Tower Construct
(Published on 17. June 2022, 21:00 by Xenonetix)
- Every digit from 1 to 9 appears once in every row, column, and region. 9 regions are to be determined. Every region is a set of 9 orthogonally connected cells.
- Each circle represents a Watchtower of height X, where X is the circled digit. Each Watchtower sees exactly X cells (including itself) in its row and column combined. The view of a Watchtower is blocked by any digit greater than X.
- All digits overseen by a Watchtower belong to the same region as the Watchtower. Any digit blocking the view of a Watchtower is found in a different region to the Watchtower.
- Cells across white dots are found in separate regions, and contain consecutive digits. All dots following both these rules are given, except if they would be found adjacent to a Watchtower.
Cracking The Cryptic (with answer check)
Penpa+ (with answer check)
Hope you enjoy playing 😄 - Any feedback and comments welcome!
Solution code: Column 7 (top to bottom) with dashes for region borders. (e.g. 123-4-56-789)
Comments
on 5. July 2022, 19:53 by PrimeWeasel
Lots of fun!
on 29. June 2022, 11:08 by MagnusJosefsson
Great puzzle, nice and smooth!
on 26. June 2022, 09:28 by AnnaTh
Wonderful!
on 21. June 2022, 12:53 by SHERAX
Wow what a puzzle takes some time to figure it out but all logic. Hopefully you make more of this.
Take a bow!
-Added to my favorites!
on 19. June 2022, 23:27 by Christounet
Very nice puzlle with a well laid start. The later part took me more time to figure out but a very fast ending after a certain circle got disambiguated. Thanks.
on 18. June 2022, 13:37 by marcmees
tricky start ... after that things run smooth. nice. thanks.
on 18. June 2022, 01:00 by LittleBallOfPurr
Personally, I did find this to be fairly difficult, about a 4 star. Lovely interactions between the Kropkis and towers. Fantastic puzzle, thanks so much, Xeno!
on 17. June 2022, 22:45 by Leonard Hal
Not difficult and interesting
