EDIT: For those believing that Blender is good for mathematics or want to prove it, this may be helpful: Blender + Mathifold. I hope it does indeed meet the aspects I need Blender for.
I have recently discovered Blender and it seems a most powerful software. However, I am interested in mathematics visualization, pictures and media. To understand better the kind of things I am interested in, please visit the following links:
Ellipses (four videos in the middle of the page)
For such issues POV-Ray is usually recommended, but the design with Blender seems definitely easier. That is why I would like to ask you:
To what extent is it possible to design such mathematics visualization with Blender? And in this case, is there any place with a gallery of such pictures / videos?
Does Blender easily support rendering surfaces by parametric equations or (more difficult) implicit equations?
Is there anything else to recommend Blender for mathematics visualization?