Questions tagged [construction]
A puzzle that requires an example to be built that fits certain criteria.
125
questions
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 ...
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 ...
-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 ...
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.
...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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.
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 ...
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
...
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 ...