All Questions
Tagged with mathematics chess960
8
questions
2
votes
1
answer
67
views
Is there a Chess 960 position in which White's moves can be decreased to zero without check?
Inspired by this question, koedem proved that, from the starting position, White's legal move amount can be decreased sequentially from 20 to 0 in 20 moves. However, doing so required some checks. I ...
- 17.7k
-1
votes
1
answer
480
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What is white's increased advantage in chess90 as compared to chess870? (Chess960 can be split into 2 subsets, chess90 and chess870)
Here, it is shown 90 of 960 positions involve having to move a rook on 1 side in order to castle on the other side (unless the rook is somehow captured or something). These 90 positions come from 18 ...
- 2,172
2
votes
1
answer
748
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How many Chess960 positions exist in which castling on one side does not require moving the rook on the other side?
Update: It's chess870 (or chess869). See answer.
Context/Motivation/Goal: In regular chess, you never have to move a rook (on 1 side) to castle (on the other side). My aim is to see how much of 9LX ...
- 2,172
6
votes
2
answers
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Chess480: Why 480?
From wiki:
Lewis has named this chess variation "Chess480"; it follows the rules of Chess960 with the exception of the castling rules. Although a Chess480 game can start with any of 960 ...
- 2,172
7
votes
1
answer
964
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Relation between ratings for Chess960 and standard chess
Is there any relation or any attempt at discovering a relation between Chess960 ratings and standard chess ratings? This can be for GMs, for (any)M's, for pro players, or for all players on lichess/...
- 2,172
4
votes
1
answer
687
views
Minimal number of moves before castling in Chess960
As you know, in the initial position Chess960 the king lies between the two rooks. Here are the rules for castling.
For a starting position P, let n(P) be the minimal number of moves that White needs ...
- 409
10
votes
4
answers
4k
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How to calculate the number of combinations for Chess960 positions
Can someone derive how do we get the total number of 960 possible positions for Chess960?
- 219
6
votes
1
answer
325
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Is there a formula that converts a number from 0 to 959 to a corresponding chess960 position?
I am looking into a website with starting positions for chess960.
000 BBQNNRKR
001 BQNBNRKR
002 BQNNRBKR
003 BQNNRKRB
004 QBBNNRKR
005 QNBBNRKR
...
959 RKRNNQBB
So there is a table that converts any ...
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