# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

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LordKinbote
Daedalian Member

 Posted: Thu Jan 26, 2012 12:09 am    Post subject: 1 I think this is an original variation. Rules: All Slitherlink rules apply. Additionally, for every given clue (including question marks which can be any number), the surrounding squares must each touch a different number of segments. For example, if a clue borders four squares, then one square must touch 0 segments, one must touch 1, one must touch 2, and one must touch 3. If you think you have it, figure out what numbers the question marks should hold and type them left to right, top to bottom in invisitext...I'll let you know if you're right.
Vagrant
Daedalian Member

 Posted: Thu Jan 26, 2012 1:35 am    Post subject: 2 2 2 1 1 2 3 2 3
Vagrant
Daedalian Member

 Posted: Thu Jan 26, 2012 1:36 am    Post subject: 3 I just want to add that was a great idea and a lot of fun to solve.
LordKinbote
Daedalian Member

 Posted: Thu Jan 26, 2012 1:52 am    Post subject: 4 That's correct, and thanks. I'm especially happy with the fortuitous way the puzzle ends...I didn't think I'd be able to get a question mark in the corner and have it actually matter, but it worked out pretty much by itself.
LordKinbote
Daedalian Member

 Posted: Sat Jan 28, 2012 12:04 am    Post subject: 5 Here's a new one. I've opted for a dot grid this time instead of a square grid.
Vagrant
Daedalian Member

 Posted: Sat Jan 28, 2012 1:44 am    Post subject: 6 Nice again. I really like the way the last bits of these join together uniquely when it looks like they're not going to.
Scurra
Daedalian Member

 Posted: Sat Jan 28, 2012 1:47 am    Post subject: 7 I really wish I had the sort of mind which can do these. I can do fairly simple ones, but as soon as I have to start looking ahead, it all goes horribly wrong. And I must admit that I don't entirely understand the instructions for this one at all anyway. (And no, please don't try to explain them. My brain will probably explode first.)_________________ still Quiz Olympiad champion. Must get a life. New definitions: COFFEE - someone who is coughed upon
LordKinbote
Daedalian Member

Posted: Sat Jan 28, 2012 2:10 am    Post subject: 8

 Vagrant wrote: Nice again. I really like the way the last bits of these join together uniquely when it looks like they're not going to.

I just tried making one with clue symmetry and failed horribly. Every time I succeed at making one of these, it feels like a small miracle that it worked at all.
LordKinbote
Daedalian Member

Posted: Sat Jan 28, 2012 2:35 am    Post subject: 9

 Scurra wrote: I really wish I had the sort of mind which can do these. I can do fairly simple ones, but as soon as I have to start looking ahead, it all goes horribly wrong. And I must admit that I don't entirely understand the instructions for this one at all anyway. (And no, please don't try to explain them. My brain will probably explode first.)

How about, instead of explaining the instructions, I just provide a tiny example? It's actually a non-trivial example and I'm even happier with the final part of this 5x5 than I am with the original one. Solution will follow in the next post.

LordKinbote
Daedalian Member

 Posted: Sat Jan 28, 2012 2:37 am    Post subject: 10
Vagrant
Daedalian Member

 Posted: Sat Feb 04, 2012 1:28 am    Post subject: 11 I decided to have a bash at making one of these. They're a lot harder to make than I thought they would be.
LordKinbote
Daedalian Member

 Posted: Sat Feb 04, 2012 2:27 am    Post subject: 12 First of all, there's nothing more gratifying than someone taking one's idea and taking off with it, so thank you for that. It's nice to see the idea has some legs. Second of all, nice puzzle! I admired the wide open space in the middle which would be impossible in a regular Slitherlink. I also liked the use of the 3/1 opening at the top, which is obviously not a particularly useful opening in regular Slitherlink. Also, damn you for making a rotationally symmetric puzzle before me (although some of the clues are "cheater" clues which aren't strictly necessary, like the bottom right clue). Looks like I have a goal for this weekend. The real triumph would be a rotationally symmetric puzzle in which each symmetric pair consists of one number and one question mark! I'm adding the 3/1 gambit to my arsenal. All I had time for this week was another mini...
Vagrant
Daedalian Member

 Posted: Sat Feb 04, 2012 2:45 am    Post subject: 13 I've done some testing and I believe that the puzzle I posted is still unique if the 3?? line at the top and ??3 line at the bottom are both replaced by ???. (But my head started to hurt so I couldn't be sure I hadn't made a mistake).
LordKinbote
Daedalian Member

 Posted: Sat Feb 04, 2012 4:42 am    Post subject: 14 Okay, here's my attempt at a rotationally symmetrical grid. The solution came out a bit more symmetrical than I'd like...I think the center symmetry kind of painted me into a corner.Last edited by LordKinbote on Sat Feb 04, 2012 5:34 pm; edited 1 time in total
lexprod
NOT not a title

 Posted: Sat Feb 04, 2012 7:04 am    Post subject: 15 These are really fun to solve, even if it is tough XD_________________I'll have a P please...
Vagrant
Daedalian Member

 Posted: Sat Feb 04, 2012 7:47 am    Post subject: 16 I don't think that last one quite works ... You could fix the top corner with a ? where the 1/3 is, but there doesn't look to be any symmetrical spaces to fix the other bit.
LordKinbote
Daedalian Member

 Posted: Sat Feb 04, 2012 5:33 pm    Post subject: 17 Drat! I flew too close to the sun. The other bit is fixable just by changing the "?" to a 2 or a 3. I'll fix the other image. Edit: Fixed...I changed the bottom left corner to see if I could get rid of the 0, which seemed like an odd man out. That required changing the question mark on the *left* side to a 2 or a 3 as well. I don't know if I should have made one of the question marks a 2 and one a 3, but the 3 seems like it has too much "Slitherlink logic" in that placement, and I think I'd rather have the puzzle exhibit more "different neighbors" logic than stuff people know from Slitherlink, even if it means using the same trick twice.
Vagrant
Daedalian Member

Posted: Sun Feb 05, 2012 3:07 am    Post subject: 18

 LordKinbote wrote: a rotationally symmetric puzzle in which each symmetric pair consists of one number and one question mark!

Is this what you had in mind?
LordKinbote
Daedalian Member

Posted: Sun Feb 05, 2012 4:23 am    Post subject: 19

Vagrant wrote:
 LordKinbote wrote: a rotationally symmetric puzzle in which each symmetric pair consists of one number and one question mark!

Is this what you had in mind?

Niiiiiiiice...
LordKinbote
Daedalian Member

 Posted: Sun Feb 05, 2012 11:18 pm    Post subject: 20 I tried like hell to get this one to be symmetrical, but there was just no way. The theme comes through, though. Be warned, this one is difficult. Please, God, let this one be unique. I've been tweaking it for hours.
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