Chaos Construction
(Published on 21. April 2020, 00:27 by Phistomefel)
In every row and column, each digit from 1 to 9 occurs exactly once. In addition, there are 9 continuous regions in which each digit from 1 to 9 occurs exactly once. These regions however are only given indirectly.
An arrow in a cell indicates that an uninterrupted sequence of exactly X cells in the direction of the arrow - beginning at the cell with the arrow - belong to the same area. Here, X is the digit in the cell with the arrow. If there is another cell after the sequence of X cells in the direction of the arrow, it must belong to a different region. Not all arrows are given, which would be possible with the shape of the regions.
In the example below, the 1 in the cell with the downward pointing arrow indicates that the cell below belongs to a different region.
This puzzle is probably the most difficult one I created so far, but it has a purely logical solution path. The puzzle is now also available online via Penpa Plus. Have fun solving!
Solution code: The diagonal from top left to bottom right, then the diagonal from bottom left to top right.
Comments
on 26. September 2025, 15:21 by rich_27
I really enjoyed this, lovely puzzle! I didn't find it as hard as I thought it would be given the description and the rating!
Here's a sudokupad link:
https://sudokupad.app/k0slobral2
on 13. September 2025, 11:15 by NEWS
Das ist mein 4000. gelöstes Rätsel!
Danke schön, Phistomefel!
on 7. August 2025, 12:45 by StephenR
Great puzzle. Tortuous though finding the regions was, solving the sudoku itself was even harder for me. Also, many shading dilemmas in this puzzle.
on 20. April 2025, 23:15 by Piatato
Lovely!
on 13. September 2023, 08:52 by CrazyCrypticC
This has a smooth, beautiful path. Well done.
on 11. September 2023, 07:00 by Mr.CHEN
The link is invalid and there is no CTC link.
on 20. December 2022, 18:45 by Phistomefel
Hey peacherwu2! Yes, it is okay. You can take a look at the example puzzle. There is an arrow pointing to the right and a 2 in R3C1. R3C1 and R3C2 are both inside of the region, then there is an interruption, but R3C4 is in the same region again.
on 20. December 2022, 18:33 by peacherwu2
After the sequence of length X is interrupted by a different region, is it Okay to come back afterward in the same direction?
on 24. November 2021, 23:16 by DiMono
Remember back when this was one of the hardest puzzles you'd ever made? Good times :D
on 28. October 2021, 16:00 by dissonance
I really like your construction puzzles, always brillant.
Interesting ruleset and great execution.
Thanks for sharing.
on 21. August 2021, 18:51 by Phistomefel
Added tag "Online solving tool".
on 16. May 2021, 15:17 by Vebby
What a wonderful concept, great fun to solve! Thank you Phistomefel! :)
on 8. April 2021, 18:27 by wydadman
كم أنت خرافي يا فيسطوميفيل! ألغاز خرافية!
on 16. December 2020, 12:52 by 97johny
Great game!
on 7. November 2020, 08:54 by Phistomefel
Added link.
on 23. May 2020, 03:21 by zhergan
Brilliant puzzle. Thanks..
on 18. May 2020, 10:42 by Phistomefel
Grammatik
on 17. May 2020, 22:25 by kmr
Amazing puzzle. Thank you!
on 25. April 2020, 03:26 by vSimCO
Unknown Shape Sudoku - a bit better description
on 21. April 2020, 16:38 by Statistica
Klasse Idee und tolle Umsetzung! Hat Spaß gemacht.
on 21. April 2020, 14:11 by Phistomefel
Clarification of a rule
on 21. April 2020, 14:08 by Phistomefel
@Circleconstant314: As r45 already said, not all possible arrows are given. I will point it out in the rules. Thank you!
on 21. April 2020, 14:00 by Circleconstant314
@r45: Thank you!
on 21. April 2020, 13:53 by ch1983
Toll, vielen Dank!
on 21. April 2020, 13:32 by r45
@Circleconstant314: Not all possible arrows are given.
on 21. April 2020, 13:01 by Circleconstant314
Are all possible arrows given here? The rules don't say anything about this.
on 21. April 2020, 12:18 by cdwg2000
I really like this type of variation, which is challenging and not too difficult for the first question.
on 21. April 2020, 10:11 by r45
Irre Konstruktion, aber logisch lösbar. Hat viel Spaß gemacht.
