Hi.

Does anyone know if it is possible to calculate the Mandelbrot set in 3D,
and if this is possible to render with POV?

Regards,

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<ake### [at] goteborgmailteliacom> wrote:

>Hi.
>
>Does anyone know if it is possible to calculate the Mandelbrot set in 3D,
>and if this is possible to render with POV?
>
>Regards,


You're lucky, two minutes ago I was looking at Mark's post looking for
the formula that he posted there so that I can give it to Warp for his
fractal patch, so here I am with this thing in the clipboard:

#declare Rn = (R*R-I*I)+X;
#declare In = (2*R*I-J*J)+Y;
#declare Jn= (2*J*I+2*J*R)+Z;

The relevant thread is called "3D Mandelbrot set" started by Mark
Wagner on Oct. 1 in p.b.i. I hope this answers your question :)


Peter Popov
ICQ: 15002700

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On Tue, 02 Nov 1999 16:40:15 -0800, Ken <tyl### [at] pacbellnet> wrote:

>Even luckier since I have two versions available:
>
>  //Warp's shortest mandelbrot shape code
>  camera{location<1,2,2>look_at 0}light_source{z*9+y*9,1}#local Z=-1;#while(Z<1)
>  #local X=-2;#while(X<1)#local r=X;#local i=Z;#local n=0;#while(n<1&r*r+i*i<4)
>  #local a=2*r*i+Z;#local r=r*r-i*i+X;#local i=a;#local n=n+.05;#end sphere{
>  <X,n/2,Z>.02 pigment{rgb<1,n,0>}}#local X=X+.02;#end#local Z=Z+.02;#end
>
>
>  //Mark Wagner's slightly longer code
>  camera{location<yes,yes+on,yes+true> look_at -u }light_source{9-9*x
>  yes}#declare Z=-true;#while(Z<on)#declare X=-2;#while(X<true)#declare
>  r=X;#local i=Z;#version clock;#while((version<true)&(((r*r)+(i*i))<4))#local
>  a=((2*r*i)+Z);#local r=((r*r)-(i*i)+X);#local i=a;#version
>  (version+.05);#end sphere{<(X),(.5*version),(Z)>.02 pigment{ color
>  ((z*version)+v+(x*(1-version)))}}#declare X=(X+.02);#end#local
>  Z=(Z+.02);#end

These are 2D M-Sets, Ken. There already is such a pattern in POV

are three parts of Z, namely R, I and J.


Peter Popov
ICQ: 15002700

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Peter Popov wrote:
> 

> <ake### [at] goteborgmailteliacom> wrote:
> 
> >Hi.
> >
> >Does anyone know if it is possible to calculate the Mandelbrot set in 3D,
> >and if this is possible to render with POV?
> >
> >Regards,

> 
> You're lucky, two minutes ago I was looking at Mark's post looking for
> the formula that he posted there so that I can give it to Warp for his
> fractal patch, so here I am with this thing in the clipboard:

  You might find this interesting. This was just submitted to the links
collection and looks interesting at least for those interested in fractal
based programs.

***
Fractal Programs - A number of Win32 (fractal) programs by Terry Gintz,
one (FractalZPlot) being especially interesting because of the ability
to convert the z-buffer information of its 3d-fractal types to Wavefront
OBJ-format. These in turn can be converted by one of the many conversion
programs available to povray format for rendering of the 3D fractal object.

http://www-hs.iuta.u-bordeaux.fr/terry/

***

-- 
Ken Tyler -  1100+ Povray, Graphics, 3D Rendering, and Raytracing Links:
http://home.pacbell.net/tylereng/index.html http://www.povray.org/links/

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Peter Popov wrote:

> These are 2D M-Sets, Ken.

Ok fine ! Last time I try to help someone around here again.

-- 
Ken Tyler -  1200+ Povray, Graphics, 3D Rendering, and Raytracing Links:
http://home.pacbell.net/tylereng/index.html http://www.povray.org/links/

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Ken <tyl### [at] pacbellnet> writes:

> Peter Popov wrote:
> 
> > These are 2D M-Sets, Ken.
> 
> Ok fine ! Last time I try to help someone around here again.

I hope there is a smiley missing...

Thomas


-- 
http://thomas.willhalm.de/
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Peter Popov <pet### [at] usanet> wrote:
: #declare Rn = (R*R-I*I)+X;
: #declare In = (2*R*I-J*J)+Y;
: #declare Jn= (2*J*I+2*J*R)+Z;

  Where does this formula come from? Is the formula for Jn just a randomly
chosen one?
  What's the bailout value?

-- 
main(i,_){for(_?--i,main(i+2,"FhhQHFIJD|FQTITFN]zRFHhhTBFHhhTBFysdB"[i]
):5;i&&_>1;printf("%s",_-70?_&1?"[]":" ":(_=0,"\n")),_/=2);} /*- Warp -*/

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Thomas Willhalm <tho### [at] willhalmde> wrote in message
news:qqm### [at] goldachfmiuni-konstanzde...
> Ken <tyl### [at] pacbellnet> writes:
>
> > Peter Popov wrote:
> >
> > > These are 2D M-Sets, Ken.
> >
> > Ok fine ! Last time I try to help someone around here again.
>
> I hope there is a smiley missing...

Irony is such a difficult thing...

--

------------------------------------------------------------------------
  +47 90 62 71 78        DoD#2101, NIC#015, Ducati M600, PJ#006, OGM#007
  azo### [at] dodno, "Do one thing every day that scares you." --Mary Schmich

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On Wed, 03 Nov 1999 04:29:17 -0800, Ken <tyl### [at] pacbellnet> wrote:

>
>
>Peter Popov wrote:
>
>> These are 2D M-Sets, Ken.
>
>Ok fine ! Last time I try to help someone around here again.

Nah, we won't let you quit, Ken :) . Frankly, we need you. And yeah,



Peter Popov
ICQ: 15002700

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On Wed, 03 Nov 1999 04:15:24 -0800, Ken <tyl### [at] pacbellnet> wrote:

>  You might find this interesting. This was just submitted to the links
>collection and looks interesting at least for those interested in fractal
>based programs.
>
>***
>Fractal Programs - A number of Win32 (fractal) programs by Terry Gintz,
>one (FractalZPlot) being especially interesting because of the ability
>to convert the z-buffer information of its 3d-fractal types to Wavefront
>OBJ-format. These in turn can be converted by one of the many conversion
>programs available to povray format for rendering of the 3D fractal object.
>
>http://www-hs.iuta.u-bordeaux.fr/terry/
>
>***

Now this is definitely worth checking out! I will do so as soon as I
get online. Deform_Mesh, here I come!


Peter Popov
ICQ: 15002700

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