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In the picture below you can see the graphs of K5, the complete graph on 5 vertices, and K3,3, the complete bipartite graph on 3 and 3 vertices. A theorem states that these graphs cannot be embedded into plane, namely one cannot draw graphs K5 and K3,3 on a plane in such a way that there are no intersecting edges.
The question is: can you draw the graphs K5 and K3,3 without intersecting edges on a torus?

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