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Questions tagged [construction]

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

6 votes
2 answers
435 views

How many function blocks do you need to make a controller?

You have 8 binary input signals to a controller, each one for each of the digits 1 - 8. The output is four binary signals, that make up the same number as the input. If the first input signal is ...
CG.'s user avatar
  • 2,590
9 votes
1 answer
193 views

Constructing Tortuous Tours

We'll define a tour of some N x M grid as any sequence of tiles such that the first tile is the bottom left corner, any two consecutive tiles are adjacent, and every tile appears in the sequence ...
Ben Frankel's user avatar
  • 3,648
-1 votes
2 answers
268 views

Robbers - The ultimate compass challenge [closed]

Please read the Cops post for all details. Points are scored on the basis of how long a challenge remains unsolved before you solve. You may solve any number of challenges. You cannot solve your own ...
ghosts_in_the_code's user avatar
0 votes
2 answers
387 views

Cops - The ultimate compass challenge [closed]

Based on The square and the compass This is a new kind of challenge proposed on Meta Puzzling SE. Any discussion about the general type of puzzle (rather than this particular one) can be done there. ...
ghosts_in_the_code's user avatar
3 votes
2 answers
298 views

The square and the compass II - Midpoints

Based on The square and the compass The rules are almost the same. (The only difference is the actual task, marked in bold.) You have a compass and a pencil but no scale/straightedge. Your job is ...
ghosts_in_the_code's user avatar
7 votes
1 answer
574 views

The square and the compass

(I don't mean $x^2$ or $N\cdot S\cdot E\cdot W$) You have a compass and a pencil but no scale/straightedge. Your job is to mark four points on a plane paper that would form a square if joined. Your ...
ghosts_in_the_code's user avatar
2 votes
1 answer
283 views

Compass-and-straightedge construction of two segments, given their arithmetic and geometric means

Given two segments, construct, using compass and straightedge, two other segments such that the lengths of given segments represent arithmetic and geometric means of the lengths of constructed ...
user3900460's user avatar
20 votes
3 answers
1k views

The 5040 Square

Fill a $4\times4$ grid with positive integers so that: Every cell has a different integer The product of the numbers in each row is $5040$, and similarly for the columns Source: This was an NPR ...
Mike Earnest's user avatar
  • 32.5k
5 votes
2 answers
656 views

Planning an Archipelago

We can place S and Z tetromino shaped islands on an 8x8 grid of water in such a way that no two islands are touching by their edges, because then they would not be two islands. Two islands may touch ...
Ben Frankel's user avatar
  • 3,648
21 votes
9 answers
3k views

Occupy a field with tetrominos

You have a square 8x8 board, and tetrominoes of all possible shapes. Each individual square on a tetromino is the same size as one square on the board (i.e. any given tetromino will cover exactly 4 ...
kamenf's user avatar
  • 6,506
35 votes
12 answers
4k views

Mr. Hilbert and the Problem of the Erroneous Equation

Having had just checked into the Grand Hotel, Mr. Hilbert slumped into the hotel room armchair with relief. Finally he could have some peace and quiet and solve the quaint riddle his colleague gave ...
Hackiisan's user avatar
  • 1,826
5 votes
3 answers
405 views

Square inscribed in a circle (with a ruler only)

Inscribe a square in a given circle by following the rules of construction with ruler and compass but... without using the compass. The center point of the circle is given too.
kamenf's user avatar
  • 6,506
4 votes
2 answers
515 views

Create a Homophone Word Search

This recent puzzle I created was well-received, so here's another one like it, except this time a bit larger and using homophones. Create a word search with the following conditions: Use the fifteen ...
JLee's user avatar
  • 19.4k
26 votes
1 answer
2k views

Create a Word Search

Create a word search with the following conditions: Use the eleven words below. They can be spelled up, down, left, right, or any of the 4 diagonal directions. ZERO ONE TWO THREE FOUR ...
JLee's user avatar
  • 19.4k
1 vote
1 answer
275 views

Find the optimal dot configuration

Rules: You have 9 dots, labeled A through I. You choose a layout (arrangement) for the 9 dots. You must connect the 9 dots with straight lines (no curves or extra lines). The object is to ...
JLee's user avatar
  • 19.4k

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