Wormholes (Chaos Construction)
(Published on 28. May 2025, 18:27 by kingoffries)
Regular Sudoku rules apply.
Place the digits 1 to 9 in nine groups of orthogonally connected groups of cells, to be determined by the user.
Cells with a grey square are even; cells with a grey circle are odd.
The grid is filled with wormholes. Each square marks a wormhole entrance and each circle a wormhole exit. Cells connected by a wormhole are considered orthogonally adjacent.
Also, the number in each square and circle determines the number of connected cells on that side of the wormhole which are in the same region as the square or circle.
A region may never border itself.
Cells that border an X are in different regions and sum to 10. Cells that border a V are in different regions and sum to 5. Cells that sum to 5 or 10 that are not marked share the same region.
The cells that border the white diamond have a different parity and do not share the same region.
Sample Puzzle Unsolved:Play Online:
Solution code: Row 6 with borders separated by dashes
Comments
on 31. May 2025, 05:29 by Smauger
Wow. I've been recently challenging myself by trying more chaos construction puzzles and this one seemed to have interesting enough directions that I felt good giving it a try. Certainly needed to backtrack and correct a few errors, but 80 something minutes later, wow. Thank you for sharing this - I hope we see more wormholes in the future!
on 29. May 2025, 22:55 by Glasgow
Beautifully constructed puzzle with a lot of interesting logic. I’d happily do more like this. Very satisfying. Thanks!
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You'd happily do more? Tempting! Maybe I'll revisit the wormhole concept. I have been toying around with other disjoint region concepts recently as well.
on 29. May 2025, 21:05 by Exigus
Amazing, seemed almost impossible at the start but bit by bit it came together beautifully. Thanks!
on 29. May 2025, 20:17 by madhupt
Very enjoyable puzzle! The solve path initially is very tight and one slip here or there may be quite fatal. But the end was a little disappointing where the grid finished with alot of coloring still remaining.
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Glad you enjoyed it! I guess there's a way to deduce the remaining gaps without filling in unfortunately...
on 29. May 2025, 20:00 by tubahat
Can a region contain at most one wormhole end?
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If by end you mean a region with just a square or just a circle, no, each square and circle are paired. Hint Warning! If you mean whether a region could comprise of multiple wormholes, you can logically deduce the answer to that with just the second wormhole rule.
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that second question is what i was asking, and you are absolutely right!
on 29. May 2025, 18:00 by mihel111
Deserves a tv show. Very well done
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Well if you know a guy... ;)
on 29. May 2025, 16:55 by wuc
The example helped me to understand the rules very fast thx. Was sure this was 5* at first. But the solve was very smooth and fair. 4* fits for me. Awesome setting thx.
on 29. May 2025, 15:58 by erml
Took me a while getting my head around the rules, broke the puzzle more than once, but in the end it was worth every second. Absolute gem of a puzzle, thank you!
on 29. May 2025, 12:35 by Snookerfan
Very nice puzzle! Really smooth after the break-in, thank you!
on 29. May 2025, 09:52 by Belamis
Great puzzle with some very unique logic - Thanks
on 29. May 2025, 04:35 by tryote
Loved the logic this required. Very fun!
on 29. May 2025, 00:59 by zZSandStormZz
First time doing a sudoku like this and loved it!
on 29. May 2025, 00:35 by VicJameson
This was quite a challenge having little experience with chaos construction puzzles, but the logic flowed very beautifully. Such a good puzzle. Thanks.
on 28. May 2025, 23:41 by kingoffries
Added sample 5x5 puzzle
on 28. May 2025, 21:13 by MaizeGator
Seems like an interesting idea, but quite confusing. Is there a 6x6 example puzzle to demonstrate the ruleset?
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KingOfFries: Funny enough, a 6x6 grid breaks the ruleset. Hint Warning! Think about the rule that a square or circle with value n is part of a sub-region comprised of n cells, and the fact that each odd circle is paired with an even square.
