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Thursday, January 30, 2014

Calculating variant 518 starting position

Debunking Wiki description of Scharnagl's methods (if you talking division, then do divide instead of illustrating divisions with reverse multiplications which will confuse every unsuspecting reader of this description)

518:16=32+6
where 6 is the bishop's code

               Scharnagl's Bishop's Table
-
  0  BB------   4 -BB-----   8 -B--B---  12 -B----B-
  1  B--B----   5 --BB----   9 ---BB---  13 ---B--B-
  2  B----B--   6 --B--B--  10 ----BB--  14 -----BB-
  3  B------B   7 --B----B  11 ----B--B  15 ------BB


Then divide q1 by 6
32:6=5+2

For any SP, after skipping over the bishop's, the queen may occupy any one of six possible squares, and they are numbered from left to right (from White's perspective) 0,1,2,3,4,5.




q2 gives the N5N code, so put the knights on the board (of course skipping over the bishops and queen).

Scharnagl's N5N Table
0 NN--- 5 -N-N-
1 N-N-- 6 -N--N
2 N--N- 7 --NN-
3 N---N 8 --N-N
4 -NN-- 9 ---NN



External links 



  1. The Chess960 Numbers Decoded
  2. Chess960 Start Positions 
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4 komentarze:

  1. Looking for Fritz9 reverse method to calculate 518 Starting Position.

    The reverse problem, given an id to find the position, can be solved in several ways. Fritz9 does this instantly, but, if for some reason, a manual method is desired, there are two possibilities. The repeated division process of the section above can be adapted to this setting (subtract 1, then do divisions by 4, by 4, and by 15), or the tables can be used.

    via Fischer Random Chess - Wikipedia, the free encyclopedia.

    ReplyDelete
    Replies
    1. Big deception with "Fritz 9 method"

      First of all it isn't any method but a different set of id numbers for completely different starting positions. Why nobody stated this explicitly in Wiki? In Fritz 9 system SP518 gets an ID of 359.

      Delete

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