Usually it’s really difficult to “show” what I do in mathematics, because to most people it’s just formulas – who cares if it’s topology or measure theory, it’s all the same. But I just finished a small project with a friend for a lecture called “Scientific Visualization”, and this is a result that you can just “watch”.
So, in case you have always been interested in the Petersen Graph and wondered how it is possible to embed it without edge intersection on the surface of the Cross Cap – well, I got a small report for you, and this animation:
(In case the <video> element fails in your browser, download it here:
MKV (recommended) or
MPG.)