Holographic Principle (Chaos Construction)
(Published on 18. July 2024, 04:07 by sfushidahardy)
I wanted to try setting a puzzle with the motif of "boundary data" determining internal structure, and it seems to have miraculously worked better than I had hoped! I hope you enjoy it.
- Chaos construction: the digits 1~9 occur exactly once in every row, column, and orthogonally connected region. The region-borders must be deduced.
- Arrows: the digit in a cell with arrows is the total number of cells belonging to the same region seen by the arrows in the cell. (This includes the cell itself.) Entering different regions obstructs this vision.
The following example grid demonstrates how arrows behave:
Solution code: The digits in row 7, with a forward-slash at region boundaries. For example, 123/45/6789.
Comments
on 19. September 2024, 12:38 by The Book Wyrm
Fun puzzle! Some neat logic, using a fairly common chaos construction ruleset well. Pretty impressive grid layout.
A few slightly tricky spots, but nothing too hard.
on 19. September 2024, 06:56 by Nemefish
I find chaos construction the final boss of variant sudoku. Often it can get very tedious in the middle, but this kept a nice consistent level of challenge throughout.
on 10. September 2024, 13:26 by Bankey
Fun puzzle. Thanks, @ sfushidahardy :).
on 4. August 2024, 08:47 by yttrio
Another very fun CC! I had to be pretty careful with this one, as I realized a couple of times I overlooked a possibility, but it was still quite satisfying to finally crack!
on 26. July 2024, 19:35 by LehanLehan
Very beautiful and smooth solve path,thank you very much for the puzzle.
on 20. July 2024, 23:09 by wenchang
Great and enjoyable. Spoiler alert! https://youtu.be/Y1ptRhghKkg
on 20. July 2024, 17:36 by xyphic
Wonderful puzzle! Broke it badly on my first attempt but after noticing the incorrect assumption I made, the second attempt was much smoother (but by no means easy!)
on 19. July 2024, 14:14 by thoughtbyte
Fantastic!
on 19. July 2024, 09:17 by Christounet
Awesome line of sight CC with a great design ! Thanks :)
on 19. July 2024, 02:35 by RedBarchetta
Wildly fun! How in the world do you even construct that?! Took me two hours and one unnecessary reset. I thought I broke it, started over, then got back to the same conclusions. I enjoyed the many interactions of regions, arrows, sudoku, etc. Great puzzle!
on 18. July 2024, 23:47 by Agent
Very fun and approachable CC! Great region geometry and smooth ending.
on 18. July 2024, 21:58 by cam
Love a good chaos construction. Some nice logic here! Very smooth :)
on 18. July 2024, 21:53 by sujoyku
Thank you for setting and sharing such a beautiful and mind-boggling puzzle, sfushidahardy!
on 18. July 2024, 21:42 by KNT
enjoyed it a lot, thank you!! I always like seeing chaos constructions with a sightline ruleset.
on 18. July 2024, 20:42 by kamkam
Fun puzzle
on 18. July 2024, 20:26 by Volkner
Rule clarification.
If an arrow encounters another region the sight is blocked. If it then re-enters the starting region, do those cells count in the total?
For instance: An arrow is in the 'red' region and it points directly into a cell from the 'green' region, but on the other side of that green cell there are two more cells from the red region. Is this arrow consider a 1 or a 3?
It seems like it's a 1, based on my understanding of the rules, but I'd like to make sure I'm understanding this correctly.
Thanks.
----
Hi! Yes, it's 1.
on 18. July 2024, 18:50 by Franjo
Astonishing CC! How I loved the walk on the solving path, though it was not easy to find at some steps. Thank you so much for sharing this masterpiece.
on 18. July 2024, 18:03 by madhupt
Beautiful construction! Very smooth flow, once it gives way in mid-solve.
on 18. July 2024, 15:31 by someguy209
Simple ruleset used in various interesting ways!
on 18. July 2024, 15:28 by Snookerfan
Superb puzzle! Thank you
on 18. July 2024, 14:53 by SenatorGronk
This was fantastic. Thanks!
on 18. July 2024, 11:46 by Piatato
Very smooth!
on 18. July 2024, 09:32 by rameshsrivats
Fantastic puzzle. Immensely smooth and satisfying.
on 18. July 2024, 08:15 by applesauce
awesome puzzle! loved the region construction, which had some cool surprises, and the irregular sudoku at the end was very smooth
on 18. July 2024, 07:14 by sfushidahardy
Example grid added
