Logic Masters Deutschland e.V.

⧆ Magical Loop ⧆

(Published on 4. November 2023, 08:05 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.

Magic Squares: Boxes 1 and 9 are magic squares. I.e., the sums of the digits in each row, each column, and both main diagonals are identical.

Modular Loop: Draw a single non-intersecting loop into the grid by connecting centers of orthogonally adjacent cells. The loop must fulfill the following rules:
  • The loop passes through all cells containing circles while it cannot pass through those with squares.
  • Digits in both circles and squares indicate how many of the up to 9 surrounding cells (including the cell itself) are visited by the loop.
  • Different loop segments cannot touch, not even diagonally.
  • The loop is a valid modular line. Each set of three adjacent digits along the loop must be one each from the sets [147], [258], and [369].

---- LINKS ----

Solve this puzzle in the CtC app

Solve this puzzle on f-puzzles.com


This is the tenth 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
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

Last changed on on 19. January 2024, 17:32

Solved by Franjo, Landelinus2005, najho, ananth, OutOfMyMindBRB, dskaff, Cheetos, Bootenks, tweak42, jkuo7, RebelSystem, Bjd, Vodakhan , Al Fresco, Felis_Timon, yttrio, giladooshlon, Jesper, AvonD, salimundo, ... heliosfant, ZornsLemon, FlashZange, codewizard, teuthida, LehanLehan, sorryimLate, susadoraku, Leoninus, Krisonium, SPring, Thibaa, jinkela114514, SKORP17, virus_dave, PippoForte, Kallor, dogfarts
Full list

Comments

Last changed on 1. May 2024, 07:49

on 1. May 2024, 07:49 by virus_dave
Oooof, this one felt much harder; i kept messing up the last bit of the loop's path, which then led to conflicts later towards the end.

on 26. December 2023, 00:45 by Virux
That took some time to complete. Loved every moment of it! thanks for the great setting.

Last changed on 7. November 2023, 23:23

on 7. November 2023, 23:22 by WeezerFan
This was a pretty fun one. Still not a fan of modular line sudoku though.

on 5. November 2023, 21:47 by yttrio
Another amazing addition to this loop series! Very fun to solve!

on 4. November 2023, 12:36 by Franjo
I‘m the first person to solve this lovely puzzle! Wonder why… Thank you so much for sharing it.

Difficulty:3
Rating:96 %
Solved:69 times
Observed:8 times
ID:000FPR

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