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A puzzle related to chess, a two-player board game with white and black pieces of varying ranks.

5 votes
3 answers
2k views

One-sided chess: Self stalemate revisted

For reference: One-sided chess: Can you stalemate yourself? Goal: Set up all the white pieces so that no piece has a legal move, as close as possible to a reachable position. … Since captures and promotions are part of a regular game of chess, there is a minimal penalty for each: 1 point per promotion or capture. …
Joel Rondeau's user avatar
  • 7,855
22 votes
Accepted

The separation of chess pieces

One could make the argument that the 4 pawns on the top row should be promoted, but other than that, 16 white pieces with none attacking each other, with proper bishop placement.
Joel Rondeau's user avatar
  • 7,855
15 votes
Accepted

How Many Pieces from Both Sides can you Place on a Chess Board Without Attacking a Side?

From the bottom up: Three rows of 8 black queens One row of black pawns One row of white pawns Three rows of white queens 224. Because the black pawns attack down and the white pawns attack up, the …
Joel Rondeau's user avatar
  • 7,855
8 votes

How Many Pieces from Both Sides can you Place on a Chess Board Without Attacking a Side?

Although I like my first answer, I did also wonder how good I could manage with black and white in their normal positions. The best I've gotten so far uses 16 queens, 4 rooks, 4 bishops and 4 pawns. …
Joel Rondeau's user avatar
  • 7,855
6 votes
Accepted

Equal Chess Control With One Color

I can manage 34. I haven't gotten better than that. 4 rooks, 14 pawns. 34.
Joel Rondeau's user avatar
  • 7,855
6 votes
Accepted

Fewest Chess Pieces

The lone pawn in the previously accepted answer bugged me, so I tried replacing it with a knight and moving some pieces around. I now have: Here's the board
Joel Rondeau's user avatar
  • 7,855
1 vote

Checkmate in Last Move

So given the other answers and the comments on them, I have a solution with: The board: The move:
Joel Rondeau's user avatar
  • 7,855
10 votes
Accepted

How many Queens on a board

Update: I was looking through old puzzles and saw this one and was always annoyed I couldn't get a 14th queen. So I found a way. 14 queens: Original Answer: I've managed 13 queens. I started in one c …
Joel Rondeau's user avatar
  • 7,855
15 votes

Queens attacking exactly one queen

Following @Konstantin Pfennig's answer, using black and white queens, and squeezing in more, I have:
Joel Rondeau's user avatar
  • 7,855
7 votes
Accepted

What pieces does White need to beat Black's veto?

Having tried various options to get below 9 points, I've been very successful in forcing a checkmate with The end goal is to get black into a position where: Initially, I expect that black will veto …
Joel Rondeau's user avatar
  • 7,855
2 votes

Musings at a chess tournament

I used a different approach than Callidus, but ended up at exactly the same target, and made exactly the same mistake. To get the highest possible number of nonsensical games, the ideal situation wou …
Joel Rondeau's user avatar
  • 7,855
11 votes
Accepted

The Erasmus rook tour

Update: This problem can be simplified in the following way: For an $n x n$ board where $n$ is even, make $\frac{n}{4}$ squares that are $2 x 2$. This has $\frac{n^2}{2}$ horizontal and $\frac{n^2} …
Joel Rondeau's user avatar
  • 7,855
5 votes
Accepted

How old is Grandfather?

I started with a different tactic than the first answer and made it to the same result, but between studying his and tweaking mine, I have now managed The game: General comments on strategy and whet …
Joel Rondeau's user avatar
  • 7,855
5 votes
1 answer
156 views

How many queens are needed to attack all white squares?

This question: How can 3 queens control the white squares? got me thinking... What is the fewest number of queens needed to attack every white square? Rules: Only queens allowed Every white square is …
Joel Rondeau's user avatar
  • 7,855
9 votes
Accepted

Equal Chess Control

I found it very hard to only control each square once. Any attempt at limiting the physical number of pieces was turning into an issue. I suspect this can be beaten, but I can manage the whole board i …
Joel Rondeau's user avatar
  • 7,855

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