X---V*Parity Quads
(Published on 18. April 2025, 05:47 by NurglesGift)
Normal sudoku rules apply.
Digits must increase from the bulb of the thermometers.
Orthogonally adjacent cells can not sum to 5 or 10.
Two lines of the same length and same color are connected X lines.
Counting from the bulb, the first cell of each connected X line sum to 10. the second cell of each line sum to 10 etc.
The small white circles with a number indicates how many even or odd digits is in the 4 surrounding cells.
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Feel free to recommend this puzzle to anyone.
Feel free to take special rules for your own puzzle.
Feel free to give feedback.
Bless you!
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Example
Solution code: give the digits of column 5 (top to bottom)
Comments
on 20. April 2025, 13:42 by Bionic Cheese
Great stuff , one of my favourites of your puzzles.
on 18. April 2025, 19:12 by yusuf17
Great puzzle; almost 2 hours.
Had to restart several times.
Even after finding out what the trick was, I kept forgetting about it and so I kept making mistakes.
on 18. April 2025, 18:07 by Swarley
I now feel very silly for missing something so obvious, thank you!
(if my comments are considered a spoiler for the puzzle, please feel free to remove them)
on 18. April 2025, 15:25 by AnebodaSlatorp
Brilliant, thank you! I didn’t see your first comment about the 5 and had a bad moment at the beginning before going back and reading the rules again. I think the rules are fine, I wondered at first how I was going to disambiguate the grey lines with length 2 but I loved the way the colouring works to show the way forward. I think it’s brilliant that you switched the rules around, I enjoyed falling into the trap and then climbing out of it again. I love your puzzles and look out for them every week, thank you so much.
on 18. April 2025, 13:05 by Mikemerin
I understand the rules and the trick of it makes some fun logic to figure out.
If there’s a clarification needed, similar to your other recent puzzle, maybe after the rules are given say something like:
The grey lines are two separate sets. The solver must determine which lines in each set make up the individual X pairs.
And/or in the example image an extra set there showing it.
Though personally I’m good with the rules as is - I like the idea of figuring out the nuances and having the setting itself explain the trick especially when it’s set well like you usually do. That being said I understand the other viewpoint that would lead to the hints above.
on 18. April 2025, 08:12 by NurglesGift
Im busy and can't do anything now. But if you understand the 4-cell grey line... the puzzle will show you what to do with the 3-cell grey line
on 18. April 2025, 07:13 by Donald X.
It's just, in a typical puzzle, for thermos or arrows or whatever, a grey line with a bulb in the middle would actually be two 2-cell lines. In fact if you had two 2-cell lines meeting at the bulb, it would look exactly like that. But that breaks this puzzle, so that's not what you meant. But that's what it would normally be; so, it's confusing.
on 18. April 2025, 06:19 by NurglesGift
Counting from the bulb. they work the same way. The 4cell grey line you can count as a 2cell line + a 3cell line if you wish. the 3cell grey line you have to figure out :)
on 18. April 2025, 06:11 by Donald X.
The rules don't explain the two gray lines that have a bulb in the middle.
on 13. April 2025, 10:45 by NurglesGift
Note that the rule "5 can never be on a line" is gone on this one.....
