POV-Ray : Newsgroups : povray.newusers : creating calabi-yau manifolds : Re: creating calabi-yau manifolds Server Time
28 Jul 2024 14:20:15 EDT (-0400)
  Re: creating calabi-yau manifolds  
From: Mike Williams
Date: 21 Aug 2008 08:47:56
Message: <8l4ELSBKLWrIFwGd@econym.demon.co.uk>
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


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