Chaos Construction - Border Relations
(Published on 3. May 2024, 12:35 by Niverio)
Rules:
Chaos Construction Sudoku: Divide the grid into 9 orthogonally connected 9 cell regions such that each row, column and region contains the digits 1-9 without repeats.
Kropki Dots: A kropki dot always separates two regions and has the following properties:
- A white kropki dot separates two regions which have a consecutive amount of continuous cells touching that border in that row/column. The sum of the digits in the respective regions is also consecutive.
- A black kropki dot separates two regions whose amount of continuous cells touching that border in that row/column is in a ratio of 1:2. The sum of the digits in the respective regions is also in the ratio of 1:2.
Not all dots are given. The border between R2-R3C9 is pre-given.
Puzzle Links: You can play the puzzle in either Penpa+ or in the CTC Software.
Below is an example picture on how the ruleset works in a 6x6 grid.
And below is the main puzzle:
Solution code: Row 5, put hyphens for region borders. Ex: 123-4-67-89-5
Comments
on 18. June 2024, 14:49 by Bankey
Lovely concept, great execution. Thanks, @ Niverio :).
on 13. May 2024, 17:47 by wenchang
I love it. So great puzzle. Spoiler alert! A video in Chinese https://youtu.be/3PvetACD538
on 10. May 2024, 09:41 by Piatato
Cool idea, fun puzzle!
on 6. May 2024, 15:14 by nearestneighbour
What an absolutely insane, relentless puzzle. Thanks!
on 4. May 2024, 23:11 by Styku
Very difficult irregular sudoku. Took me a while. Great puzzle. I love chaos constructions. Thank you very much for creating this. I had a blast :)
on 4. May 2024, 21:41 by madhupt
The initial flow was very obvious snd then one hits rough waters and it becomes extremely rough weather later on. I had to really plod my way though this puzzle. After solving the openings at various stages look very obvious but it is a really tough puzzle specially in middle and endgames. Thanks a lot for sharing!
on 4. May 2024, 13:51 by samuel1997
Very nice constructed! I can see the dots and the that little border line are so carefully placed to give a neat logic path! Well done!
on 3. May 2024, 23:06 by Christounet
Very original CC with an unexpected pace through the solve ! Thanks :)
on 3. May 2024, 20:18 by KNT
schon
on 3. May 2024, 20:02 by marcmees
nice idea. thanks.
on 3. May 2024, 19:40 by Qodec
Loved that!
on 3. May 2024, 19:31 by mihel111
What a comeback. Well done Niverio.
on 3. May 2024, 17:59 by Agent
That was neat! Some unexpected logic in the mid-solve.
on 3. May 2024, 16:54 by bansalsaab
Loved it. Region building started fast but then slowed down but Logic kept flowing for smooth solve.
on 3. May 2024, 16:35 by Jesper
Great puzzle!
on 3. May 2024, 15:27 by ONeill
Great idea. Smooth, original, and very fun!
on 3. May 2024, 15:26 by zzw
Amazing! Great idea for a ruleset, and the way the regions/digits all just perfectly fit together is very satisfying. Beautiful construction.
on 3. May 2024, 13:33 by Playmaker6174
Quite an easy start, but don’t get too confident there because the solve has some surprises to offer later on. It was very pleasing to see how everything came together at the end :)
