# 246: Labyrinth Puzzle

(→Explanation: The logic of solution 3 is covered be 1 and 2. Adding more details and the title text.) |
(→Explanation: Shit, shit, ... a typo.) |
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[[Black Hat]] added a third guard here who would stab his spear to [[Cueball]] on every tricky question. But even if the questions from before are not tricky enough to get stabbed there would be no helpful answer. And if Cueball asks one of the other guards the answers can't help to find the correct door. | [[Black Hat]] added a third guard here who would stab his spear to [[Cueball]] on every tricky question. But even if the questions from before are not tricky enough to get stabbed there would be no helpful answer. And if Cueball asks one of the other guards the answers can't help to find the correct door. | ||

− | The title text presents a typical behavior of Black Hat — no door in fact does lead | + | The title text presents a typical behavior of Black Hat — no door in fact does lead out of this labyrinth. |

==Transcript== | ==Transcript== |

## Revision as of 20:57, 26 May 2014

Labyrinth Puzzle |

Title text: And the whole setup is just a trap to capture escaping logicians. None of the doors actually lead out. |

## Explanation

This comic alludes to a famous Knights and Knaves logic puzzle, and specifically to the version featured in the Jim Henson movie Labyrinth, with *two* doors and *two* guards. One guard always lies, and the other always tells the truth. One of the doors leads to freedom, and you can only ask one guard one question. The solution to this riddle involves a tricky question indeed. If you want to give the original puzzle a try for yourself, don't read the spoiler below.

- Solution 1: Ask one guard (it doesn't matter which one) which door the other guard would say leads out. The door indicated does not lead out.
- Solution 2: Ask any guard what answer he would give if you asked him the question "Which door leads out ?". The door indicated leads out.

Black Hat added a third guard here who would stab his spear to Cueball on every tricky question. But even if the questions from before are not tricky enough to get stabbed there would be no helpful answer. And if Cueball asks one of the other guards the answers can't help to find the correct door.

The title text presents a typical behavior of Black Hat — no door in fact does lead out of this labyrinth.

## Transcript

- [Three guards with spears stand in front of three doors. Black Hat and Cueball stand in front of the guards.]
- Black Hat: And over here we have the labyrinth guards. One always lies, one always tells the truth, and one stabs people who ask tricky questions.

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# Discussion

Just ask which color is the sky.. 175.110.37.200 (talk) *(please sign your comments with ~~~~)*

- Oh, although the strip doesn't explicitly say so; in those riddles you can normally only ask one question. --St.nerol (talk) 23:00, 27 January 2013 (UTC)
- There's another (more traditional) three-guard variation where one guard always tells the truth, one guard always tells a lie and the third alternates between pure truth and pure lie (and you don't know which flip they're currently flopped upon). But you
*still*only get to ask one question of one guard. Have fun with that one. My personal solution certainly has a degree of convolution, but I've heard other workable answers. 178.98.31.27 02:24, 21 June 2013 (UTC)- @175.110.37.200, you would know which one lies but you would not know which door leads out. Tharkon (talk) 23:13, 10 October 2013 (UTC)
- Eh, well, even if you had a perfect question to ask in this case, a lot of good would that do you: it'd only reveal the truth behind the setup, that
*none*of the doors lead out. :p -- 173.245.51.210 08:20, 8 November 2013 (UTC)- Well yes it says that in the title-text. But good pick-up. 108.162.219.58 02:31, 6 February 2014 (UTC)

- Eh, well, even if you had a perfect question to ask in this case, a lot of good would that do you: it'd only reveal the truth behind the setup, that

- @175.110.37.200, you would know which one lies but you would not know which door leads out. Tharkon (talk) 23:13, 10 October 2013 (UTC)

- There's another (more traditional) three-guard variation where one guard always tells the truth, one guard always tells a lie and the third alternates between pure truth and pure lie (and you don't know which flip they're currently flopped upon). But you

One question, of one guard. I really like the original form of this riddle. It's a bit of a trick, though. It is crucial that the guards "know" each other's rules, but this is not even implied. And if it was stated in the question, that would probably be a good enough clue to get you to the answer. Of course, once you know the answer it seems trivial, but I wonder what percentage of people actually worked it out for themselves? Another good one is Monty Hall, even though that is pure, straightforward probability. 108.162.219.223 18:11, 17 January 2014 (UTC)

- I think somebody needs a hug! 108.162.219.223 18:11, 17 January 2014 (UTC)

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