8
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The goal is to get same side pairs of the 6 tiles,

enter image description here,

to fit into a $2\times 3$ grid, so that all touching sides match like so (excluding the red part), for example:

enter image description here

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  • $\begingroup$ Are we allowed to rotate the tiles? Also, is 2x3 two wide or three wide? $\endgroup$ – boboquack Aug 29 '17 at 8:32
  • $\begingroup$ You can rotate, and if you can rotate, whether it's $2\times 3$ or $3\times 2$ doesn't matter. $\endgroup$ – user39732 Aug 29 '17 at 9:17
  • $\begingroup$ did you make the example up? $\endgroup$ – JMP Aug 29 '17 at 9:38
  • $\begingroup$ is the answer unique? can you flip tiles? $\endgroup$ – JMP Aug 29 '17 at 10:36
  • $\begingroup$ This is also known as tetravex. $\endgroup$ – EKons Aug 29 '17 at 16:12
9
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3 solutions i found, no idea if there are others

enter image description here
enter image description here
enter image description here

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  • 1
    $\begingroup$ Dang, but I gotta say: If the solution is not unique, what's the point? I feel like the puzzle suddenly has much less value since little effort is actually needed to construct such puzzles... $\endgroup$ – greenturtle3141 Aug 29 '17 at 21:25
4
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I found this by hand. I don't know if this solution is unique.

     4   2
   1 X 5 X 5
     2   6
   6 X 3 X 1
     5   2
   1 X 1 X 3
     4   4

I'll draw a picture of it later.

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  • 1
    $\begingroup$ why do i even try $\endgroup$ – Jan Ivan Aug 29 '17 at 11:08
  • $\begingroup$ @JanIvan Sorry I just beat you to it. It is interesting that you found the same solution as I did. Maybe it really is unique. $\endgroup$ – Jaap Scherphuis Aug 29 '17 at 11:10
  • $\begingroup$ Yea found second, and it is very similar honestly $\endgroup$ – Jan Ivan Aug 29 '17 at 11:19
3
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There are exactly

8 solutions, or if we don't count rotations, the answer is 4 solutions, or if we count $3\times 2$ table, 16 solutions.

solutions!

How did I find them?

Programming :P

Where are the solutions?

And?

And??

Source code: https://gist.github.com/DesWurstes/a62fd071c918279e6d1f0c86f37bd6aa

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  • $\begingroup$ Rather than saying "I solved it, I'll edit my post soon with the answer", please just post the answer first time around $\endgroup$ – Joe Aug 29 '17 at 14:11
  • $\begingroup$ Only 4 if you don't count rotations. $\endgroup$ – Kruga Aug 29 '17 at 14:47
  • $\begingroup$ Yes but we're allowed to rotate. $\endgroup$ – MCCCS Aug 29 '17 at 14:48
  • $\begingroup$ In that case there are 16, since you can also rotate 90 degrees. $\endgroup$ – Kruga Aug 29 '17 at 14:50
  • $\begingroup$ Yep. It is. My fault. $\endgroup$ – MCCCS Aug 29 '17 at 14:53

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