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There is most certainly a set numbering system for identifying Fischer Random Chess positions. See:
http://frcec.tripod.com/fischerrandomchessstartingpositions/
While I'm on the subject, does anyone know where the name Chess960 came from? This game was invented by Bobby Fischer; has he accepted or acknowledged this new name?
Sorry Greg, but that is only one of *several* numbering systems I've seen. What I said was that there was no *standard* number system I was aware of. To show a mirror position in order to explain why there are technically only 480 positions if Orthodox Castling is used. The term 'Chess960' was invent by Hans-Walter Schmitt (chairman of the Frankfurt Chess Tigers e.V.) after debate over a new name that did not include Bobby Fischer's name.
There is of course a numbering scheme for Chess960 (Fischer Random Chess). I invented it some years ago, and it is widely accepted. For details see e.g. in my (German) book on Chess960 http://www.chessbox.de/Compu/fullchess1_e.html or see at the two page document I gave (first page with table) to the Chess Tigers http://www.chesstigers.de/download/chess960_regeln.pdf . With best regards, Reinhard Scharnagl.
CHESS960 top ratings: 1 Svidler,Peter 2755 2 Aronian,Levon 2752 3 Bacrot,Etienne 2746 4 Leko,Peter 2735 5 Adams,Michael 2735 6 Shirov,Alexey 2723 7 Morozevich,Alexander 2719 8 Ponomariov,Ruslan 2716 9 Dreev,Alexey 2711 10 Sokolov,Ivan 2687 11 Grischuk,Alexander 2682 12 Kobalija,Mihail 2679 13 Almasi,Zoltan 2676 14 Jussupow,Artur 2670 15 Zvjaginsev,Vadim 2670 16 Rublevsky,Sergei 2667 17 Landa,Konstantin 2660 18 Motylev,Alexander 2657 19 Sasikiran,Krishnan 2656 20 Nielsen,Peter-Heine 2652 21 Bologan,Victor 2650 22 McShane,Luke-James 2645 23 Gurevich,Mikhail 2643 24 Sargissian,Gabriel 2635 25 Milov,Vadim 2632 26 Harikrishna,Pentela 2628 27 Nisipeanu,Liviu-Dieter 2626 28 Gyimesi,Zoltan 2625 29 Vallejo Pons,Francisco 2624 30 Sutovsky,Emil 2622
Rather than thinking of 2 sets of 480 positions, perhaps it's better to think of 480 sets of 2 positions. The two positions in each set are related by left-right reflection, and have equivalent strategy trees.
I agree with John that it's aesthetically preferable to play all 960 positions, but if you want to choose just one from each pair, how about the one where the Queen is to the left of the King in White's starting position?
Reinhard, we have used your numbering scheme to identify Chess480 starting arrays (since these are identical to Chess960 positions) - I hope this is OK with you? Austin
[1] Chess players interested in ches480 or chess960 (a.k.a. Fischer Random Chess, FRC) may be interested to hear that a major new chess960 book has been published (Jan 2006). Title is: 'Play Stronger Chess by Examining Chess960: Usable Strategies of Fischer Random Chess Discovered' (ISBN 0-9774521-0-7) Searching in Amazon.com or Google.com will find the book. Or visit http://CastleLong.com/ [2] I suspect that chess480, with its castling rule having the King move two squares instead of to the traditional squares c1 or g1, would lead to LESS OPPOSITE WING castling games than would chess960/FRC. Thus I suspect the draw rate would be higher in chess480 than in chess960. Generally a higher draw rate is bad. In my chess960 book I describe a tweak of the chess960 castling rule, designed to increase the rate of opposite wing castling. Statistics show that the draw rate is lower when the two players castle to opposite wings. Opposite wing castling is almost rare in traditional 'chess1', which may be considered a flaw in the engineering of the rules (choices made when chess1 was invented in the 1400's). Basically, my rule would give the second player to castle more freedom to choose the destination square of his castling king, if but only if he castles to the opposite wing. Thank you. Gene Milener
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