⚯ Geradeweg-Loop ⚯
(Published on 25. May 2024, 07:14 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.
Geradeweg rules apply: Draw a non-intersecting loop into the grid that connects the centers of some orthogonally adjacent cells. Every cell containing a circle must be visited by the loop and each separate straight line segment that passes through the circle or ends at the circle must have a length (measured from center of first to center of last cell) equal to the digit in the circle. Additionally, the loop acts as an Entropic Line. Any group of three consecutive cells along the loop must contain one low digit (1,2,3), one middle digit (4,5,6), and one high digit (7,8,9). Note, the loop CAN touch itself.
Example:
Kropki Dots: Cells connected by a white dot contain consecutive digits.
---- 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 | ||
|---|---|---|---|---|
| Ant-Mill-Loop | Ant-Mill | German Whispers | Kropki Dots, X-clues |
|
| 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: All loop cells in column 8, followed by those in row 8
Comments
on 27. May 2024, 13:19 by Geb
I solved this one on only four hours sleep, so I don't know if I can fairly judge difficulty, but i do know this one deserves a very nice rating!
on 26. May 2024, 21:05 by yttrio
Another nice loop type I haven't heard of before! The example image was extremely helpful in figuring out the rules, and the entropic nature of the loop combined really well with the Geradeweg rules for some cool deductions!
on 26. May 2024, 06:18 by virus_dave
Once I understood the rules, this one fell into place quite easily EXCEPT for one gotcha I ran into with closing the loop, where an earlier incorrect deduction got me stuck for a bit. Quite fun and fast paced.
on 25. May 2024, 08:34 by Sinuit
Very nice! Thanks for sharing.
I was at first confused how to measure lines that are going straight through a circle. But when I noticed that they are simply measured as one line it flowed very well.
-----
hi. thanks! I added a picture to illustrate the lengths of segments.
-- ElChiglia
