Petersen graph
Task number: 4095
Find the drawing of the Petersen graph on the projective plane and on the torus.
Solution
For the projective plane it is possible to draw as usual, only instead of crossing in the middle we use a cross-cap. A drawing with the cross-cap and also a drawing after the circular inversion are shown on the left and in the middle.
The drawing on the torus is shown on the right.