SudokuSolver Forum

Twins 1

I've come up with another variant on Sukaku. For each "given cell" you have a choice of two numbers instead of just one.

I've called it twins but would welcome a better name.

There are 36 twins. In creating a puzzle you are not allowed to repeat a twin (similar to symmetry in Vanillas).

Provided you avoid naked triplets, fishes are required. This puzzle type seems to generate fishes and they are relatively easy to spot.

This first one needs a couple of fishes - one is very pretty.



+----------------------------------+----------------------------------+----------------------------------+
| 12 123456789 123456789 | 13 59 123456789 | 123456789 27 123456789 |
| 123456789 123456789 47 | 123456789 123456789 123456789 | 35 45 123456789 |
| 123456789 36 123456789 | 46 123456789 28 | 123456789 123456789 123456789 |
+----------------------------------+----------------------------------+----------------------------------+
| 24 123456789 123456789 | 23 123456789 123456789 | 123456789 14 123456789 |
| 123456789 123456789 56 | 123456789 34 123456789 | 123456789 123456789 39 |
| 123456789 16 123456789 | 123456789 25 123456789 | 15 123456789 123456789 |
+----------------------------------+----------------------------------+----------------------------------+
| 123456789 57 38 | 123456789 123456789 123456789 | 123456789 19 58 |
| 17 123456789 123456789 | 26 123456789 18 | 123456789 123456789 123456789 |
| 123456789 123456789 37 | 123456789 123456789 49 | 29 123456789 48 |
+----------------------------------+----------------------------------+----------------------------------+

edited to clarify - hopefully

Maurice,

Thanks for this new variant.

Two questions to make sure that I have understood your Twin Sudoku concept correctly:
1) The digit 1 in r1 must be in c1 or c4?
2) The digit 7 must not necessary be in c8?

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Boerge

There are no interactions between the cells, r1c14 = [13/21/23]. I confused things by mentioning Supea.

Maurice,

Thanks for the clarification.

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Your point about the chains is valid - this is one of the things I like about it.

... it is a fairly easy puzzle and only took me minutes to solve. Writing the walktrough took much longer.
Hopefully you will post your way of solving it in due course.


If you have a really DIFFICULT "Twins Sudoku" I would like to try it.
I like all sort of chains, at least in a sudoku.

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Børge

I use the term "fishes" in the broadest sense - so that includes chains.

I'll post another shortly.

Maurice

Very interesting. This explains a lot and I learned something new.


Hopefully you will post the solution with Naked Triplets and NO fishes!


I would also like to see your very pretty fish.


And what is Supea?

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Provided you avoid naked triplets, fishes are required. - I meant this generally about the puzzle type.

my solution went:
Xy-wing on 2 r14c14 r1c4<>2

single and pointers then

Sue de Coq on 3578 r7&n7 which prettily eliminates 37 in N7 and 58 in R7

then singles

Supea on sudoku.com variants under supea or number pair.

Again thanks a lot for the clarification.
I hopefully now see it clearly.
Has nothing to do with the solving of this puzzle, but the fact that unless any three bivalue cells in a Twins Sudoku form a Naked Triplet, fishes would normally be required to solve the puzzle.

Thanks a lot.
Motivated me to finally take the time to learn SdC



BTW, your first fish is not necessary to solve the puzzle, only the second one.
It makes the same crucial elimination of 7 in r8c1 as my single fish.
Thereafter the puzzles can be solved with N/H-Singles + Intersections as explained in steps 2 through 20 in my original WT.

I prefer my solution over your. I think mine is quite a bit easier.

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