Logic Masters Deutschland e.V.

Twin Chaos Constructions: X-sums in Two Ways (2x8x8)

(Eingestellt am 25. April 2026, 13:00 Uhr von Playmaker6174)

The following project is inspired by my Apollo & Artemis puzzle in the past - which was also my very first "su-duo-ku" project, and also by certain twin themed puzzles by Christounet.



The idea of solving multiple grids at once has always been one of my favorite themes to explore and experiment around, it's basically like dealing with two different entities at once in a game and it also requires one to be more thoughtful about the interactions and how to approach things in a different manner, which in turn makes the whole process even more rewarding at the end of it.
My very first attempt to set a su-duo-ku (two different grids at once) with Apollo & Artemis went really well at the end and was also a very fulfilling experience personally so after that, I would have some desire to return to the idea at some point in the future.

Only a few weeks ago, when I was upset that I couldn't go anywhere nicely with my current hybrid work, I just postponed it from there and then jumped back into that multi-grid wagon. Two more potential break-ins came out rather quickly, but it was the next third one later on that actually got me hooked into setting the next project. Funny enough, the project was also finished fairly quickly too but I had to adjust a lot of tiny details to prevent the uniqueness issues, especially since a few more restarts would certainly make everything fall apart overall.



As far as I know, it can be quite easy to make mistake in the middle so a methodical approach is suggested here. Special thanks to Andrewsarchus and Mellowrobinson for testing and confirming the validity at the end!
Without further ado, do enjoy the project here!




REGULAR X-SUMS
    
OPPOSITE X-SUMS



Rules:

In this puzzle, two 8x8 grids are given side by side and are meant to be solved together at the same time.

- Chaos construction rules apply to both grids: For each grid, every row and column contain digits from 1 to 8 each once, and the grid must also be divided into exactly eight orthogonally connected regions so that every region will contain digits from 1 to 8 each once as well.

- Two caged cells contain two digits with different odd/even parity.

- For any pair of two cells with gray square in the same relative positions from both grids, one of them counts how many cells it sees horizontally (including itself) while the other counts how many cells it sees vertically (including itself), where region borders and 8x8 grid borders obstruct vision in both cases.

- Rules for the outside circle clues next to the grids:

1) The left grid: Each circle clue acts as a regular X-sum clue: Its contained value is equal to the sum of the first X cells from the same side in its respective row/column, where X is the digit next to that clue.
Additionally, those X cells must belong to the same region and the (X+1)th cell right after them must belong to a different region.

2) The right grid: Each circle clue acts as an opposite X-sum clue: Its contained value is equal to the sum of the first X cells from the opposite side in its respective row/column, where X is the digit next to that clue.
Additionally, those X cells must belong to the same region and the (X+1)th cell right after them must belong to a different region.

3) Any pair of two outside circle clues in the same relative positions from both grids must contain the same values.
For example, if the clue on top of column 1 from the left grid contains the value of 12, the clue on top of column 1 from the right grid must also contain the value of 12.   The "?0" clue means its value is a multiple of 10 (to be determined by solvers).


Puzzle:

+ Penpa plus (recommended):   Penpa link

+ Sudokupad:   Both grids  -  Left grid only  -  Right grid only



The answer check in penpa will activate once all digits in both grids are correctly filled, and also the region borders in both grids are correctly drawn (but not counting the grid borders).

Good luck and have fun solving!



[Part 1, maybe?]


Lösungscode: Enter row 3 of the left grid first, then row 3 of the right grid; for each row, enter a hyphen (-) for a region border (but not counting the 8x8 grid borders). Both rows are entered from left to right and there isn't any other character between them.

Example for a possible solution code: 123-456-781234-5678.

Zuletzt geändert am 26. April 2026, 10:15 Uhr

Gelöst von Andrewsarchus, Piatato, tuturitu, BeeBoi, marcmees, Bootenks, tallcat
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Kommentare

Gestern, 00:44 Uhr von Bootenks
That was a pretty nice puzzle! The logic wasn't too complicated, but switching between the grid on my phone definitely slowed me down a bit.

Thanks for the headnut at bedtime!

am 26. April 2026, 16:59 Uhr von marcmees
very nice double. Thanks

am 26. April 2026, 10:15 Uhr von Piatato
Awesome!

Zuletzt geändert am 26. April 2026, 10:17 Uhr

am 26. April 2026, 10:15 Uhr von Playmaker6174
fix solution code a bit (accidentally left an extra hyphen in there), apologize if anyone had trouble registering the solve

am 25. April 2026, 13:24 Uhr von Andrewsarchus
Very clever construction! Loved it!

Schwierigkeit:4
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Gelöst:7 mal
Beobachtet:0 mal
ID:000SHI

Variantenkombination Online-Solving-Tool Mehrgitterrätsel Arithmetikrätsel

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