Three-Line Riddle
(Published on 28. November 2022, 23:35 by JeremyDover)
From me and Raumplaner, some more entropic lines (and friends!) from the Layers of Entropy puzzle pack!
Rules
Normal sudoku rules apply.
Entropic lines: Any set of three sequential cells along an entropic line must contain a low (1,2,3), middle (4,5,6), and high (7,8,9) digit. Digits may repeat on a line if allowed by other rules.
Kropki pairs: Digits in cells connected by a black circle have a 2:1 ratio. Digits in cells connected by a white circle are consecutive. Not all possible circles need be given, so there is no negative constraint.
There are three entropic lines in this puzzle whose position you need to determine. These three entropic lines connect the caged cells labeled A, B and C respectively. These lines must consist of vertical and horizontal line segments, may not cross other lines, and may not cross cell boundaries marked with black rectangles.
Continuing the entropic lines series with Raumplaner, this is puzzle #25.
previous puzzle (#24)
Solution code: Row 9 followed by column 9 (18 digits, left to right, top to bottom, no spaces/commas):
Comments
on 14. February 2023, 17:29 by peacherwu2
Can a line touch itself?
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JeremyDover: Yes, a line may touch itself, but it may not cross itself or other line.
on 13. January 2023, 19:45 by Mikemerin
The logic in this puzzle is incredible and was so much fun to solve. Definitely one of my favorites! The cell boundaries were a very nice touch to help direct where the entropic lines may be.
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JeremyDover: Thanks for your kind words. Very glad you enjoyed the puzzle!
on 10. December 2022, 07:31 by cdwg2000
Very nice!
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JeremyDover: Thanks so much!
on 10. December 2022, 04:36 by h5663454
Great puzzle, but...
As far as I personally feel, the difficulty of this puzzle fully deserves 5 stars.
This is not the first time I've spent about an hour and a half solving a puzzle of similar difficulty, but its difficult point still kept me stuck for almost an hour.
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JeremyDover: I'm so terribly sorry! It can be difficult to judge difficulty sometimes, and I feel like the 4/5 line is particularly thorny. But I'm glad you did enjoy it in the end!
on 30. November 2022, 12:40 by erml
WOW, beautiful!
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JeremyDover: Thank you so much for your kind words!
on 29. November 2022, 01:59 by OutOfMyMindBRB
What a remarkable and beautiful puzzle!
Loved all the twists and turns & interconnected flow of logic.
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JeremyDover: So glad you enjoyed!
