Twice What?
(Published on 28. November 2025, 11:40 by wuc)
From time to time I mess a cool puzzle up by not seeing a dead pattern (as remarked in the comments). Sorry for this. The current version should be unique. Have fun and leave a comment.
Rules:
Standard sudoku rules apply.
Polar Doublers: 9 cells in the grid are doublers, one per row, column, and 3x3 box, each containing a different digit. The VALUE of a doubler cell is either double the digit in that cell or minus double the digit in that cell (e.g. a digit 6 in a doubler cell can have a value of 12 or -12).
Region Sum Lines: Box borders divide each blue line into segments with the same sum of VALUES.
Digits in cages cannot repeat in a cage. VALUES must sum number shown in the upper left corner of the cage.
Digits in cells separated by a white dot are consecutive
Solution code: DIGITS in doubler cells, top to bottom.
Comments
on 2. December 2025, 16:53 by wuc
Changed wording on cages. Sorry for the troubles.
on 1. December 2025, 14:24 by VitP
correct wording of the cage rule is
"DIGITS in cages cannot repeat.
VALUES in cages sum to the small clue."
on 1. December 2025, 04:42 by Marshal on Mars
Lovely puzzle with the latest adjustment.
on 30. November 2025, 23:46 by wuc
Finally a unique solution sorry.
on 30. November 2025, 01:32 by Marshal on Mars
The new constraint still leaves a deadly pattern. While it makes 3 more of the cells resolve uniquely, the remaining 12 can resolve in two ways.
on 29. November 2025, 09:24 by wuc
Added a constraint for it to be unique. Sorry for the trouble, thx for pointing to it. Crazy how I did not see that in several test runs.
on 28. November 2025, 22:35 by TripleABattery
I'm almost at the end of the puzzle (I've been enjoying it quite a bit) but I can't see how this resolves uniquely. As far as I can tell, there are 3 solutions right now. Is there perhaps a missing clue?
on 28. November 2025, 21:29 by nunc
Yeah, 3 solutions. Maybe you could add a clue to disambiguate.
on 28. November 2025, 21:08 by Marshal on Mars
Same situation as other folks; 3 possible solutions (one branch that fully resolves; one that leads to an x-wing, both valid under the rules).
Up to that point, a quite enjoyable puzzle.
on 28. November 2025, 17:11 by TripleABattery
I'm almost at the end of the puzzle (I've been enjoying it quite a bit) but I can't see how this resolves uniquely. As far as I can tell, there are 3 solutions right now. Is there perhaps a missing clue?
on 28. November 2025, 16:31 by GeorgeTheToad2
No unique solution, I found two. Thus, not very nice from a satisfaction point of view. Nice idea.
on 28. November 2025, 16:21 by Ste1729
The puzzle is very nice, but it has 3 solutions... Luckily, the solution code is the same for all of them
on 28. November 2025, 16:19 by ShadowNevio
Got stuck on the sum line in Box 4 into box 5 for quite a while. Dead Pattern at the end. But always awesome to look at a puzzle full of cursed cages ;) i'd say 2 stars at least.
on 28. November 2025, 16:02 by Mattisahuman
Very fun puzzle, however there are multiple (3) solutions.
on 28. November 2025, 15:49 by Gribba Bibba
Neat idea, but the solution is not unique.
on 28. November 2025, 14:40 by VitP
cage rule wording is wrong
+
deadly pattern at end
on 28. November 2025, 14:35 by mihel111
I also found multiple solutions.
on 28. November 2025, 14:26 by TripleABattery
I'm almost at the end of the puzzle (I've been enjoying it quite a bit) but I can't see how this resolves uniquely. As far as I can tell, there are 3 solutions right now. Is there perhaps a missing clue?
