All Questions
Tagged with mathematics records
19
questions
3
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0
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40
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Maximum saved moves to win caused by zugzwang
For a zugzwang where x>y and:
If white has the move, White can force checkmate in x full moves
If Black has the move, White can force checkmate in y full moves
The score of such a zugzwang is x-y....
- 796
3
votes
2
answers
2k
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Longest checkmates in (almost) fully covered boards?
What are the longest checkmates from initial positions which are (almost) fully covered in pieces? Down below I'll give examples of what I mean. An almost fully covered position can't be legal, ...
- 99
1
vote
1
answer
164
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Are all moves or types of moves (see details) in chess possible?
Inspired by this video The rarest move in chess, in which moves are categorized based on the format of their algebraic notation, so for example the rarest type of move (according to the author and ...
- 592
5
votes
1
answer
250
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Longest checkmates with the biggest material disadvantages in "open" positions?
We can ask a question:
What are the longest checkmates with the biggest material disadvantages? What, approximately, is the function between length of the checkmate and possible size of the material ...
- 99
3
votes
1
answer
184
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How often can the initial position be repeated under FIDE tournament rules?
Recently a game was played where two GMs swapped kingside and queenside knights and then agreed a draw (and got their just dessert): How often can the starting position be repeated in a game without ...
- 16.8k
-1
votes
1
answer
75
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Longest sequence of moves where White's number of available moves does not change
There are challenges for the longest sequence of moves in which white's available moves increase or decrease. This challenge is for the longest sequence of moves (from the opening position) in which ...
- 3,340
2
votes
0
answers
97
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What is the longest sequence of increasing White moves with only White pieces?
Inspired by a comment by @Evargalo on this question, I ponder how long a sequence can last where each turn, White has more available moves than the previous turn, in a situation with only White pieces ...
- 17.7k
2
votes
1
answer
67
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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
6
votes
4
answers
637
views
Longest sequence of moves where white's number of available moves decreases
An easier version of this
White has 20 available moves at the start of the game (from the standard position). After 1.h3 h5, white has 19 available moves. (The h pawn has lost the ability to move two ...
- 3,340
6
votes
3
answers
253
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Longest sequence of moves where number of available moves increases
White has 20 available moves at the start of the game. After 1.a4 e5, white has 21 available moves. (The rook has gained 2 moves, while the pawn has lost 1).
What is the longest sequence of moves ...
- 3,340
1
vote
1
answer
100
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Roundtrips with no shortcuts
In the picture, you see the longest roundtrip of a rook such that there are no "shortcuts" - imagine the target squares are given, then at each square you have exactly two other given ...
- 16.8k
11
votes
1
answer
449
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Open problems in chess involving maximum material imbalances
I am posting the present question since here Very unbalanced Chess Positions I have introduced three open problems (i.e., the third one, the fourth one, and the sixth one from the above), regarding ...
- 261
2
votes
1
answer
159
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How many unoriginal pawn moves can be made in a single game?
Consider an "unoriginal pawn move" to be a pawn move whose notation matches a move already played in the game. For instance, after 1.e4 e5 2.d4 exd4 3.e5, there is one unoriginal pawn move, ...
- 3,340
5
votes
2
answers
3k
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How many times can the same pawn move be made in a game?
How many times in a game can "the same pawn move" be made? By "the same pawn move", I mean, a move made by a pawn that would be notated the same way.
For instance, after 1.e4 e5 2....
- 3,340
4
votes
1
answer
162
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A mobility puzzle
[FEN "8/8/8/8/pp6/kp6/1p6/1K6 w KQkq - 0 1"]
This is a well-known position: both sides are stalemated (if it's their move). It's the lightest position with this property.
Devise the ...
- 16.8k