In 1857, William Rowan Hamilton invented the game called the Icosian Game. The game consisted of a

Question:

In 1857, William Rowan Hamilton invented the game called the Icosian Game. The game consisted of a round board with 20 holes and 20 numbered pegs. On the surface of the board was a pattern similar to the graphs we have studied in this chapter (see photo and artwork below).

In essence, the object of the game was to use the pegs to form a Hamilton circuit on the graph. The graph below is taken from the Icosian Game. Determine a Hamilton circuit on this graph.

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