✖● Ant-Mill-Loop ●✖
(Published on 18. May 2024, 07:15 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.
Ant-Mill rules apply: Shade some cells in the grid such that every shaded cell is orthogonally adjacent to exactly one other shaded cell, i.e., they form dominoes. Every such domino must touch exactly 2 other dominoes diagonally while it cannot touch any other domino orthogonally. All shaded cells must form one single diagonally or orthogonally connected area.
Dots: Digits in cells connected by a black dot are in a 1:2 ratio. Furthermore, one of the cells must be shaded while the other one is unshaded.
X-clues: Digits in cells connected by an X add up to 10. Additionally, either both cells are shaded or both are unshaded.
Whispering Ants: Digits in any pair of shaded cells that touch each other (orthogonally or diagonally) must differ by at least 5.
---- LINKS ----
Solve this puzzle using SudokuPad
This Sudoku is part of 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 | ||
|---|---|---|---|---|
| Every-Second- Turn-Loop |
Every-Second-Turn | Parity Line | Kropki Dots | |
| Killer- Tetromino-Loop |
Tetrominos | German Whispers | Killer Sums | |
| Somedoku-Loop | Somedoku, Circles |
Parity Line | Kropki Dots | |
| Deconstructed- RSL-Loop |
Deconstruction | Region Sum Line | Little Killers | |
| Whispering-Sequence- Loop |
Circles | Dutch Whispers | Kropki Dot | |
| Fluisterende Loop | Star Battle | Dutch Whispers | Korpki Dots | |
| Yin-Yang-Loop | Yin Yang | Region-Sum-Line | Korpki Dots | |
| Entropic-Sequence- Loop |
Circles | Modular Line | Thermometer | |
| Find-the- Whispering-Loop |
Arrows | German Whispers | - | |
| Country-Road- Loop |
Country Road | Parity Line | Irregular Sudoku |
|
| Modular-Sequence- Loop |
Circles | Modular Line | Thermometer | |
| Summing-Zipper- Loop |
Counting Cells | Region Sum Line | Zipper Lines | |
| Mid-Loop | Mid-Loop logic |
Entropic Line | Kropki Dots | |
| Whispering-Zipper- Loop |
Counting Cells | Dutch Whispers | Zipper Lines | |
| Super Bowl Loop |
Oponents, out-of-bounce |
Polarity Line | Kropkis, XV, Nabner, Zipper |
|
| Linesweeper Loop |
Linesweeper clues |
Parity Line | Little Killers | |
| Modular-Zipper- Loop |
Counting Cells | Modular Line | Zipper Lines | |
| Balance Loop | Balance clues | Parity Line | Little Killers | |
| Entropic-Zipper- Loop |
Counting Cells | Entropic Line | Zipper Lines X-clues |
|
| Hiking-through- the-Fog Loop |
Signposts | Dutch Whisper, Polarity Line |
Kropki Dots X-clues |
|
| Renbanimo Loop | Pentominos Guiding Cells |
Renbanimos | Kropki Dots Odd cells |
|
| Deceiving Loop | Wrogn Clues | Wrogn Clues | 9 different constraints |
|
| Count-the- Whispers Loop |
Counting Cells | German Whispers | Kropki Dot | |
| Whisper-me- Sum-thing Loop |
Line-sums | German Whispers | Kropki Dots | |
| 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 29. May 2024, 21:34 by virus_dave
First time I've seen this kind. For me, finding the shading was pretty easy, but once I had that it took me surprisingly long to break into a digit. Once THAT happened it was back to easier again.
Nice puzzle.
on 20. May 2024, 06:31 by yttrio
Always cool to learn about new pencil puzzle genres through Sudoku hybrids!
on 18. May 2024, 16:25 by Virux
Super! Im a bit slow with this shape type of logic, over 50 minutes figuring out the shading. But once it was done it went by like a breeze. Thank you for the awesome setting.
on 18. May 2024, 11:16 by wuc
Im a big fan of this series. Another great puzzle. I found it easier than most of the others. Big fun very smooth thx.
-----
hey, thanks a lot!
I think this puzzle is somewhere between 2 and 3 stars, so it is definitely on the easier end of my puzzle spectrum, I agree.
-- ElChiglia
on 18. May 2024, 09:57 by sorryimLate
Very nice and smooth, thanks!
