▜▖Renbanimo Loop▗▛
(Published on 30. December 2023, 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.
Renbanimo Loop: Draw a single 1-cell-wide loop of orthogonally connected cells into the grid. Different loop segments cannot touch, not even diagonally. Divide the loop into contiguous groups of 5 cells, i.e., pentominos, such that every cell along the loop belongs to exactly one pentomino. No two such pentominos on the loop are allowed to be of identical shape. Two pentominos are considered identical if they can be mapped into each other by pure rotation (for example L and ꓶ), while two pentominos are considered different if additionally a reflection would be needed (for example S and Ƨ) or if they cannot be mapped into each other at all (for example L and S). Each pentomino must contain consecutive values, in any order, i.e., they form valid renban lines.
Gray circles: Gray circles must contain odd digits. Additionally, the digit counts how many of the surrounding cells are visited by the loop, while the circle itself is not allowed to be on the loop.
Red dots: Cells connected by a red dot belong to two different pentominos on the loop. Furthermore, the total sum of the digits in the two pentominos connected by it must be in a 1:2 ratio.
Black dots: Digits in cells connected by a black dot are in a 1:2 ratio. Black dots fulfill no further role for the loop building and thus can be fully, half, or not at all on the loop.
---- LINKS ----
Solve this puzzle in the CtC app
Solve this puzzle on f-puzzles.com
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 | ||
|---|---|---|---|---|
| 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 22. May 2024, 01:41 by virus_dave
Wow. Just wow. This might be my newest favorite puzzle. Just beautiful construction and deductions needed to solve.
I got stuck a few times trying to wrap my head around the "shape" of the deductions needed (no pun intended) but once I grokked that, the rest flowed beautifully, despite me having to start over once or twice due to my own logical errors.
Certainly my favorite of the author's puzzles so far. Well done!
on 1. January 2024, 05:30 by LilGungaJr
Had fun testing this sudoku while it was in the CTC discord. Love the concept that each pentomino becomes a renban! Great puzzle overall, has some tricky sections. Also had a good time chatting with ElChiglia about some concepts around pentomino loops / snakes as I had previously released a sudoku with some similar concepts! If you enjoyed this puzzle, you may enjoy Pentominophibian under my account :)
on 30. December 2023, 20:59 by cristophermoore
Here's to Renbanimoes! (And Germanimoes and...) I really liked the loop logic, and working out how many (and which) pentos it had to contain
on 30. December 2023, 18:25 by yttrio
Fantastic puzzle! I particularly liked a lot of the logic required to determine how the loop must grow in order to ensure there were full pentominos throughout the loop. I made a couple of errors along the way due to misreading the red dot rules, but those mistakes were definitely on me.
on 30. December 2023, 10:19 by SeveNateNine
Enjoyable solve, just a bit harder than three stars in my opinion.
