3D Chaos
(Published on 11. April 2022, 00:20 by mathpesto)
Thanks so much to RockyRoer, Pallando, Raumplaner, JayForty, Pete Craig, and TwoHoleStraw for testing this puzzle! Comments and ratings are greatly appreciated, and be sure to check out my other puzzles here. Hope you enjoy!
Definition:
Two cells within a layer are “orthogonally adjacent” if they share an edge. Two cells between layers are “orthogonally adjacent” if they are in the same position in two consecutively numbered layers (e.g. L1R1C1 is orthogonally adjacent to L2R1C1, but not to L3R1C1 nor L4R1C1).
Rules:
3D Sudoku: Each cell contains one of the digits 1–8. Within a layer, digits cannot repeat in a row or column. Between layers, digits cannot repeat in the same position (e.g. if L1R1C1 is a 2, then L2R1C1, L3R1C1, and L4R1C1 can’t be 2).
Thermo: Digits along a thermometer increase from the bulb to the end. A multilayer thermo has its path clarified with matching letters between the two cells where the thermo crosses layers (e.g. one thermometer has a bulb in L4R1C4, then goes to L4R2C4, L3R2C4, L3R3C4, and lastly L3R3C3).
Chaos Construction: Each cell belongs to exactly one region. A region is a collection of orthogonally connected cells containing the digits 1–8 once each. Cells part of the same thermo belong to the same region.
X: An X between two cells indicates their sum is 10. Not all X’s are given.
Puzzle:
Solution code: Enter the digits in Layer 2 (Row 1 left to right, Row 2 left to right, etc.) (16 digits, no spaces)
Comments
on 2. October 2024, 05:29 by SudokuHero
5D chess with multiverse time travel
on 12. June 2022, 04:23 by LittleBallOfPurr
This was brilliant, made me imagine VR with a 3D Sudoku app. Looking forward to trying some more! Many thanks!
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@LittleBallOfPurr Thanks so much! -mathpesto
on 3. May 2022, 18:27 by Puzzle Farmer
Great design and very fun to solve. I loved how the thermos snaked their way through the cube.
on 22. April 2022, 00:03 by Aswen
Wow, amazing idea! Thanks for the puzzle!
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Thanks so much! -mathpesto
on 19. April 2022, 03:01 by mathpesto
Added CtC link
on 16. April 2022, 05:47 by soroush
This started out pretty straightforward but earns its difficulty rating with the region logic. Very cool puzzle.
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Thanks! - mathpesto
on 15. April 2022, 15:30 by kolot
Very nice puzzle!
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Thank you! -mathpesto
on 15. April 2022, 04:59 by crispy16
This was a really fun, but mind bending puzzle. I had to solve it in two sitting, because my brain was just mush after the first attempt and I couldn't see a way forward.
The one thing that threw my off a couple of times was the 2x2 layout of the layers kept making me think there was a relationship between layers 2 and 4 because they were "adjacent" on the screen. It would have been less confusing if there were all in a row, but I understand that is probably hard to do without making them very small.
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I was thinking about different possible layouts. Unfortunately with F-Puzzles, the grid has to be a square so the only way to have all four layers in a row/column would look weird: https://f-puzzles.com/?id=y37dnujf
I'm sure there's a way to make the puzzle look much nicer on Penpa, but I don't have enough experience using it. -mathpesto
on 12. April 2022, 08:55 by Tony
To my surprise, this one is rather easy and has a smooth solution pass. Thanks
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Thanks so much, glad to hear it! -mathpesto
