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.

MatthewV · Daedalian Member :_

Lambert · Icarian Member

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

Tony Gardner · Daedalian Member

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.

Thok · Guest

Triply confirms the solution, and that it seems to be unique.

The Cheshire Man · Not a pussycat

Except that he made a typo in the bottom right corner.
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smile

d8P · Daedalian Member

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? Revenge most foul!

Hand-E-Food · Icarian Member

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.

mathgrant · A very tilted cell member

Where do the instructions say the patten repeats? Felicitous

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Hand-E-Food · Icarian Member

"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!

Sir P* · Guest

I need a puzzle for my class, do you think that this one is good Confused

MatthewV · Daedalian Member :_

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.