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You probably know the classic 3x3 grid challenge, where it’s about drawing one single line that touches all dots in the grid, with only 4 segments (3 turns) on the line.

Here’s a little drawing to understand what I mean: enter image description here

I wonder if it’s possible to do this with a 4x4 grid and only 6 segments (5 turns) on the line?

Notice that it’s allowed to go outside the box, like I did above.

You can use this website do make the drawings online, Dotty Grid Online.

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My answer:

Yes, there is a solution with 6 lines.
6 line solution
Here is another one I found which isn't as pretty.
6 line ugly solution

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  • $\begingroup$ Wow, cool. 2 solutions is even better! $\endgroup$ – user64580 Dec 28 '19 at 17:56
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Since the 3x3 covers most of the 4x4, we only need to add to it with two lines. 4x4

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  • $\begingroup$ Oops. Seems like i was a little too slow. $\endgroup$ – Bjorn Eriksson Dec 28 '19 at 18:36
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Here is my edited answer with the tiny lines removed

![enter image description here]1

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  • $\begingroup$ Sorry should have made it more clear that you’re only allowed to draw one single line. $\endgroup$ – user64580 Dec 28 '19 at 19:11
  • $\begingroup$ @Jdrupal As I explained, just take off the four tiny little lines and it is one single line. Problem was, the grid you provided didn't have two points where i needed them. I need points in between the points. $\endgroup$ – gyancey Dec 28 '19 at 20:23
  • $\begingroup$ That’s the problem. I don’t think that counts, sorry. $\endgroup$ – user64580 Dec 28 '19 at 21:04
  • $\begingroup$ @Jdrupal Sorry, my picture must have been too confusing for you. As I said you needed to imagine it without the tiny lines. I have edited the picture now so they are gone. $\endgroup$ – gyancey Dec 28 '19 at 21:29
  • $\begingroup$ Ok, I don’t think you understand what I mean. According to the 4x4 grid that dot doesn’t exist and therefore it doesn’t really count, but anyway it’s an alternative solution :) $\endgroup$ – user64580 Dec 28 '19 at 22:34

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