HexGraph: Applying Graph Drawing Algorithms to the Game of Hex

Hex [1] is a two player board game which is traditionally played on a rhombic hexagonal pattern (See Figure (1)). Players are assigned a colour and make moves by putting a token of their colour onto an empty field on the board. The first player to connect the two borders of the board in his colour by a path of his tokens on the board wins the game. Alternatively, Hex is played on an undirected, tricoloured (Red, Blue, Unclaimed) graph G [2]. The fields are represented by nodes and adjacent fields on the board are connected by an edge. The four borders of the board are represented by one node of equivalent colour each (See Figure(1)).