# Are there 'Hexanum' puzzles that require advanced methods to solve? [closed]

The puzzle below features each week in a TV guide. It's called "Number Workout" there but I've done a bit of research and it seems to be called "Hexanum" elsewhere. It bears some resemblance to Sudoku, in that it's a logic puzzle with a single solution.

Transcription: "Fit the numbers 1-6 once in every hexagon so that where the hexagons touch, the numbers are the same."

I've done lots of these and I have been able to solve them using simple techniques. In terms of the Sudoku ratings listed here, it would be "Level 1" techniques: choosing a number and seeing where it can fit in each hexagon. (Several times I have got stuck, but when I finally found a new number it was still by simple deduction.)

So my question is: Is it possible to construct one of these puzzles, with a unique solution, that requires more advanced techniques to solve? Note it doesn't need to be the same size as the one below - a smaller or larger puzzle may be required to prove it.

• Hmm... what do you mean by "advanced techniques?"
– user20
Commented May 31, 2014 at 19:51
• The image seems to have some hexagons that are marked with thicker borders. Is it just these hexagons that have to have unique numbers in them or is it any hexagon that you can make up by six triangles? Commented Jun 12, 2014 at 19:19
• @Chris it's only the hexagons specified by the thick borders. For example where you have the 1 and 3 in the middle, you can fill in the triangle opposite the thick line with the same number. Commented Jun 13, 2014 at 15:46
• Actually I've just realised given the other requirement that the touching hexagons have the same number then it was a very stupid question. :) In terms of complexity I would be inclined to think that it would be possible to have more complex puzzles but I'm not experienced enough to give an example of one or how to make them... Commented Jun 13, 2014 at 20:06
• I've put this on hold as "unclear what you're asking," as, without knowing any specific details of what you mean by "advanced techniques," I'm not sure this question can be satisfactorily answered. Would it be possible for you to edit in something more specific?
– user20
Commented Jan 5, 2015 at 7:44