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the "breath" of a piece, or places directly by the piece that you could connect it to
number of liberties a non-surrounded piece has
when a piece is directly surrounded by the opponents' pieces on 3 sides
the number of liberties a piece has when atari-ed
four of your pieces forming a diamond shape with a hole in the center
when you form two eyes with your playing. Also, that territory becomes impossible to be taken by the opponent.