I would like to make visualisations of calabi-yau manifolds, like this http://en.wikipedia.org/wiki/Calabi-Yau_manifold (the image on the right).(adsbygoogle = window.adsbygoogle || []).push({});

It would appear that POVRay is the appropriate tool (I suspect, after much Googling, that the image was created with POVRay), but it can only handle 3 dimensions: here is the answer that a kind POVRay wizard gave me:

Is there a way to express CY projections like this with a 3-dimensional formula? 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.

My apologies if this question provokes only mirth because it's so stupid - my education stopped at a manifold being a part of an internal combustion engine .

Thanks in advance

Maurice

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# Visualising calabi yau manifolds

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