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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Tue Dec 30, 2008 7:34 pm    Post subject: Reply with quote

Hi Gerd,
What a beautiful (and complex object) Cube Surprised
May the complexity be always with you in 2009 Very Happy
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Abderrahman
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Fri Jul 03, 2009 8:04 am    Post subject: Archimedian Spirals Reply with quote

Let's play with archimedian spirals!
So copy this codes to your 'personal.k3ds' file for further experiments...


Code:
Name: PG_ArchiSpiral_1
/* Isosurface: PG_ArchiSpiral_1  clockwise spiral  1/2009 Gerd Platl */
F(): 0.5 - z*z - sin((sqrt(x*x+y*y) - 0.5*atan2(y,x)))^2
[x]: -9 , 9
[y]: -9 , 9
[z]: -0.71 , 0.71
;



Code:
Name: PG_ArchiSpiral_2
/* Isosurface: PG_ArchiSpiral_2  counterclockwise spiral  1/2009 Gerd Platl */
F(): 0.5 - z*z - sin((sqrt(x*x+y*y) + 0.5*atan2(y,x)))^2
[x]: -9 , 9
[y]: -9 , 9
[z]: -0.71 , 0.71
;



Code:
Name: PG_DoubleSpiral_1
/* Isosurface: PG_DoubleSpiral_1  1/2009 Gerd Platl */
F(): 0.5 - z*z - sin((sqrt(x^2+y^2) -atan2(y,x)))^2
[x]: -9 , 9
[y]: -9 , 9
[z]: -0.71 , 0.71
;



Code:
Name: PG_OverlapSpiral_3
/* Isosurface: PG_OverlapSpiral_3  7/2009 Gerd Platl */
F(): 0.05 -z*z - sin((sqrt(x*x+y*y)))^2 + sin((sqrt(x*x+y*y)
  - (11*atan2(y,x))))^2
[x]: -9 , 9
[y]: -9 , 9
[z]: -1.1 , 1.1
;


Last edited by inode on Sun Nov 04, 2012 1:09 pm; edited 1 time in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Tue Aug 25, 2009 7:09 am    Post subject: Reply with quote

Was playing around with object transparency.
Here are some pictures... Razz

http://www.flickr.com/photos/flisp3d/4170676913/


http://www.flickr.com/photos/flisp3d/4171434398/


http://www.flickr.com/photos/flisp3d/4170677703/


Last edited by inode on Tue Aug 03, 2010 12:13 pm; edited 4 times in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Tue Aug 25, 2009 9:43 am    Post subject: Twisted Torus Reply with quote

And here are some PovRay pictures of a 4 edges twisted torus...


Using polished metal as material gives some nice reflections...


Twisted Torus combined with a Schartz surface..


12 edges twisting around the torus...


Last edited by inode on Fri Jul 09, 2010 1:52 pm; edited 5 times in total
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inode



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Posts: 127
Location: Austria

PostPosted: Wed Aug 26, 2009 8:55 am    Post subject: Reply with quote

some pillar examples...



Last edited by inode on Sat Jan 22, 2011 10:01 am; edited 7 times in total
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jotero



Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

PostPosted: Thu Aug 27, 2009 12:45 pm    Post subject: Reply with quote

Hello Gerd,

very nice and interesting work!

ciao
Torolf
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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Sat Sep 19, 2009 5:17 am    Post subject: Reply with quote

Hi all,
Very funny collection Gerd Cool ...Thanks for sharing
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Abderrahman
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Fri Jul 09, 2010 1:38 pm    Post subject: Reply with quote

inspired by joteros surface design I was creating this nice sculpture



Code:
Name: PG_SurfaceDesign_1
/* Isosurface: PG_SurfaceDesign_1, 6/2010 by Gerd Platl */
F(): 0.7
- abs (cos(x)*sin(z) + cos(y)*sin(x) + cos(z)*sin(y)) / 0.4
-0.85*abs (sin(3*x)*sin(2*y)*sin(z)
         + sin(2*x)*sin(3*y)*sin(z)
         + sin(3*x)*sin(y)*sin(2*z)
         + sin(x)*sin(3*y)*sin(2*z)
         + sin(2*x)*sin(y)*sin(3*z)
         + sin(x)*sin(2*y)*sin(3*z))
-(x^22 + y^22 + z^22)*2E-14
[x]: -4.5 , 4.5
[y]: -4.5 , 4.5
[z]: -4.5 , 4.5
;


Last edited by inode on Sat Jan 22, 2011 9:59 am; edited 1 time in total
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inode



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Posts: 127
Location: Austria

PostPosted: Sat Jan 22, 2011 9:51 am    Post subject: Another surface variant Reply with quote

Another surface variant rendered with PovRay 3.7RC1

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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sun Aug 05, 2012 4:50 am    Post subject: Supernuts Reply with quote

Some short but interesting formulas... Supernuts


Code:
Name: PG_SuperNut1
/* Isosurface:  PG_SuperNut1  8/2012 Gerd Platl */
F(): (1-sqrt(x^2+y^2+z^2))^9 - y^2*x^2*z^2
[x]: -1 , 1
[y]: -1 , 1
[z]: -1 , 1
;

Name: PG_SuperNut2
/* Isosurface:  PG_SuperNut2  8/2012 Gerd Platl */
F(): (1-(x^22+y^22+z^22))^9 - 1000*y^2*x^2*z^2
[x]: -1 , 1
[y]: -1 , 1
[z]: -1 , 1
;

Name: PG_SuperNut3
/* Isosurface:  PG_SuperNut3  8/2012 Gerd Platl */
F(): (1-sqrt(sqrt(x^8+y^8+z^8)))^9 - y^2*x^2*z^2
[x]: -1 , 1
[y]: -1 , 1
[z]: -1 , 1
;

Name: PG_SuperNut4
/* Isosurface:  PG_SuperNut4  8/2012 Gerd Platl */
F(): (1-(x^8+y^8+z^8))^7 - y^2*x^2*z^2
[x]: -1 , 1
[y]: -1 , 1
[z]: -1 , 1
;
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Tue Aug 07, 2012 1:14 pm    Post subject: Barths s.e.x.t.i.k and decic surface variations... Reply with quote

A nice variation of Barths Se.xtik surface...

Code:
Name: PG_Se.xtikStar_1
/* Isosurface: PG_SectikStar_1  7/2012  Gerd Platl */
F(): 0.3 + 4*(((1+sqrt(5))/2)^2*x^2-y^2)
            *(((1+sqrt(5))/2)^2*y^2-z^2)
            *(((1+sqrt(5))/2)^2*z^2-x^2)
     - (x^2+y^2+z^2-1)^2 * 5
[x]: -1.36 , 1.36
[y]: -1.36 , 1.36
[z]: -1.36 , 1.36
;

And a nice variation of Barths Decic surface...

Code:
Name: PG_DecicStar_1
/* Isosurface: PG_DecicStar_1  8/2012  Gerd Platl */
F(): 0.5 -8
 * (x^2-((sqrt(5)+1)/2)^4*y^2)
 * (y^2-((sqrt(5)+1)/2)^4*z^2)
 * (z^2-((sqrt(5)+1)/2)^4*x^2)
 * (x^4+y^4+z^4 - 2*x^2*y^2
                - 2*y^2*z^2
                - 2*z^2*x^2)
 - (3 + 5*(sqrt(5)+1)/2) * (x^2+y^2+z^2 - 1)^2
         * (x^2+y^2+z^2 - (1.6- (sqrt(5)+1)/2))^2
 - (x^2+y^2+z^2-1)^2
[x]: -1.32 , 1.32
[y]: -1.32 , 1.32
[z]: -1.32 , 1.32
;

Stefan was rendering this figure using bright copper metal with the Maxwell renderer at http://forum.jotero.com/viewtopic.php?t=258&postdays=0&postorder=asc&start=90. Isn't it brilliant?

(ps. pictures created with my 'Algebraic Surface Viewer')


Last edited by inode on Thu May 02, 2013 1:36 pm; edited 2 times in total
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Furan



Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

PostPosted: Fri Aug 10, 2012 6:33 pm    Post subject: Reply with quote

It's a nice object indeed.
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Mon Aug 13, 2012 8:05 am    Post subject: Rendering details ? Reply with quote

Hi Furan
That's really a beautiful visualised object using that green glass.
The ray refractions and reflektions produce an interesting and contrasty picture.

Please can you give us more detailed information about the rendering process?
Which render engine do you use?
How long was the rending time ?
used CPU ?
number of light sources ?
any other noteable infos you can give to us ?
Wink Gerd
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Furan



Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

PostPosted: Mon Aug 13, 2012 10:32 am    Post subject: Reply with quote

I used my own fortran engine for meshless rendering. http://furan.sweb.cz/
This image was rendered in 10x10 AA, on three cores in several hours. Up to 20 branches in reflection/refraction ray tree. No dispersion.
I think I may have used a slight internal glow in the glass to make it more realistic (to mimic subsurface scattering).
Background function is
Code:

DO f=1,3
BGND(f)=0.35*(-0.25*f*(1+0.3*ry)+1.5*(1+0.3*rx))+8*exp(-20*rx**2-20*ry**2)
END DO

with [rx ry rz] as the escaping ray vector and f as RGB color identifier.
This function is of course too complex, it's a remnant of a more sophisticated function.
So from the last part of the expression you can see there are two major light sources, right above and under. The camera position is [5.3 3.7 4.5] relative to the center of the object.
At the end I used a filter for bloom effect but its almost negligible.
There are still things I don't like. I mean the black areas, where my interpolating algorithm collapsed and where I decided to skip the whole subpixel calculation. Something went wrong in there, it's still work in progress. I now have a working algorithm for correcting any part of the image. I can take the image, paint all artefacts with bright green [0,1,0] and it identifies the pixels and calculates them with better precision or so. It's so cool Smile
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Mon Aug 13, 2012 1:21 pm    Post subject: Reply with quote

Hi Furan
Many thank for your detailed description!


Last edited by inode on Mon Aug 13, 2012 1:27 pm; edited 3 times in total
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