# Diagonal Number Link!

Diagonal Number Link 5×5 puzzle

Diagonal Number Link 4×4 puzzle

If you thought toroidal number link was tricky, then how about diagonal number link?! In this variant the rules are exactly the same but now you can use *diagonal lines* as well as horizontal and vertical lines! The diagonal lines can only travel between diagonally-adjacent (diagonally touching) squares, and **diagonal lines are allowed to cross.** This is because the Number link rule is that “each square can only have a single line in it” – in the case of diagonal numberlink this does actually allow the lines to cross at the corner of certain squares. So just draw one line per pair of identical numbers, linking them together. In the unique solution all squares are used.

The first 4×4 puzzle is very easy but despite being very easy it’s still a bit confusing to actually solve, so I’d suggest trying it first.

The 5×5 puzzle isn’t exactly difficult either, but it might at least give you a minute or so of amusement! I found it quite interesting to solve at least.

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Christineabout 15 years ago

Would it be possible to post the solution to the so called easy one?! Maybe I am missing the point here, but I am getting muddled up with my straight and diagonal lines, That is to say when I am doing a straight line it goes through the middle of a cell, and when doing a diagonal one from corner to corner. So the confusion arises when I start off with a straight line (e.g. from the 2 in the bottom left hand corner and then need to move diagonally, Does the diagonal line start from the middle of the cell. I don’t know whether I’m being particularly thick on this one, but a visual solution would help to see where lines cross. Thanks! I do appreciate the new types of puzzles to try!

about 15 years ago

All lines move from one cell to a touching one, including diagonally touching cells, with only one line per cell. That’s the only constraint.

In other words, you can draw the lines wherever you like

withinthe cells, so long as only one line is in any single cell. (So to be specific, they don’t have to go corner to corner; if you were drawing a solution it would probably go from the centre of one cell to the centre of another, just for neatness).Here’s the solution to the first puzzle:

1334

3143

1423

2232

If you draw between all the cell mid-points with the same numbers you’ll get neat lines.

Hope this helps!