Question: Hamilton (yes, the same Hamilton after whom Hamilton circuits were named) marketed a puzzle he called The Icosian Game, back in the 1850s. Figure shows the playing board, which had holes where vertices are shown. There was also a bin with 20 labeled pegs. The challenge given was, Can you place each peg into a hole so that following the pegs in order makes a trip around the entire board, back to where you started? (Well, can you?)