John wrote: > which confirm yours. we also found a general formula n^2 - > floor((n^2+4n-16)/5)
The formula can also be written floor(4n(n-1)/5+4) for a slightly more compact expression. > here's a nice symmetric 19x19 position with 277 strings: > > X O . O . O X O . O . O X O . O . O X > . X O X O X . X O X O X . X O X O X . > X O X . X O X O X . X O X O X . X O X > O . O X O . O . O X O . O . O X O . O > X O X . X O X O X . X O X O X . X O X > . X O X O X . X O X O X . X O X O X . > X O . O . O X O . O . O X O . O . O X > . X O X O X . X O X O X . X O X O X . > X O X . X O X O X . X O X O X . X O X > O . O X O . O . O X O . O . O X O . O > X O X . X O X O X . X O X O X . X O X > . X O X O X . X O X O X . X O X O X . > X O . O . O X O . O . O X O . O . O X > . X O X O X . X O X O X . X O X O X . > X O X . X O X O X . X O X O X . X O X > O . O X O . O . O X O . O . O X O . O > X O X . X O X O X . X O X O X . X O X > . X O X O X . X O X O X . X O X O X . > X O . O . O X O . O . O X O . O . O X Notice also that if you cut out a 4x4, 7x7, 10x10, 13x13, or 16x16 subboard including one of the corners, that gives you a maximum strings position for that boardsize. The pattern can trivially be extended to 22x22, 25x25, and so on but then it no longer gives a maximum strings position. /Gunnar _______________________________________________ computer-go mailing list [email protected] http://www.computer-go.org/mailman/listinfo/computer-go/
