# Toroidal Complete Graphs

In the graphs above, only $$K_4$$ can be drawn on a plane without any edge crossings, as illustrated below:

This cannot be done with $$K_5$$, yet it can be drawn on a torus without any edge crossings:

Top view of the torus. The blue dotted line is on the bottom side.

Can $$K_6$$ and $$K_7$$ be drawn on a torus without edge crossings?

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