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nodnarbo: you are not stupid, do not say this about yourself... we are learning and trying to invent something ... I honestly do not know how you got this idea about two edges ... but, do we really need to care about this ... look, as a first player you put you plow on any numbered square and collect points from this square ... your opponent does the same. After these two moves any mirrors are removed or, if you stepped on a double you chosen any double to be removed. In your next move you move two places in any chosen direction and collect points for this move. At the same time any two mirrors are removed from the board ... game continue this way until there is no more numbered squares on the board ... when the board is becoming emptier, plows are racing two spaces to get to numbered squares ... in my opinion all the numbered squares can be cleared unless there is a situation I cannot see right now ... but even then it's easy to determine the winner ... Andy.