Author: Timothy J. Frohlick
Date: 23:59:23 01/12/00
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> >Dan, > >I don't think the "a" pawn is going to end up on the e,f,g,or h files and don't >forget that the black pawns prevent occupation except by capture of the white >pawns. You also have to account for en passant which usually occurs only once >per game at most. > [D]8/pppppppp/8/8/8/8/PPPPPPPP/8 w > >So the progression should be 20x19x18....etc and be extended out for a total of >sixteen pawns. 20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4= 8.109673360589e+17 >which is a pretty big number of possibilities. Even if we limited the combos >to (Whitemoves x 10x9x8x7x6x5x4x3) + (Blackmoves x 10x9x8x7x6x5x4x3)=3,628,800 >possibilities you can see that we will not run out of moves soon. If the >average game is 75 moves or 150 ply we would have to play at least 24,192 games >to exhaust the possibilities. Again, since not every move is a pawn move we >would have a variable number of pawn moves and positions. So if only one >quarter of our moves are pawn moves we would have to play about 100,000 games to >come to a correct estimation of the number of different pawn structures. > >This is just my opinion and is probably wrong. > >Tim Frohlick
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