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Another twin puzzle variation
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Posted on: Fri Nov 03, 2017 5:45 am

Posts: 28
Joined: Sun Jan 31, 2016 7:52 am
Another twin puzzle variation

Another variation of a twin puzzle. This is similar to a standard twin puzzle, but the solution to each puzzle is different. Each number in the puzzle on the left is swapped for another number in the puzzle on the right, in the example puzzle (yellow background) all the cells that are 1 in the left puzzle are a 4 in the right side puzzle, all the cells that are 2 on the left are 1 on the right, 3 left = 5 right, 4 left= 3 right, 5 left = 2 right.

I would be interested to know what people think of this puzzle.

Last edited by michaele on Fri Nov 03, 2017 2:33 pm, edited 1 time in total.

Posted on: Fri Nov 03, 2017 7:34 am

Posts: 518
Joined: Fri May 13, 2011 1:37 am
Re: Another twin puzzle variation
If I understand this correctly, 2 different solutions for a pair of twin puzzles which leads me to the conclusion that we have 2 separate puzzles with 2 different solutions and therefore they really aren't twins but 2 puzzles entirely on their own.....or am I missing something here??

Posted on: Fri Nov 03, 2017 8:10 am

Posts: 28
Joined: Sun Jan 31, 2016 7:52 am
Re: Another twin puzzle variation
I have not explained it very well. Although they both have different solutions, they are connected in that each number in the left puzzle is swapped for a different number in the right puzzle. If you look at the 5x5 example, every cell in the left puzzle that contains a 1 has a 4 in the corresponding cell in the right puzzle, and every cell with a 2 in the left is a 1 in the right etc. I was thinking that this would make one more thing to be considering when solving the puzzle, and make it a bit more interesting than just having both puzzles with the same solution. Trying to figure out which numbers are swapped with which will make you think about how you solve the puzzles a little different, for example in the 6x6 puzzle above it is reasonably easy if you consider the number swapping possibilities in mind while solving it.

I hope this helps, my explanation is a little vague. Let me know if more explanation would be helpful.

Posted on: Fri Nov 03, 2017 11:35 am

Posts: 2238
Joined: Thu May 12, 2011 11:58 pm
Re: Another twin puzzle variation
michaele wrote:
I hope this helps, my explanation is a little vague. Let me know if more explanation would be helpful.

Maybe draw a little diagram for the number swaps of the sample puzzle?

So

1 -> 4
2 -> 1
3 -> 5
4 -> 3
5 -> 2

?

Posted on: Fri Nov 03, 2017 11:49 am

Posts: 28
Joined: Sun Jan 31, 2016 7:52 am
Re: Another twin puzzle variation
That is a good idea, I will try adding something like that to the puzzle.

Posted on: Fri Nov 03, 2017 2:36 pm

Posts: 28
Joined: Sun Jan 31, 2016 7:52 am
Re: Another twin puzzle variation
I have updated this puzzle and the example puzzle to include a table of number swaps, hopefully this is an improvement.

Thank you pnm for the suggestion.

Posted on: Tue Nov 07, 2017 11:49 pm

Posts: 271
Joined: Wed Apr 16, 2014 9:20 pm
Re: Another twin puzzle variation
Michaele,
Can I assume that no number will be mapped / swapped onto itself?

Posted on: Wed Nov 08, 2017 12:01 am

Posts: 28
Joined: Sun Jan 31, 2016 7:52 am
Re: Another twin puzzle variation
Yes, that is right. All numbers will be changed to a different number. That might seem a minor point, but at times it will be very useful to solving the puzzles.

I will post some more of this type of puzzle later this week.

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