11
$\begingroup$

A few years ago I created a small packing puzzle that I'd like to share here today. The puzzle is based on the fact that $1+2+3+4+5+6+7+8 = 6^2$. It consists of 8 zig-zag polyomino pieces, ranging in size from 1 to 8 squares. The pieces are shown here:

enter image description here

The basic aim is to create a 6 by 6 square.

enter image description here

There are two very closely related solutions.

Improve this question
$\endgroup$
2
  • 5
    $\begingroup$ It is quite fun to solve this by hand, so I recommend cutting out the pieces out of cardboard. When the puzzle has been solved I will link to a page with further shapes you can make instead of just the square. $\endgroup$
    – Jaap Scherphuis
    Jun 23, 2018 at 20:32
  • 2
    $\begingroup$ As promised, here is a link to some further problems you can solve with these pieces: Ziggy page $\endgroup$
    – Jaap Scherphuis
    Jun 23, 2018 at 21:13

2 Answers 2

Reset to default
9
$\begingroup$

Here's one solution.

enter image description here

The second solution can be achieved by:

Swapping the 4 and 6.

.

enter image description here

Improve this answer
$\endgroup$
2
  • 1
    $\begingroup$ You write the second solution, which seems to imply that there are only two of them? $\endgroup$
    – Federico Poloni
    Jun 24, 2018 at 9:52
  • 1
    $\begingroup$ @FedericoPoloni they're referring to the two similar solutions the OP is talking about. $\endgroup$
    – Marco Bonelli
    Jun 24, 2018 at 11:20
7
$\begingroup$

Here is one solution

gosh I'm bad at making little papers

Thanks for the fun!

Bonus shapes:

bonus1


bonus2

Improve this answer
$\endgroup$
2
  • $\begingroup$ You got the same as my first solution. (And even the same rotation/reflection, coincidentally) Good job on actually cutting out pieces. $\endgroup$
    – Riley
    Jun 23, 2018 at 20:59
  • $\begingroup$ @Riley I just follow Jaap Scherphuis advice, and it was indeed quite fun. $\endgroup$
    – Kepotx
    Jun 23, 2018 at 21:05

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.

Not the answer you're looking for? Browse other questions tagged or ask your own question.