Embeddings of K_3,3 on the Double Torus

Last update=28 April, 2018

There is a unique 2-cell embedding of K3,3 on the double torus.

Here the double torus is represented as an octagon on the hyperbolic plane, a+b+a-b-c+d+c-d-, travelled in a clockwise direction: a=blue, b=green, c=red, d=black. The two edges of each colour are to be identified.

There are numerous 2-cell embeddings of K5 on the double torus. Some of them will be posted later.