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Results tagged with problems
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user 11629
Chess problems consist of a board position and a task. Most ask for a line of play that mates black in a set amount of moves, or a combination that results in a winning position. Many other types exist, including, but not limited to, construction tasks for various positions and proof games that have numerous goals, selfmates, helpmates, and retrograde analysis. Tournaments and championships exist for composing of original problems and for speed-solving.
3
votes
Accepted
Calculating the precise number of combinations of possible moves from a given position
Your estimate is a bit high. In particular you overestimate the number of king moves. At most a king has 8 moves (not including castling which does not apply here), however here, both the black and th …
- 20.9k
7
votes
Can White defend and possibly win?
Avoid queen mating on g2 is easy:
f3, Qg3, Qh3+ are decent options
Re4, Kf1 also prevent immediate mate but are not good
Winning this position is objectively speaking impossible. Black is up a piec …
- 20.9k
11
votes
Accepted
Which piece combinations can mate a lone king without being aided by the attacking king?
Possible
queen and any other piece
The queen can on its own push the king to the edge of the board by following it a knight-distance away and making use of zugzwang. Once on the edge, it is easy to b …
- 20.9k
3
votes
Accepted
What is an example of a very difficult one-move checkmate?
Very difficult is relative and given enough time players of most strength should be able to find a mate in one.
I don't have a concrete example, but in my view the following features would make it mo …
- 20.9k
9
votes
Is the "Pawn Box" possible in standard chess?
This is really not difficult. Brian gave you one example, but you could imagine many more.
It is quite obvious that in order to achieve the "box" as given, white needs to capture 10 black pieces.
O …
- 20.9k
2
votes
What is the fastest vertical checkmate for both castlings?
mate in seven for queenside castling:
[FEN ""]
1. e4 d5 2. d3 dxe4 3. Nc3 Kd7 4. Bh6 Kd6 5. dxe4+ Ke5 6. Qh5+ Kd4 7. O-O-O#
Might be worth checking whether it gets any faster if black is the one to …
- 20.9k
25
votes
Accepted
What is the least number of knights needed to cover the entire board?
Covering Occupied Squares"]
[FEN "8/5N2/1NN1NN2/2N5/5N2/2NN1NN1/2N5/8 w - - 0 1"]
[Title " 14 knights, With Covering Occupied Squares"]
[FEN "8/2N1NN2/2N1N3/2N3N1/2N1N3/1NN1NNN1/8/8 w - - 0 1"]
Problems … like this are called domination problems and solutions for knights and other pieces as well as a reference are given on the wikipedia page on mathematical chess problems …
- 20.9k
12
votes
Accepted
Can you mate with each of your 16 pieces on its original square?
Obviously the last white move was 16. Nf3g1+.
I note that black needs at least 15 moves to place the pieces as they are:
4 moves to swap queen with rook as they are (various movements possible),
2 …
- 20.9k
46
votes
Why underpromote in this KNNP-KR endgame?
If you promote to a queen with 1. b8Q, black has:
1...Re2+ 2. Kd1 Rb2
attacking the queen and hinting at mate with Rb1++. If white takes the rook 3. Qxb2 it is stalemate.
Because of the mate …
- 20.9k
12
votes
What was Black's last move?
There is only one black piece left, so the last move was with the king. Black's last move was obviously Kg1-h2.
The king could not have come from h3, because there is no way the white pawn could have …
- 20.9k
11
votes
Biggest Possible Material Advantage But Still Losing
Just for reference: The maximum number that is actually achievable in a real game is of course when one side promotes all its pawns to queens and gets mated by a single pawn. The value would then be 9 …
- 20.9k
1
vote
Accepted
Where to find Tactical Exercises on the Decoy
The paid version of chesstempo allows you to search the problem database for all kinds of tactical motifs. Depending on your exact definition of "decoy tactic", you should look for what they call "att …
- 20.9k
4
votes
Accepted
How many attacks can be focused on one point?
Not sure what you mean by "realistic".
Basically you can attack it with 8 knights plus 7 other pieces attacking horizontally/vertically/diagonally, i.e. from each cardinal direction (North, NorthEast …
- 20.9k
1
vote
What kinds of unconventional chess problems exist?
Apart from non-standard problems (fairy chess, retrograde analysis, etc), there also exist particularly difficult regular chess problems which are used for testing chess engines, like Nightmare II. …
- 20.9k