POV-Ray : Newsgroups : povray.newusers : creating calabi-yau manifolds : Re: creating calabi-yau manifolds Server Time
28 Jul 2024 14:18:43 EDT (-0400)
  Re: creating calabi-yau manifolds  
From: smirkingman
Date: 21 Aug 2008 17:00:00
Message: <web.48add6224a9a9f045afe6fd0@news.povray.org>
Mike Williams <nos### [at] econymdemoncouk> wrote:
> Wasn't it smirkingman who wrote:
> >I would like to use POVRay to create (hopefully pleasing) images of calabi-yau
> >manifolds, like http://en.wikipedia.org/wiki/Calabi-Yau_manifold.
> >
> >I'm a complete newbie, so any pointers to .pov files or tuts would be most
> >appreciated.
>
> POVRay doesn't solve 6-dimensional polynomials of complex variables, so
> you'll need to find a way to express a 3-dimensional cross section of
> the manifold using only expressions that are available in POVRay.
>
> If you end up with something that can be expressed as a polynomial of x,
> y and z, then you can use the poly object.
>
> If you end up with something that can be expressed as
>         F(x,y,z) = 0
> where F is a function that uses only trig functions, hyperbolic trig
> functions, logs, powers and simple arithmetic on real variables, then
> you can use an isosurface.
>
> If you end up with something that can be expressed as
>         x = Fx(u,v)
>         y = Fy(u,v)
>         z = Fy(u,v)
> Then you can use a parametric object. Parametric objects can be
> extremely slow, but you can use Ingo Janssen's Param.inc to approximate
> them with smooth meshes.
>
> --
> Mike Williams
> Gentleman of Leisure

Thank you for taking the time to reply so promptly, I'm very grateful.
I'll explore what you suggested and see if a solution is possible.
Best regards,
Maurice


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