The Descartes snarks are a set of (strong) snarks on 210 vertices and 315 edges discovered by William Tutte in 1948 writing under the pseudonym Blanche Descartes (Descartes 1948; Holton and Sheehan 1993, pp. 93-97). The Descartes snark illustrated above will be implemented in a future version of the Wolfram Language as GraphData["DescartesSnark1"].
Descartes snarks are obtained by replacing each vertex of the Petersen graph with a 9-cycle and each edge with a graph related to the Petersen graph. This procedure can be performed in a number of ways, leading to multiple distinct Descartes snarks.
