Five Pictures of the Petersen Graph

Five pictures of the ubiquitous Petersen graph are shown below. The Petersen graph has cycles of four different lengths: 5, 6, 8, and 9. Each of the first four pictures uses one of these cycle lengths for the outer boundary.

To see an animation that shows the isomorphism between the first two pictures, click here.

The Standard Picture (5-cycle):

The Neighborhood Structure (6-cycle):

The Petersen graph from the Mobius Ladder (8-cycle):

The Petersen graph is hypohamiltonian (9-cycle):

The Crossing Number of the Petersen graph is 2: