Linked Questions

110
votes
6answers
24k views

100 Prisoners' Names in Boxes

Names in Boxes The names of 100 prisoners are placed in 100 wooden boxes, one name to a box, and the boxes are lined up on a table in a room. One by one, the prisoners are led into the room;...
53
votes
5answers
43k views

What is the largest tile possible in 2048?

I can get to 4096 max. There are videos on youtube of guys making it to 8192. What is the theoretical maximum limit on this? PS: if you haven't played this, here is the link to addiction.
40
votes
5answers
6k views

Burning ropes as timers

You have 2 identical ropes which burn at a specific rate, and an unlimited supply of matches. When you light one end of a rope, the fire will take exactly 1 hour to travel to the other end of the rope....
41
votes
4answers
4k views

Which switch goes to which bulb?

You are in a room with three switches, labeled $A$, $B$, and $C$. Initially, each switch is in an off state. In an adjoining room, there are three incandescent light bulbs. Your task is to ...
30
votes
4answers
12k views

How many chess pieces does it take to “cover” all spaces on a chessboard?

Given an 8x8 chessboard, your goal is to "cover" each space on the board with the fewest possible number of pieces. A space is "covered" if there is a piece on it, or if a piece on the board can be ...
27
votes
4answers
17k views

Learning to Solve a River Crossing Puzzle

I have seen many variations of the following puzzle: Once upon a time, a farmer went to the market and purchased a fox, a goose, and a bag of beans. On his way home, the farmer came to the bank of ...
30
votes
2answers
3k views

How many queens can be on a chessboard without attacking each other?

What is the maximum number of queens that can be placed on a standard 8x8 chessboard such that no one of them is capable of attacking any of the others in a single move?
16
votes
5answers
5k views

N logicians wearing hats of N colors

N logicians are wearing hats which can be of N different colors (each hat has one color; there can be multiple hats with the same color). Each logician can see the colors of all hats except his own. ...
25
votes
2answers
1k views

Are there “rules” (or consistent conventions) that limit when the NY Times Crossword can deviate from rotational symmetry?

Most American crosswords use rotational (or "radial") symmetry so that squares directly opposite each other (through the center) are identical. In the Times, I've only seen this not be the case ...
13
votes
2answers
1k views

What is the fewest number of filled-in squares required to uniquely define a magic square?

The magic square is a well-known grid of the numbers from 1 to 9 in which every row, column, and diagonal adds up to 15: 4 9 2 3 5 7 8 1 6 But it is also ...
8
votes
2answers
21k views

How can I fix “stuck” positions on the Void Rubik's Cube (using the standard beginner's method)?

Sometimes, when solving the Void Rubik's Cube using the standard beginner method, it gets "stuck." What I mean by this is that the top edge of one face and the top edge of an adjacent face's colors ...
13
votes
5answers
893 views

How do you create a general locked-box problem?

In this question, I presented a puzzle involving seven locks, with a Grand Vizier and four slaves. But I would like to use this style of puzzle in some of my own secret-unlocking riddles, in order to ...
14
votes
2answers
1k views

How many clues are required to ensure Einstein's Puzzle is solvable?

I used to play Einstein's puzzles a lot when I was younger, and very quickly learned to assess quite rapidly whether I thought a puzzle would be a quick solve or more time-consuming, but I never ...
11
votes
3answers
840 views

A Puzzling Cipher: Redux

A couple months ago, I posted this, to test a new cipher encryption idea, but it was poorly constructed and did not work. After that puzzle fail, I redesigned it to work better, making it much cleaner,...
7
votes
2answers
499 views

Strategy for speedsolving 2048

Once one has mastered winning 2048 in general, it's often an interesting exercise to try to do it as fast as possible. What strategies are there for speeding up 2048-solving? For example, how can you ...

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