Towards the surreal
6. Towards the surreal
If you are wondering why this game is called Neutral Hackenbush, Hackenbush is a game where the edges attached to the horizontal line are in two colors, azure and black. When player A makes a move, only azure edges can be hacked while when player B makes a move only black edges can be hacked. This is a partizan game rather than an impartial game.
For the Neutral Hackenbush game above it is not hard to show that each of these individual trees can be replaced by a path, so that any Neutral Hackenbush games which consist of sets of (finite) trees can be reduced to playing a game of Nim.
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