I have been reading a series of sci-fi novels by a physicist, Catherine Asaro.

I am looking for a program to render for uploading, the Klein Bottle she uses as a power source for her ships. 
All freeware and shareware programs are welcome.

Thanks,
VikingLady

Sorry, can't help with a program but you might be interested in the following Wikipedia link giving info on the Klein bottle.

http://en.wikipedia.org/wiki/Klein_bottle

David

Have you had a look at Chaoscope?

http://www.btinternet.com/~ndesprez/

T.

@dgrundy. Thnx. Catherine has those references in one of her novels.

@tdierikx. Thnx.  I will try that program.

Any other programs that may be capable of making the bottles?

vikinglady, Try k3DSurf; it's a great piece of software.  Here's an image of a Klein Bottle shown within K3DSurf http://TropicalEarth.smugmug.com/photos/125808140-L.jpg  I render these mathematical constructs as OBJ's and then import then into Bryce & Carrara.  K3DSurf is free and you can find it at http://k3dsurf.sourceforge.net/  I really enjoy using it.  Regards -

Ultrafractal has a few algorithms and formulas that will make shapes like these. Specifically, the "3d Spheres" algoritm in the mtz.ucl folder will make a Kleinian bottle shape.  And some of Ron Barnett's formulas (reb.ufm) list a "Klein Bottle" - though the one abstract example I saw didn't look like a classic Klein Bottle - or a "Kleinian Group" as some of their modifyable parameters. He has a coloring algorithm called "Kleinian Group Raytrace" that makes soem really cool spheroid patterns but I don't thing they are actually Kleinian "bottle" shapes. Jos Leys writes a lot of formulas for Ultrafractal that produce shapes like this too, though most are his private ones that he doesn't give to anyone else to use because  - I think - they might only make one specific shape and I reckon then everybody would make the same thing if they had them.

Good luck!
Rick