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Author Topic: An escape time algorithm for Kleinian group limit sets  (Read 8756 times)
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Sabine
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« Reply #105 on: January 30, 2017, 12:07:03 PM »

@C-JR
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utak3r
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« Reply #106 on: February 10, 2017, 01:07:39 AM »

Ok, my turn on Jos' "escape time", this time with some traps.
And ShaderToy's version with some zooming:
https://www.shadertoy.com/view/MdfcRr




* Kleinian.jpg (184.66 KB, 1920x1080 - viewed 35 times.)
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Imagyx
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Finally 3D and more... Thank you !! ;-)


« Reply #107 on: February 10, 2017, 07:05:54 PM »

I had a look at the very first .frag
(http://www.fractalforums.com/index.php?action=dlattach;topic=24728.0;attach=13852)
and the Java code I wrote from that works well.
Therefore I'm not totally stupid  embarrass
But I must have misinterpreted something in the later used glsl style code
(http://www.fractalforums.com/index.php?action=dlattach;topic=24728.0;attach=13853)
But I don't know yet what exactly.... huh?

https://imagyx.files.wordpress.com/2017/02/p3d_2017-02-10_18-55-29.png
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3dickulus
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« Reply #108 on: February 11, 2017, 02:53:22 AM »

@utak3r I converted your ShaderToy script to Fragmentarium smiley


* utak3rJosKlein.jpg (239.42 KB, 1920x1080 - viewed 38 times.)
* utak3rJosKleinian.frag (3.48 KB - downloaded 28 times.)
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utak3r
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« Reply #109 on: February 11, 2017, 12:56:06 PM »

Great  cheesy  I haven't looked at Fragmentarium yet, unfortunately. Probably will have to do it finally  Azn

Anyway, here's a 3D version, with some fake ambient occlusion and very fake environment mapping.
Fullsize can be seen here or here.
BTW, I have really big problems with a gallery here in our forum... many images just don't show (404). Strange...  hurt Also, most of the times I'm unable to attach images.
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Crist-JRoger
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« Reply #110 on: March 03, 2017, 08:58:05 PM »

Tried add this coloring  embarrass
2 archives: DE-Kn2 and mine DE-Kn10 (slower)


* Kleinian_angles_Palette.zip (46.07 KB - downloaded 33 times.)
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mclarekin
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« Reply #111 on: March 04, 2017, 07:36:50 AM »

@ crist-JRoger.


This image looks GREAT afro afro afro.

I love the circles amongst the standard  klienian formations
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Efoia
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« Reply #112 on: March 04, 2017, 05:40:14 PM »

Looks very ornate, thanks for the DE!!  (Also managed to figure out sphere inversion thanks to that frag)

« Last Edit: March 04, 2017, 05:47:36 PM by Efoia » Logged

Sabine
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« Reply #113 on: March 05, 2017, 12:58:32 PM »

@C-JR Fantastic frag Yes !!, I will take a closer look! wink

@Efoia Very nicely done render! Which program did you use?
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Efoia
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« Reply #114 on: March 05, 2017, 01:10:28 PM »

@Efoia Very nicely done render! Which program did you use?

Thanks!  I used my own software I'm developing.
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Sabine
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« Reply #115 on: March 05, 2017, 01:19:19 PM »

@Efoia Good luck then, looks very promising!
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #116 on: March 05, 2017, 10:39:05 PM »

Efoia I remember your program pls finish it  A Beer Cup
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Crist-JRoger
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« Reply #117 on: March 09, 2017, 12:08:00 AM »

Played some with Kleinian 2D here above, added some colors, and then desided to convert Jos Leys shader by myself ) So add more colors too. Thanks to Jos Leys and Kali for great shaders and fractals!


* run_Maskit_Kali-color.bmp Files.zip (6.38 KB - downloaded 18 times.)
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ericr
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« Reply #118 on: March 23, 2017, 11:16:23 AM »

if A=mat(t,-i,-i,0) and B=mat(1,2,o,1)
then tr(A^n*B^p)=2  give us a polynome p(t)
if I find t a have a cuspid

I use  wxMaxima a free software like "maple" formal cacul
It is a god think ??
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JosLeys
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« Reply #119 on: March 23, 2017, 11:32:18 AM »

I can send you a list of 19.000 values for t that generate cusps if you are interested.
No need to calculate them yourself.
Mind you, the current state of the algorithm as you find it in Fragmentarium or M3d will not allow to draw 'cusped' situations correctly as the 'separation line' gets very complicated.
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