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Friday puzzle -- honeycomb

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Friday puzzle -- honeycomb

#1

Friday puzzle -- honeycomb

Alex Y

Below is a diagram of a small piece of honeycomb. On the top of each cell, I have written the number of adjacent cells that contain honey. Looking at the center row, and numbering the cells 1-8 from left to right, which ones have honey?

Note: If you get this one, please share HOW. I got the answer (I think--I've not had it confirmed), but my method was not particularly sophisticated or elegant, so I'd be interested if there is a better way.

Source: New Scientist magazine, 11 August 2010.

By Bob Walker, but paraphrased and I take responsibility for any unintended changes.


Re: Friday puzzle -- honeycomb

#2

Steven Antonucci

Minesweeper


Re: Friday puzzle -- honeycomb

#3

Re: Minesweeper

Alex Y

Steve's on teh same track I took. Any solutions or other approaches?

Re: Friday puzzle -- honeycomb

#4

Re: Minesweeper

Bill Earl

It's looking like a graph theory problem. But to the man who only has a hammer, the whole world looks like a nail. :\

Re: Friday puzzle -- honeycomb

#5

Re: Minesweeper

Larry Barrett

I think there is honey in cells 1 and 7. Solution not elegant. Started with top left cell; there are three possible ways to put honey in two cells adjacent to the top left cell, one of which is easily eliminated. The next path I tried led to contradiction pretty quickly; the third possibility was pretty straightforward (assuming, of course, that I did not make an error).

Re: Friday puzzle -- honeycomb

#6

Re: Minesweeper

Alex Y

I was hoping you might be able to shed some light on this from that perspective. Any luck? Larry got the same answer I did, with the same method (but a different starting point).

Re: Friday puzzle -- honeycomb

#7

 

Alex Y

That's the same method as I used, although I started at the right end of the middle row. But almost exactly the same degree of trial and error.

Here's the uncovered hive for any that are curious:


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