# 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.

Message body

 Emoticons View more Emoticons
 [quote="Hand-E-Food"]"There are 100 square tiles of equal size on the bathroom floor, which are arranged in a square pattern." I misread that. I though that the pattern we were solving was one tile. My bad![/quote]
Options
HTML is OFF
BBCode is ON
Smilies are ON
 Disable BBCode in this post Disable Smilies in this post

 All times are GMT
 Jump to: Select a forum Puzzles and Games----------------Grey Labyrinth PuzzlesVisitor Submitted PuzzlesVisitor GamesMafia Games Miscellaneous----------------Off-TopicVisitor Submitted NewsScience, Art, and CulturePoll Tournaments Administration----------------Grey Labyrinth NewsFeature Requests / Site Problems
 Topic review
Author Message
MatthewV
Posted: Mon Jun 05, 2006 6:30 am    Post subject: 1

If you are supposed to make a puzzle, no you shouldn't copy it directly. However, this type of puzzle can be made fairly easily and will have a moderate difficulty.
Sir P*
Posted: Mon Jun 05, 2006 2:59 am    Post subject: 0

I need a puzzle for my class, do you think that this one is good
Hand-E-Food
Posted: Tue Oct 25, 2005 5:56 am    Post subject: -1

"There are 100 square tiles of equal size on the bathroom floor, which are arranged in a square pattern."

I misread that. I though that the pattern we were solving was one tile. My bad!
mathgrant
Posted: Wed Oct 19, 2005 4:56 am    Post subject: -2

Where do the instructions say the patten repeats?
Hand-E-Food
Posted: Wed Oct 19, 2005 4:43 am    Post subject: -3

I agree with the above answer, but I'd like to argue that the puzzle states that the tile pattern repeats. By this, the 2 and the 4 in the right-hand corners would be adjacent. On top of that, there would be a significant number of black squares (where four black tiles meet) around the edge of the puzzle.
d8P
Posted: Wed Oct 05, 2005 10:22 am    Post subject: -4

That was easy. Same answer as above.
I'm convinced the solution's unique, too.

I don't see any typo, TCM. Will this get us extra credit?
The Cheshire Man
Posted: Wed Oct 05, 2005 6:19 am    Post subject: -5

Except that he made a typo in the bottom right corner.
Thok
Posted: Sun Oct 02, 2005 6:46 pm    Post subject: -6

Triply confirms the solution, and that it seems to be unique.
Tony Gardner
Posted: Sun Oct 02, 2005 10:46 am    Post subject: -7

I get the same as Lambert. I did need the rule that for a region to be contiguous one doesn't need any diagonal steps (technically, crossing diagonally [in a 2x2 grid with black squares in lower right, upper left and white ones in lower left, upper right] wouldn't count as crossing a different-coloured square). Although this rule isn't specifically stated in the puzzle, it follows from the fact that the '4' and '6' region in the top of the grid are indicated as separated regions (if diagonal steps were allowed, this would be a single contiguous region).

Everything follows through logical steps so I do believe this is the unique solution.
Lambert
Posted: Sun Oct 02, 2005 6:12 am    Post subject: -8

I am not sure whether this is unique but it was very easy to find. I have indicated black squares as B and white squares by the number of white squares that are in their contiguous region. I have made my solution invisible so others can try to solve the puzzle without looking at this solution:

B B B B 4 4 B 1 B 4
B 7 B 4 4 B B B B 4
B 7 B B B 6 6 B 4 4
B 7 7 7 7 B 6 B B B
B B 7 B B B 6 6 6 B
4 B B B 4 B B B B B
4 B 8 B 4 4 4 B 1 B
4 B 8 B B B B B B B
4 B 8 8 8 8 8 8 B 2
B B B B B B B B B 2
MatthewV
Posted: Sun Oct 02, 2005 1:05 am    Post subject: -9