Klein Bottle Maps

Last update=27 Apr, 2018

The distinct 2-cell embeddings of K_3,3 and K₅ on the Klein bottle are shown in the following links.

K_3,3 Klein bottle embeddings

K₅ Klein bottle embeddings

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.

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