Fractional Dimension (Chaos Construction)
(Published on 14. June 2022, 14:33 by Chilly)
The Rules:
- Rules:
- Each row, column and region must contain one complete set of the digits 1-9, with no repeats. Regions must be determined by the solver.
- The digit in a cell behind an arrow indicates the number of region borders in the grid in the direction of the arrow. If there is more than one arrow the number of borders is the same in each direction, not the total for all directions. The outer edge of the grid does not count as a border.
- A digit in a square indicates the number of cells in the line of sight of the digit that are in the same region as the digit, including itself - the digit cannot see through borders.
- Not all squares and arrows are necessarily given.
Fractional Dimension
by Chilly
Solution code: Row 7 followed by column 7
Comments
on 26. November 2022, 13:40 by Dot
I really love this type of your puzzles. I hope you will create more someday!
on 4. July 2022, 00:48 by Christounet
Nice combination ! I had a sense that the shape of the regions pointed me towards the right path in the later half of the solve. I unfortunately made a mess with some pencil marks which forced me to rewind a couple times after mid solve. Very enjoyable nonetheless !
-Reply- Thanks! Glad you enjoyed
on 29. June 2022, 15:53 by MagnusJosefsson
Very nice smooth and consistent puzzle!
on 26. June 2022, 17:54 by wenchang
https://youtu.be/nYZALtFqVL0
very nice and very hard, and Enjoyable!
-Reply- Thanks for a great solve and great video - glad you enjoyed.
on 20. June 2022, 07:11 by kolot
Very nice puzzle!
on 18. June 2022, 13:17 by Andrewsarchus
Great puzzle - very enjoyable!
on 17. June 2022, 18:25 by Jesper
Very fun puzzle, thanks!
-Reply- Thanks!
on 17. June 2022, 00:58 by Chilly
Updated Title
on 15. June 2022, 20:59 by marcmees
Some great new logic. Time well spent. :-)
Thanks
on 14. June 2022, 22:36 by LittleBallOfPurr
Had the pleasure of test solving this last night. A genuinely wonderful CC puzzle that puts up a good fight, whilst remaining nice and approachable.
The rules play really nicely with each other, creating some lovely logic. Can't wait to see more of these from you, Chilly, many thanks again!
-Reply- Thanks for the kind feedback - I will certainly make some more in the future.
on 14. June 2022, 21:29 by StephenR
Thanks, great puzzle. Fancy being the first person to solve it. I was slow to spot some logic towards the end as I took ages to resolve the final configuration of regions. Before that it flowed very nicely indeed.
-Reply- Thanks Stephen :)
on 14. June 2022, 17:55 by Bankey
The border rule needs clarification. Suppose r9c9 is 7, that means r9c9 sees 7 region borders to its left. Now, if r9c8 is in a separate region (than r9c9), then does the border between r9c9 and r9c8 count as one of those 7 ?
In other words, does the cell wall pierced by the arrow also count as a border if it is one?
Yes it does - because in your example that border will be on the left hand side of that digit, in the direction of the arrow.
