# Connect dots on a grid with one continuous line

Rules:

1. Line must be straight.
2. Line must be continuous.
3. Line must not intersect itself.
4. Line is allowed to take 45 degree turns to itself, for example:

The dots:

• Does it matter how wide the line is? Sep 1, 2023 at 11:52
• @Stomf - the line's width is intended to be not bigger than the width of a dot and not so narrow that it is not visible. But since rules do not prohibit the grid-wide line anything goes :D Not going to change the rules after the puzzle has been solved. Sep 1, 2023 at 15:57

It is not written that the lines can or cannot leave the square...

• That is one of the correct solutions, yes. Aug 30, 2023 at 12:56

Now that the devil is out of the box, let's see what is the minimum of lines that can cover all dots.

The minimum I can do is

13 lines.

And here is how it can be done.

But before looking at the solution, have a try!

• Very interesting, may I ask what did you use to find the minimum of lines? Sep 1, 2023 at 18:24
• Pencil and paper. ... and eraser. Sep 1, 2023 at 18:33