Klein Bottle Maps
Last update=27 Apr, 2018
The distinct 2-cell embeddings of K3,3 and K5 on the Klein bottle are shown in the following links.
Embeddings of several other graphs are shown below -- the Petersen graph, the Paley graph on nine vertices, and the Möbius ladder on eight vertices.
Here the Klein bottle is represented as a rectangle a+b+a+b-, traversed clock wise, where the "a"-sides are the vertical sides, and the "b"-sides are horizontal.