0
$\begingroup$

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.

Improve this question
$\endgroup$

3 Answers 3

Reset to default
2
$\begingroup$

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

Improve this answer
$\endgroup$
1
  • $\begingroup$ Wow, cool. 2 solutions is even better! $\endgroup$
    – user64580
    Dec 28, 2019 at 17:56
2
$\begingroup$

Since the 3x3 covers most of the 4x4, we only need to add to it with two lines. 4x4

Improve this answer
$\endgroup$
1
  • $\begingroup$ Oops. Seems like i was a little too slow. $\endgroup$
    – Bjorn Eriksson
    Dec 28, 2019 at 18:36
1
$\begingroup$

Here is my edited answer with the tiny lines removed

![enter image description here]1

Improve this answer
$\endgroup$
5
  • $\begingroup$ Sorry should have made it more clear that you’re only allowed to draw one single line. $\endgroup$
    – user64580
    Dec 28, 2019 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, 2019 at 20:23
  • $\begingroup$ That’s the problem. I don’t think that counts, sorry. $\endgroup$
    – user64580
    Dec 28, 2019 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, 2019 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, 2019 at 22:34

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.