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The third level of the game tree is the first point at which transpositional symmetry can make a difference. Let us imagine that you have
The third level of the game tree is the first point at which transpositional symmetry can make a difference. Let us imagine that you have completely filled out the left corner first and middle center first branches of the game tree, and you are about to complete the right branch. How many NEW game states nodes or vertices not already in one of the other branches will there then be in the third level of the right branch. Remember, most of the possibilities are transpositions of vertices in the other branches, but don't neglect symmetry!
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