CS5 3D Questions - Twisted Figure 8 Immersion of a Klein Bottle

I need a 3d representation of a twisted figure 8 immersion of a Klein Bottle. That is a torus made from a figure 8 cross section rather than a circle cross section, with a 180 degree twist from start/finish to where the torus joins back on itself. The final image can be recognized as a mobius strip made from tori, or as an immersion (similar to projection) from 4d space it is a solid with only one surface (inside and outside surface continuous) and no edges - a special case of a Klein Bottle.
Don't worry about the math if that is not your thing. You can get an idea of what I am trying to achieve from the Illustrator and Photoshop files in the zip file found at:
http://www.atwoodglass.com/temp/klein.zip
The final image needs to be an ellipse rather than a circle and needs to be stretched out so it has a lot of empty space in the middle. It also needs surface texture and certain surface features.
Originally I tried to do it in Illustrator using the 3d capabilities there. I did it using 3 tori with a clipping mask and layering to get the front torus to appear to join the middle torus then to join the back torus. I could get the proportions right, But as soon as I tried to map artwork onto the shapes I immediately ran into what seemed to be insurmountable stitching and shape problems. See the klein.ai Illustrator file from the zip file link above for the proportions I am trying for.
Next I tried Photoshop's 3d capabilities. It was surprisingly easy to get some form of twisted figure 8. The surface texture works perfect. I can do the surface distortions I need using the repoussé tool Internal Constraints. The problem is I can no longer get the overall proportions correct. See the klein.psd Photoshop file in the zip file link above for how a simplified version looks so far.
Is there any way to stretch the 3d mesh out like a rubber band such that the hole in the center is larger without the diameter of the figure 8 solid itself expanding?
The repoussé widget for choosing a point around which to bend the figure 8 360 degrees into a torus only allows points within the figure 8 itself. Essentially I need to bend around a point outside the figure 8.
Illustrator allowed this using the “Offset” option of 3d Revolve. But I can see no way in Photoshop.
Is there any way to distort the 3d image into an ellipse while maintaining the same cross section proportions of the figure 8 torus itself?
I can of course put the 3d mesh into a smart object and then scale just vertically. However, this of course also scales the cross section of the torus itself, not just the overall shape of the torus.
In Illustrator I achieved it by setting the 3d Revolve perspective to zero (no perspective) and then rotated the torus in the horizontal plane to appear as if it was an ellipse.
In Photoshop I can find no way to change or remove the perspective of a 3d object. When I rotate it in the horizontal plane the further portion becomes smaller and the closer portion becomes larger. Which of course is what perspective does in the real world. But not what I want here. If I use rotation in the horizontal plane I need either a zero perspective angle. Or the object as very far away and viewed through an extreme telephoto camera would also compress the perspective.
Or just being able to distort the mesh into an ellipse would work too. But I can not figure out how to do that. As far as I can figure, repoussé Constrains only allow me to work internal to the shape, not pull a section of the mesh as a whole.
I am sure I will get several answers along the lines of “I need to use a better 3d program”. If possible I need to use tools I already have. I do not have the money to buy an expensive 3d tool right now. I tried Blender but I think I need at least a week of going through tutorials just to get the hang of Blender's capabilities.
Thank you,
- Timothy Atwood

Essentially I need to bend around a point outside the figure 8. Illustrator allowed this using the “Offset” option of 3d Revolve. But I can see no way in Photoshop.
There is none. PS auto-calculates the center based on the bounding box. It doesn't even retain pivot points from imported meshes...
Is there any way to stretch the 3d mesh out like a rubber band such that the hole in the center is larger without the diameter of the figure 8 solid itself expanding?
No. You wouldn't stretch, you would have to use an alliptical sweep path and that's only something real 3D programs have...
I tried Blender but I think I need at least a week of going through tutorials just to get the hang of Blender's capabilities.
And you would have the same excperience with commercial programs as well. You're looking for an easy solution where none exists. 3D is complex on many levels and PS pretending for it to be easy by only providing a very,very limited set of tools doesn't change that. That being said, Blender is of course quirky in its own right, but feel free to download trials of otehr tools.... Some of them work for 30days as full versions just like Adobe tools.
Mylenium

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