9
$\begingroup$

Twenty-four matchsticks are used to create a 3 x 3 grid. Can you remove eight matchsticks from the configuration so that you are left with two squares that do not touch each other?enter image description here

$\endgroup$
2
  • $\begingroup$ Don't just edit questions to keep them active. $\endgroup$
    – prog_SAHIL
    Jan 17, 2018 at 16:00
  • 1
    $\begingroup$ @prog_SAHIL Hi, I edited my post not to keep it active but because I wanted to get the badge for 'First Edit'. I didn't know it wouldn't work and that you have to edit someone else's post. $\endgroup$
    – user44188
    Jan 18, 2018 at 11:21

2 Answers 2

14
$\begingroup$

The squares needn't be of the same size.

So, keep all the matches forming the border, keep all the matches forming the center-most square, and remove the 8 matches that join the small center square to the large outer square.

In the below illustration, remove the 8 red matches, leaving behind a blue and green square that don't touch, as they're nested:
enter image description here

$\endgroup$
5
  • $\begingroup$ Sorry, but can you be a bit more clearer what you want to say? $\endgroup$
    – user44188
    Jan 16, 2018 at 11:54
  • $\begingroup$ Added an image to help illustrate it, @KhushrajRathod $\endgroup$
    – Phylyp
    Jan 16, 2018 at 11:56
  • 1
    $\begingroup$ Oops, I was too slow :-) Took me ages to get the formatting right. $\endgroup$ Jan 16, 2018 at 11:59
  • 1
    $\begingroup$ "Remove the 8 matches which do not contribute to the outside square or the central square" $\endgroup$ Jan 16, 2018 at 12:57
  • $\begingroup$ Yep, that's a cleaner explanation :-) @theonetruepath $\endgroup$
    – Phylyp
    Jan 16, 2018 at 13:01
3
$\begingroup$

Starting from the following $3\times3$ square:

 -- -- --
|  |  |  |
 -- -- --
|  |  |  |
 -- -- --
|  |  |  |
 -- -- --

remove 8 matches to leave the following two disjoint squares (removed matches denoted by dots):

-- -- --
| . . |
. -- .
| | | |
. -- .
| . . |
-- -- --

$\endgroup$
1
  • $\begingroup$ Correct Answer, But You were a bit late :P $\endgroup$
    – user44188
    Sep 12, 2018 at 12:43

Your Answer

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