I would like to make visualisations of calabi-yau manifolds, like this http://en.wikipedia.org/wiki/Calabi-Yau_manifold" [Broken] (the image on the right).

It would appear that http://www.povray.org/" [Broken] 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?

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 .