Author: Ed Trice
Date: 09:25:08 01/18/04
I compiled some B+N vs. lone K data for the 80-square Gothic Chess board. I am not 100% certain the database is correct (I am still testing positions and the play.) Here is what I have for optimal move-to-win: Mate in 1 moves: 2400 positions Mate in 2 moves: 1324 positions Mate in 3 moves: 3247 positions Mate in 4 moves: 16136 positions Mate in 5 moves: 49640 positions Mate in 6 moves: 60757 positions Mate in 7 moves: 78414 positions Mate in 8 moves: 58897 positions Mate in 9 moves: 57946 positions Mate in 10 moves: 60434 positions Mate in 11 moves: 110168 positions Mate in 12 moves: 168635 positions Mate in 13 moves: 254549 positions Mate in 14 moves: 294188 positions Mate in 15 moves: 261796 positions Mate in 16 moves: 213463 positions Mate in 17 moves: 171700 positions Mate in 18 moves: 179002 positions Mate in 19 moves: 193550 positions Mate in 20 moves: 275013 positions Mate in 21 moves: 421860 positions Mate in 22 moves: 618981 positions Mate in 23 moves: 743712 positions Mate in 24 moves: 793462 positions Mate in 25 moves: 768425 positions Mate in 26 moves: 880231 positions Mate in 27 moves: 1022307 positions Mate in 28 moves: 1397010 positions Mate in 29 moves: 1849137 positions Mate in 30 moves: 2444455 positions Mate in 31 moves: 3131093 positions Mate in 32 moves: 3661812 positions Mate in 33 moves: 3506075 positions Mate in 34 moves: 2590711 positions Mate in 35 moves: 1388359 positions Mate in 36 moves: 482325 positions Mate in 37 moves: 101621 positions Mate in 38 moves: 13804 positions Mate in 39 moves: 1788 positions Mate in 40 moves: 245 positions I am not sure if these numbers make sense. Why did the mate in 2 count decrease from the mate in 1 count? Does the growth then subsequent tapering down mirror data for B+N vs. K in 8x8 chess? Please let me know. --Ed
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