Negentropy
(Published on 13. October 2023, 23:00 by ViKingPrime)
PUZZLE:
RULES:
Normal Sudoku rules apply.
• Negentropic (red): All digits along a Negentropic line belong to the same grouping, being low {1, 2 or 3}, medium {4, 5 or 6} or high digits {7, 8 or 9}.
• Thermometer: The value of digits along a thermometer must increase from the bulb to the tip.
MODIFIERS:
• Entropy: Each 2x2 box must contain a low {1, 2 or 3}, medium {4, 5 or 6} and high digit {7, 8 or 9}.
• Möbius: Each separate instance of the digit 1 may be considered as having the value of either 1 or 10 (but not both).
INTRODUCTION:
I've been buried so deeply into Schrödinger-style puzzles that I almost forgot what setting other puzzles was like; thus it's time to dust off the ol' Möbius constraint! because while I'm happy enough to go back to 9-digit Sudoku for awhile, I'm not sure I'm ready to give up on the umlauts.
Many thanks to sirxemic, whose SudokuMaker app made this a lot less time consuming to set.
Have fun!
Solve in f-puzzles!
Solve in SudokuMaker!
Solve in SudokuPad!
- "Record Highs" (Thermometer)
- "Digital Rain" (German Whisper/Thermometer)
- "Convection" (Killer/Thermometer)
- "Negentropy" (Entropy/Negentropic/Thermometer)
- "Ouroboros" (Arrow)
- "Stay On Target" (Killer)
- "...Stay On Target!" (Look-and-Say)
- "Hang Ten" (Region Sum)
- "Sword from the Stone" (Kropki)
- "Between the Devil and the Deep Blue Sea" (Between-Line)
- "Negentropy" (Entropy/Möbius/Thermometer)
- "NegenTropic Islands" (Islands)
Solution code: The digits along Row 9, left-to-right, then along Column 9, top-to-bottom.
Comments
on 17. June 2024, 04:37 by MorsBe
Works perfectly now (in SudokuPad) so rating changed and added to my favourites. Brilliant puzzle.
on 16. June 2024, 19:14 by ViKingPrime
Updated link(s).
on 18. January 2024, 07:15 by Krokant
This and the (NotSo) Tropic Islands were a ton of fun. Both great puzzles!
(Oh, and you might want to fix the link to the NegenTropic Islands, it doesnt't work.)
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@Krokant - appreciate the heads up! and thank you for the solve <3 -- VKP
on 14. October 2023, 23:41 by sdholmes
Great puzzle! It had a nice start and I really enjoyed how those middle rows ended up working. Thanks!
on 14. October 2023, 00:18 by tobymgk
I usually struggle a lot with global entropy but this one came out very nicely! Thanks for setting (:
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@tobymgk - Thank you so much for saying! you've made my whole day.
I'm with you on this one, entropy can be a mindbender. I've found it helps to recognize only certain patterns within a box can be valid; if you check over your solve, I'm sure you'll notice a few -- VKP
