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Questions tagged [construction]

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

11 votes
3 answers
583 views

Fabi and Mag played chess again

Fabi and Mag love chess, and I love to watch them playing together. I am not such a strong player myself, but I am an excellent spectator! The three of us were having a nice evening around a chess ...
Evargalo's user avatar
  • 6,300
31 votes
4 answers
3k views

How did four chessmen disappear?

I was visiting two friends yesterday and found them sitting at a chess table. After a glance at the board, I thought I had interrupted them when they were installing the starting position and I said: ...
Evargalo's user avatar
  • 6,300
7 votes
2 answers
267 views

Retrograde Go Problem (Some Assembly Required)

An entry into the Fortnightly Topic Challenge #40. In case you aren't familiar with the rules of go, the information in the basic rules section of the Wikipedia page should be enough to solve this ...
Bass's user avatar
  • 77.9k
-1 votes
2 answers
205 views

Chess amazement

Can you make a position where neither team can move anywhere? You can place the pieces anywhere, since it doesn't have to be in an actual game. This would be really easy, but I am so sorry to say ...
Alto's user avatar
  • 1,921
-2 votes
2 answers
123 views

How many are they, how much do you owe them? [closed]

Let's suppose you want to build a house. To do this, you're going to need people to help build the house. Specifically, you're going to need contractors, engineers, and construction workers. After ...
ben asfan's user avatar
5 votes
1 answer
169 views

All the King's Horses and All the King's Men

What is the largest N by N square chessboard where it's possible to construct a position such that 2 knights and N pawns either occupy or threaten every square?
Bass's user avatar
  • 77.9k
12 votes
3 answers
773 views

A Floating Row - Tetris Puzzle

It is possible to produce the following arrangement in a standard game of Tetris (if you happen to get the right order of pieces and you place them appropriately). Notice that all of the pieces are ...
Riley's user avatar
  • 14.5k
7 votes
2 answers
459 views

Identical-Looking Keys on a Ring

The number of keys on your key ring has been growing steadily over time, and now you already have 15 keys to keep track of! Unfortunately, you are unable to distinguish one key from another (apart ...
Riley's user avatar
  • 14.5k
7 votes
2 answers
488 views

A construction on an infinite 2d grid, part 1

Recall the classic old problem where we're asked whether a line segment of specific length can be constructed with compass and straightedge, given an initial line segment of length 1? We're going to ...
Voile's user avatar
  • 181
0 votes
1 answer
179 views

Combining parts to make an square

In the following picture, if one puts some of the shapes A, B, C, D, and E together, they can make a square. Then which shapes would be redundant? Only A Only D Only E A and D Can you construct the ...
Ahmad's user avatar
  • 638
1 vote
1 answer
545 views

Stepladder Puzzle 2: Edge surfing

Continuing the Stepladder Game puzzle series, here's Stepladder Puzzle 2: Edge Surfing If you haven't played the Stepladder Game* before, you should first take a look at the rules, which can be ...
Bass's user avatar
  • 77.9k
4 votes
2 answers
226 views

Stepladder Puzzle 2: Edge Surfing (small target version)

Continuing the Stepladder Game puzzle series, here's Stepladder Puzzle 2: Edge Surfing (small target version) If you haven't played the Stepladder Game* before, you should first take a look at the ...
Bass's user avatar
  • 77.9k
13 votes
2 answers
634 views

Stepladder Game, Introduction and Puzzle 1: Turning

I want to introduce a new game to PSE: the Stepladder Game!* * You may already know this game by another name. The rules for the Stepladder Game: The game is played on a grid. Our grid is ...
Bass's user avatar
  • 77.9k
14 votes
2 answers
535 views

Create a 1 meter measure

How many folding steps do you need to create a $1 \, \text{m}$ measure from an ideal DIN A0 sheet? This sounds easy, but consider that this paper has edge lengths of $\sqrt[4]{2} \, \text{m}$ and $\...
A. P.'s user avatar
  • 5,948
6 votes
4 answers
486 views

Constructing 0.35 Unit Length

The Problem The medieval equivalent of Bob the Builder has a new job offer: He is to build a box with the measures of $0.35$ units by $0.35$ units by $0.35$ units for a king. There is a little ...
Narusan's user avatar
  • 471

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