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Author Topic: The most interesting new formulas I'm not able to do  (Read 1282 times)
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DarkBeam
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Fragments of the fractal -like the tip of it


« on: February 27, 2013, 10:01:27 AM »

 wink If Jesse has the time...

http://www.fractalforums.com/ifs-iterated-function-systems/another-3d-kleinian/
http://www.fractalforums.com/ifs-iterated-function-systems/fractal-limit-set-of-4d-hyperbolic-reflection-groups/

There are 4/5 different scripts here - dunno the difference. huh?

http://www.fractalforums.com/3d-fractal-generation/generating-meshes-from-3d-fractal-heightfields-and-isosurfaces/

Can be very good as a new DIFS. I did not observe it too much btw.

http://www.fractalforums.com/new-theories-and-research/new-fractal-needs-a-name/

This by Tglad himself! wink

And last but not least - discontinue stuff. cheesy

the Mandalex

http://www.fractalforums.com/index.php?topic=14516.msg55948#msg55948

There are also a couple more from msltoe also discontinue but pretty. Dunno! grin And DragonKifs from Kali. undecided A lot of time needed I fear!
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ericr
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« Reply #1 on: February 27, 2013, 11:16:58 AM »

it is that you want ?


* apollo vrai333.jpg (166 KB, 640x480 - viewed 234 times.)
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #2 on: February 27, 2013, 01:16:49 PM »

Look again, there are differences between the two fractals... wink
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Alef
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« Reply #3 on: February 28, 2013, 05:26:50 PM »

Since I translated Trifox videos about mandeleX. LinearPull, BoxWrap, cirlcle inverse, rotation, scaling, c addition, nonlinearPull. There are certain dragging of points to opposite quadrants, but couple of this transforms alredy are in abox platinium, circle inverse is some half of spherefold, and linear and non linear Pull probably could be substituted with addition and subtraction. Throught so far most of it's good renders i had seen are in 2D or 3D from distance in Christian video, but few 3D zooms so far is rather plain and actualy looks just like mandelbox.

But 4D hyperbolic whatsoever looks interesting for 3D prints, and Msltoe gad some nice brots.
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Kali
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« Reply #4 on: February 28, 2013, 06:36:25 PM »

Also, if Jesse has the time...

http://www.fractalforums.com/ifs-iterated-function-systems/dragonkifs-promising-formula-but-help-needed/
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Alef
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« Reply #5 on: February 28, 2013, 08:03:49 PM »

Expansion of pretty well known dragon fractal to 3 dimensions sounds as realy nice idea. Eiffie's last image looks like dragon fractal, throught some previous pic alsou looks like some IFS versions of dragon fractal.
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Jesse
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« Reply #6 on: February 28, 2013, 11:04:27 PM »

Have not much time, to many other things that are more important to keep the basic functions alive  wink

Some of the topics are very formula related, so i wonder if Darkbeam is able to fullfill those things, and if not what is needed to be able to do...

For now i am happy if the release is done and functional, then i have a rest  A Beer Cup
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David Makin
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« Reply #7 on: March 01, 2013, 12:44:41 PM »

Expansion of pretty well known dragon fractal to 3 dimensions sounds as realy nice idea. Eiffie's last image looks like dragon fractal, throught some previous pic alsou looks like some IFS versions of dragon fractal.

Here's the classic "Twin Dragon" in 3D (I think) - just 2 different transformations/holons used in the IFS:

<a href="http://www.youtube.com/v/rhx4tYRiyI8&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/rhx4tYRiyI8&rel=1&fs=1&hd=1</a>

I just did it to test my 3D IFS formula - I'm not sure if it's strictly correct, but it looks about right wink
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #8 on: March 01, 2013, 01:33:33 PM »

Okay then smiley I am not able to do 4D hyperbolic script because it's complicated. Other stuff - no I am busy at work sad so ... wait wait... A Beer Cup
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Alef
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« Reply #9 on: March 04, 2013, 05:48:17 PM »

It don't looks like a point density based IFS. But nice like dragon.

Funny, couple of mentioned formulas have pretty simmiler result, kleinian, hyperbolic.

A sent pm to Vladimit Bulatov, maybe he could simplify code of "limit set of 4D hyprbolic reflection groups".

I think, something like Aloe Polyphylla and Romanesco Broccolis could be a nice try;)


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fractal catalisator
Apophyster
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« Reply #10 on: March 05, 2013, 09:11:51 AM »

I think, something like Aloe Polyphylla and Romanesco Broccolis could be a nice try;)
<Quoted Image Removed>

I remember soap/shampoo made from aloe (vera?).
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Alef
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« Reply #11 on: March 06, 2013, 06:49:41 PM »

Offtopic:
It should be not so fractal version of aloe vera. Alsou there are funny asian soft drinks with slimy pieces of aloe.
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fractal catalisator
Apophyster
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« Reply #12 on: March 07, 2013, 10:57:01 AM »

offtopic  vomit; feeling sick  offtopic:
I'm glad I do not drink any soft or hard drinks.
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Rice, wheat and corn make the world go round.
Love and money are just passengers.
Friendliness is the destination.
Alef
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« Reply #13 on: March 15, 2013, 04:15:10 PM »

I PM to V. Bulatov about hyprbolic reflection groups, and he answered, that it's kind of simple,

google translate:
 take a few spheres (interior or exterior) or halves make the reflection (or inversion) of the point in them until the point of them will be inside the intersection. The product of all tensile factors for each operation is inversely proportional to the distance to the reference point of the limit set. The more complicated part of how to position the sphere and the plane that they were given a non-trivial limit set. In my example, I use a specific

Not sure how this translates into algorithms Mandelbox. In there are a spherical inversion and reflection in the plane. The task - to position the sphere and the plane.
I'm writing an article on this topic.
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fractal catalisator
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