TITLE: Glass Swirl
NAME: Michael James Grady
COUNTRY: USA
EMAIL: mgrady@mindspring.com
WEBPAGE: http://www.cs.gsu.edu/~matmjg/surfaces
TOPIC: Glass
COPYRIGHT: I SUBMIT TO THE STANDARD RAYTRACING COMPETITION COPYRIGHT.
JPGFILE: swirl.jpg
RENDERER USED: povray 3.0 beta
TOOLS USED: Mathematica
RENDER TIME: 70 minutes
HARDWARE USED: Pentium 133

IMAGE DESCRIPTION: 

The Klein bottle is a fundamental surface in topology, and is quite 
beautiful in its own right. This form of the Klein bottle is not well known. 
     

DESCRIPTION OF HOW THIS IMAGE WAS CREATED: 

To obtain this image of the Klein bottle, I used the parametric description
given by C. Henry Edwards in his Mathematica notebook "Twisted Tubes.ma". After
Mathematica computed the necessary graphics primitives the file was converted
to DXF format using an efficient converter written by John Novak. This was then
converted to a pov file using the converter dxf2pov. Alternatively, one could
use the package written by Roman Maeder in his book on Mathematica Programming.
PovRay users should consult his chapter on Ray Tracing. The geometry file is
about a megabyte, and is not included. Interested parties should send me e-mail
at this address: matmjg@cs.gsu.edu