeg
> They are really in two different world.

Nice! Need to go back into fractalforums. I was more active in the past.
For what its worth, I am still working on my music sync:

https://youtu.be/4eNAlT7TXS0

https://youtu.be/DUG-qnkXTF8

On 5/5/2022 4:20 PM, PengKuan Em wrote:
> Le mercredi 4 mai 2022 à 01:06:44 UTC+2, Chris M. Thomasson a écrit :
>> This shows an attractor in 4d space at point {0, 0, 0, 1} influencing
>> the 3d world:
>>
>> https://www.facebook.com/chris.thomasson.31/posts/715380879620913
>
> Alef in Fractalforum has brought out 3D fractals which are so strange. They are function of 3D exponential and are never seen before.
> https://fractalforums.org/index.php?action=dlattach;topic=4675.0;attach=26968;image
> https://fractalforums.org/gallery/201-020522084432.jpeg
> https://fractalforums.org/gallery/201-040522192800.jpeg
> https://fractalforums.org/gallery/201-040522193149.jpeg
>
> We can compare with the Mandelbrot power 2
> https://fractalforums.org/gallery/201-240422213140.jpeg
> They are really in two different world.

Getting back into my power stack experiment. This is where I can try out
your formula:

https://www.facebook.com/photo/?fbid=729186104907057&set=a.110008616824812

___________________
namespace ct_3d_bulb
{ void iterate_mbulb_pixel(
ct::plot::cairo::plot_2d& plot,
glm::vec3 z,
glm::vec3 c,
float power,
unsigned long px,
unsigned long py,
unsigned long n
) {
//glm::vec3 zs(0., 0., 0.); // mbrot mode
glm::vec3 zs = z;
//glm::vec3 cs = c; // mbrot mode
glm::vec3 cs(-.5, .5, 0);

for (unsigned long i = 0; i < n; ++i)
{
float zsq0 = zs.x * zs.x + zs.y * zs.y + zs.z * zs.z;
float r = glm::sqrt(zsq0);
float rpower = glm::pow(r, power);
float angle0 = glm::atan(zs.z, std::sqrt(zs.x * zs.x + zs.y
* zs.y));
float angle1 = glm::atan(zs.y, zs.x);

glm::vec3 znew;

znew.x = rpower * glm::cos(power * angle1) * glm::cos(power
* angle0);
znew.y = rpower * glm::sin(power * angle1) * glm::cos(power
* angle0);
znew.z = rpower * glm::sin(power * angle0);

zs.x = znew.x + cs.x;
zs.y = znew.y + cs.y;
zs.z = znew.z + cs.z;

if (zsq0 > 4.0)
{
return;
}
}

plot.set_pixel(px, py, CT_RGBF(1, 0, 0));
}
___________________

On 5/5/2022 4:20 PM, PengKuan Em wrote:
> Le mercredi 4 mai 2022 à 01:06:44 UTC+2, Chris M. Thomasson a écrit :
>> This shows an attractor in 4d space at point {0, 0, 0, 1} influencing
>> the 3d world:
>>
>> https://www.facebook.com/chris.thomasson.31/posts/715380879620913
>
> Alef in Fractalforum has brought out 3D fractals which are so strange. They are function of 3D exponential and are never seen before.
> https://fractalforums.org/index.php?action=dlattach;topic=4675.0;attach=26968;image
> https://fractalforums.org/gallery/201-020522084432.jpeg
> https://fractalforums.org/gallery/201-040522192800.jpeg
> https://fractalforums.org/gallery/201-040522193149.jpeg
>
> We can compare with the Mandelbrot power 2
> https://fractalforums.org/gallery/201-240422213140.jpeg
> They are really in two different world.

Plotting some field lines in the Mandelbulb:

https://www.facebook.com/photo/?fbid=729211238237877&set=pcb.729211274904540

On 5/5/2022 4:20 PM, PengKuan Em wrote:
> Le mercredi 4 mai 2022 à 01:06:44 UTC+2, Chris M. Thomasson a écrit :
>> This shows an attractor in 4d space at point {0, 0, 0, 1} influencing
>> the 3d world:
>>
>> https://www.facebook.com/chris.thomasson.31/posts/715380879620913
>
> Alef in Fractalforum has brought out 3D fractals which are so strange. They are function of 3D exponential and are never seen before.
> https://fractalforums.org/index.php?action=dlattach;topic=4675.0;attach=26968;image
> https://fractalforums.org/gallery/201-020522084432.jpeg
> https://fractalforums.org/gallery/201-040522192800.jpeg
> https://fractalforums.org/gallery/201-040522193149.jpeg
>
> We can compare with the Mandelbrot power 2
> https://fractalforums.org/gallery/201-240422213140.jpeg
> They are really in two different world.

Check these experiments out:

https://fractalforums.org/gallery/1612-070522214128.png

https://fractalforums.org/gallery/1612-070522220250.png

Le samedi 7 mai 2022 à 22:36:55 UTC+2, Chris M. Thomasson a écrit :
> Getting back into my power stack experiment. This is where I can try out
> your formula:
>
> https://www.facebook.com/photo/?fbid=729186104907057&set=a.110008616824812
>
You have shown this image before. I do not know what it is about. Have you used the 3D formulae I gave you? Did they give you better experience or satisfaction?

> Plotting some field lines in the Mandelbulb:
>
> https://www.facebook.com/photo/?fbid=729211238237877&set=pcb.729211274904540

> Check these experiments out:
>
> https://fractalforums.org/gallery/1612-070522214128.png
>
> https://fractalforums.org/gallery/1612-070522220250.png

Ah, this is new thing. It may be promising.
Did you use my formulae to do this?

Also, for you scary animation, maybe putting them in a real environment will make them pleasant, like with sea anemone
https://prmeng.rosselcdn.net/sites/default/files/dpistyles_v2/ena_16_9_extra_big/2021/07/19/node_214236/38596916/public/2021/07/19/B9727742378Z.1_20210719142914_000%2BGA8IIC9D9.2-0.jpg?itok=nu1341Xr1626697761
https://elevate-assets.s3.amazonaws.com/articles/pictures/153/large/anemone-une.jpg?1451408515
https://youtu.be/MUMX7u7v2uY

PK

On 5/7/2022 3:48 PM, PengKuan Em wrote:
> Le samedi 7 mai 2022 à 22:36:55 UTC+2, Chris M. Thomasson a écrit :
>> Getting back into my power stack experiment. This is where I can try out
>> your formula:
>>
>> https://www.facebook.com/photo/?fbid=729186104907057&set=a.110008616824812
>>
> You have shown this image before. I do not know what it is about. Have you used the 3D formulae I gave you? Did they give you better experience or satisfaction?
>
>> Plotting some field lines in the Mandelbulb:
>>
>> https://www.facebook.com/photo/?fbid=729211238237877&set=pcb.729211274904540
>
>> Check these experiments out:
>>
>> https://fractalforums.org/gallery/1612-070522214128.png
>>
>> https://fractalforums.org/gallery/1612-070522220250.png
>
> Ah, this is new thing. It may be promising.
> Did you use my formulae to do this?

Not yet. I used a standard Mandelbulb iteration:
_________________________________
namespace ct_3d_bulb
{ glm::vec3
iterate_point(
glm::vec3 z,
glm::vec3 c,
float power,
unsigned long n
) {
glm::vec3 zs = z; // mbrot mode
//glm::vec3 zs = z;
glm::vec3 cs = c; // mbrot mode
//glm::vec3 cs(-.5, .5, 0);

for (unsigned long i = 0; i < n; ++i)
{
float zsq0 = zs.x * zs.x + zs.y * zs.y + zs.z * zs.z;
float r = glm::sqrt(zsq0);
float rpower = glm::pow(r, power);
float angle0 = glm::atan(zs.z, std::sqrt(zs.x * zs.x + zs.y
* zs.y));
float angle1 = glm::atan(zs.y, zs.x);

glm::vec3 znew;

znew.x = rpower * glm::cos(power * angle1) * glm::cos(power
* angle0);
znew.y = rpower * glm::sin(power * angle1) * glm::cos(power
* angle0);
znew.z = rpower * glm::sin(power * angle0);

zs.x = znew.x + cs.x;
zs.y = znew.y + cs.y;
zs.z = znew.z + cs.z;
}

return zs;
}

[...]
_________________________________

> Also, for you scary animation, maybe putting them in a real environment will make them pleasant, like with sea anemone
> https://prmeng.rosselcdn.net/sites/default/files/dpistyles_v2/ena_16_9_extra_big/2021/07/19/node_214236/38596916/public/2021/07/19/B9727742378Z.1_20210719142914_000%2BGA8IIC9D9.2-0.jpg?itok=nu1341Xr1626697761
> https://elevate-assets.s3.amazonaws.com/articles/pictures/153/large/anemone-une.jpg?1451408515
> https://youtu.be/MUMX7u7v2uY

Nice idea! Check these out:

https://fractalforums.org/gallery/1612-070621063332.png

https://fractalforums.org/gallery/1612-010621000850.png

Over some water... ;^)

On 5/7/2022 3:52 PM, Chris M. Thomasson wrote:
> On 5/7/2022 3:48 PM, PengKuan Em wrote:
>> Le samedi 7 mai 2022 à 22:36:55 UTC+2, Chris M. Thomasson a écrit :
>>> Getting back into my power stack experiment. This is where I can try out
>>> your formula:
>>>
>>> https://www.facebook.com/photo/?fbid=729186104907057&set=a.110008616824812
>>>
>>>
>> You have shown this image before. I do not know what it is about. Have
>> you used the 3D formulae I gave you? Did they give you better
>> experience or satisfaction?
>>
>>> Plotting some field lines in the Mandelbulb:
>>>
>>> https://www.facebook.com/photo/?fbid=729211238237877&set=pcb.729211274904540
>>>
>>
>>> Check these experiments out:
>>>
>>> https://fractalforums.org/gallery/1612-070522214128.png
>>>
>>> https://fractalforums.org/gallery/1612-070522220250.png
>>
>> Ah, this is new thing. It may be promising.
>> Did you use my formulae to do this?
>
> Not yet. I used a standard Mandelbulb iteration:
> _________________________________
> namespace ct_3d_bulb
> {
>     glm::vec3
>     iterate_point(
>         glm::vec3 z,
>         glm::vec3 c,
>         float power,
>         unsigned long n
>     ) {
>         glm::vec3 zs = z; // mbrot mode
>         //glm::vec3 zs = z;
>         glm::vec3 cs = c; // mbrot mode
>         //glm::vec3 cs(-.5, .5, 0);
>
>         for (unsigned long i = 0; i < n; ++i)
>         {
>             float zsq0 = zs.x * zs.x + zs.y * zs.y + zs.z * zs.z;
>             float r = glm::sqrt(zsq0);
>             float rpower = glm::pow(r, power);
>             float angle0 = glm::atan(zs.z, std::sqrt(zs.x * zs.x + zs.y
> * zs.y));
>             float angle1 = glm::atan(zs.y, zs.x);
>
>             glm::vec3 znew;
>
>             znew.x = rpower * glm::cos(power * angle1) * glm::cos(power
> * angle0);
>             znew.y = rpower * glm::sin(power * angle1) * glm::cos(power
> * angle0);
>             znew.z = rpower * glm::sin(power * angle0);
>
>             zs.x = znew.x + cs.x;
>             zs.y = znew.y + cs.y;
>             zs.z = znew.z + cs.z;
>         }
>
>         return zs;
>     }
>
> [...]
> _________________________________

Here is a rather coarse rendering of the bulb at power 8:

https://www.facebook.com/photo/?fbid=729246571567677&set=pcb.729246908234310

Using spheres as points.

>
>> Also, for you scary animation, maybe putting them in a real
>> environment will make them pleasant, like with sea anemone
>> https://prmeng.rosselcdn.net/sites/default/files/dpistyles_v2/ena_16_9_extra_big/2021/07/19/node_214236/38596916/public/2021/07/19/B9727742378Z.1_20210719142914_000%2BGA8IIC9D9.2-0.jpg?itok=nu1341Xr1626697761
>>
>> https://elevate-assets.s3.amazonaws.com/articles/pictures/153/large/anemone-une.jpg?1451408515
>>
>> https://youtu.be/MUMX7u7v2uY
>
> Nice idea! Check these out:
>
> https://fractalforums.org/gallery/1612-070621063332.png
>
> https://fractalforums.org/gallery/1612-010621000850.png
>
> Over some water... ;^)

On 5/7/2022 3:48 PM, PengKuan Em wrote:
> Le samedi 7 mai 2022 à 22:36:55 UTC+2, Chris M. Thomasson a écrit :
>> Getting back into my power stack experiment. This is where I can try out
>> your formula:
>>
>> https://www.facebook.com/photo/?fbid=729186104907057&set=a.110008616824812
>>
> You have shown this image before. I do not know what it is about. Have you used the 3D formulae I gave you? Did they give you better experience or satisfaction?
>
>> Plotting some field lines in the Mandelbulb:
>>
>> https://www.facebook.com/photo/?fbid=729211238237877&set=pcb.729211274904540
>
>> Check these experiments out:
>>
>> https://fractalforums.org/gallery/1612-070522214128.png
>>
>> https://fractalforums.org/gallery/1612-070522220250.png
>
> Ah, this is new thing. It may be promising.
> Did you use my formulae to do this?
[...]

I posted on the thread over in fractalforums. I just need to introduce
your algebra into my current function that creates a standard Mandelbulb
what creates the Mandelbrot set at a slice of 0 using a power of 2.
Reading the thread in more detail.

Le mardi 10 mai 2022 à 00:06:30 UTC+2, Chris M. Thomasson a écrit :
> I posted on the thread over in fractalforums. I just need to introduce
> your algebra into my current function that creates a standard Mandelbulb
> what creates the Mandelbrot set at a slice of 0 using a power of 2.
> Reading the thread in more detail.
I saw them

On 5/10/2022 8:15 AM, PengKuan Em wrote:
> Le mardi 10 mai 2022 à 00:06:30 UTC+2, Chris M. Thomasson a écrit :
>> I posted on the thread over in fractalforums. I just need to introduce
>> your algebra into my current function that creates a standard Mandelbulb
>> what creates the Mandelbrot set at a slice of 0 using a power of 2.
>> Reading the thread in more detail.
> I saw them

Almost ready to code up your work. I showed them to David Makin.

https://ibb.co/c1CP79c

I asked him if I have permission to show his private comments to you.

https://i.ibb.co/PN9RfyZ/image.png