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Questions tagged [construction]

A puzzle that requires an example to be built that fits certain criteria.

3 votes
3 answers
377 views

Chess Construction Challenge #9: Two Eggs & A Flood

I have an odd idea for this challenge. It involves a very specific proof game construction. So pay attention! Given that: White and Black cannot move more than one pawn each throughout the entire ...
Rewan Demontay's user avatar
3 votes
2 answers
192 views

Chess Construction Challenge #D: 8 moves

Since I "burnt" the complete question elsewhere, let's start with "D" (I counted up in hex) and 8 moves. The position in the answer there can be improved by far! OK, to ...
Hauke Reddmann's user avatar
3 votes
1 answer
170 views

Chess Construction Challenge #8: Three Times The Charm

On a chessboard, a piece has a set number of legal moves. It can range from 0 to 27. However, this amount can also restricted. My previous questions have covered n=1 and n=2, it is time for n=3! Given ...
Rewan Demontay's user avatar
6 votes
1 answer
608 views

Flat share share

This is a sequel to Gentrification in Chessshire. Due to the febrile state of the Chesster housing market you and your flat mates are forced to rent out half your place to another group of sharers. ...
loopy walt's user avatar
  • 21.3k
7 votes
3 answers
553 views

Chess Construction Challenge #7: Double The Fun

Many thanks goes to @Retudin in a comment on my last question for this idea. In a chess position, pieces can be restricted as to how many moves they can legally make in theory. Since my previous ...
Rewan Demontay's user avatar
9 votes
5 answers
1k views

Chess Construction Challenge #6: The One Move Royale

In chess, it is possible for a piece to have only one legal move. For example, in this position, the Black king can move only to h2. Given that: All 32 pieces are available for use. Construct: A ...
Rewan Demontay's user avatar
10 votes
2 answers
393 views

Gentrification in Chessshire

You can skip the back story and directly jump to the question. Capitalism has arrived in suburban Chesster the community most famed for The Game, and with a vengeance. Rents have trebled in less than ...
loopy walt's user avatar
  • 21.3k
1 vote
1 answer
123 views

Self-indulgent numbers

Let's call a positive integer N self-indulgent of degree K>2 if for every positive integer k<K the following is true: More than half of the first k multiples N,2N,...,kN of N contain with ...
loopy walt's user avatar
  • 21.3k
4 votes
1 answer
238 views

Infinite beauty

This is a follow-up to Puzzle about 6 infinite cylinders in space Question: Given six identical infinite (no caps) cylinders is there a beautiful arrangement in space such that each touches each ...
loopy walt's user avatar
  • 21.3k
11 votes
2 answers
874 views

Never kill your king ... without first seeking proper legal advice!

This is a follow-up to (Almost) all hands on check by @loopy walt. The task (mate in one with as many essential pieces as possible) stays the same, but you are to go about it more cunningly. Recap of ...
Albert.Lang's user avatar
  • 6,205
10 votes
3 answers
1k views

(Almost) all hands on check

Historical note (skip if you like): In this interesting puzzle @TSLF asks for the "maximum number of black and white pieces that are involved in a checkmate position". Originally, they left ...
loopy walt's user avatar
  • 21.3k
1 vote
2 answers
265 views

Four pacifist queens

Earlier, I introduced the beautiful game of Swiss chess. These are animated gifs. You may have to click on them to make them move. Unlike the peace-loving Swiss, we are interested in "domination&...
Albert.Lang's user avatar
  • 6,205
5 votes
1 answer
367 views

Four queens on public transport

The enlightened but, sadly, fictional country of Switzerland has it all: A strong democracy that resists centralism, a reliable public transport network and its own version of chess. Swiss chess ...
Albert.Lang's user avatar
  • 6,205
3 votes
1 answer
203 views

Universal bisectors

A bisector is something that cuts some other thing into two equal pieces. More concretely, assume we are given a reasonably well-behaved (for example, compact) 3D object and we are looking for planes ...
Albert.Lang's user avatar
  • 6,205
5 votes
1 answer
310 views

Anti-Chess Squares

Playing regular rules for both white and black try to eliminate all the square formations by black and/or white. From the above starting setup all rooks form a square. Also white's queen rook pawn, ...
TSLF's user avatar
  • 6,656

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