①③② Counting Loop ③②③
(Published on 25. October 2023, 16:43 by ElChiglia)
---- RULES ----
Normal Sudoku rules apply: Fill the grid with digits 1 to 9 appearing once each in every row, column, and 3x3 box.
Galaxies: Divide the grid into regions of orthogonally connected cells. Each region contains exactly one red circle and is rotationally symmetric around the circle. Every cell must be part of exactly one such region.
Counting Loop: After determining the galaxies, draw a 1-cell-wide loop (orthogonally connected cells) into the grid which fulfills the following requirements:
- The loop must go through all cells containing red circles. If a red circle is on an edge or corner, the loop must only pass through at least one of the adjacent cells.
- The loop cannot enter any galaxy more than once.
- The loop cannot touch itself, not even diagonally.
Killer cages: Digits in a dotted cage must sum to the small number given.
Kropki dots: Cells connected by a white dot contain consecutive digits. Digits in cells connected by a black dot are in a 1:2 ratio.
Quadruple Clues: Digits in larger white circles must appear at least once in the four surrounding cells.
---- LINKS ----
Solve this puzzle in the CtC app
Solve this puzzle on f-puzzles.com
This is the seventh Sudoku in my series of "build-your-own-loop Sudokus". If you liked solving this puzzle or if you prefer other combinations of loop logic and constraints, feel free to give the other sudokus of the series a go too:
| Loop Logic | Loop Constraint | Further Constraints | ||
|---|---|---|---|---|
| Road Running Loop |
Road Runner | Parity Line | Kropki Dots | |
| Magically Modifying Loop |
- | Incrementers, Decrementers, Nullifiers |
Magic Squares, Killer cages, Kropki Dots |
|
| Skiing Loop | Gates | German Whispers | Kropki Dot, Between Lines |
|
| Behaving Loop | 3x3 boxes | Polarity Line | Kropki Dots | |
| Magical Loop | Guiding cells | Modular Line | Magic Squares | |
| Foggy Loop | Guiding cells | Parity Line | Fog of War, Killer Cages |
|
| 10-Suȵ Loop | Moon-or-Sun | 10-Line | Killer Cages | |
| Counting Loop | Galaxies | Counting Line | Killer Cages, Kropki Dots, Quadruple Clues |
|
| Shining Loop | Moon-or-Sun | Parity Line | Killer Cages | |
| Interfering Loops | Slitherlink + Masyu |
Entropic Line + Parity Line |
Killer Cages | |
| Slithering Loop | Slitherlink | Entropic Line | Killer Cages, Little Killer |
|
| BigBang Loop | Galaxies | Parity Line | Row/Column Indexer, Kropki Dots |
|
| Summing Loop | Star Battle | Region Sum Line | Killer Cages, Skyscraper, Kropki Dots |
|
| Whispering Loop | Star Battle | German Whispers | Sandwich Sum |
Solution code: Column 8, followed by row 8
Comments
on 26. May 2024, 03:10 by virus_dave
Had to try this one a couple times; I kept missing the same important rule combination that makes it possible to solve. Once I made that connection on the last try, the rest flowed beautifully.
on 1. December 2023, 19:25 by RoyalJelly
I really enjoyed this puzzle. I'll have to check out your other loop puzzles!
on 6. November 2023, 01:37 by Geb
This one took me a very long time, but even when I was struggling it always felt fair, and then making progress felt fantastic.
Truly excellent puzzle. Very well done.
on 5. November 2023, 10:21 by Nemefish
This is the kind of puzzle where in the middle of solving I ask myself - “How was it even possible to create this?”
on 26. October 2023, 14:21 by Possum
A delight as always with your loop series
on 25. October 2023, 23:46 by Starlight
Beautiful puzzle. Really enjoyed solving this one.
on 25. October 2023, 21:42 by nunc
Very beautiful 3-in-1-puzzle. Thank you very much. I really enjoyed it.
