Logic Masters Deutschland e.V.

Modline Matryoshka

(Published on 29. December 2025, 07:49 by cygne)

Modline Matryoshka by Cygne

Rules

  • Normal Sudoku rules apply. The digits 1-9 must appear once each in every row, column, and 3x3 box.
  • Diagonal: the digits 1-9 must additionally appear once each along the indicated diagonal.
  • Modular Lines: any set of three adjacent digits along a teal line must have different values modulo 3. In other words, it must contain one digit from the group (1,4,7), one from the group (2,5,8) and one from the group (3,6,9).
  • XV Sums: digits separated by an X sum to 10. Digits separated by a V sum to 5.
  • Kropki Dots: digits separated by a white dot are consecutive.

Play in SudokuPad

I was thinking about a previous puzzle, Entropic Triangles, and wondering how I can make use of a similar geometry to a different effect, and that's how this puzzle was born. Hope you enjoy it!

Solution code: Row 9 digits, left to right

Last changed on on 29. December 2025, 15:54

Solved by zhangjinyang, thomamas, armin-k1, mnhuik, plinke, NineK, anthe95, scushuaishuai, PinkNickels, marcmees, macintux, milxqueen, miranda_9, noodlehead, SKORP17, Harold, Bravissimo, weiken, mabjim007, ... Photyne, opilla, Simor, Plastosia, maan56, Epsiloneuclid, mackant1, Mijern, crunchie, Romordis, Vaurien, abihummel, Firmus, thintheboxking, Yarglof, koiking, Frank Puzzles, Motty, ecmbeanie
Full list

Comments

on 16. January 2026, 07:03 by ecmbeanie
Very nice geometry to the solve. Also quite pretty if you do it as a coloring puzzle.

on 7. January 2026, 18:34 by pmakholm
Lovely puzzle, with a quite nice interaction aĺl the way through even to it is not that difficult.

on 31. December 2025, 09:41 by Killer-Ly
A quick lovely morning snack. Love vx and modular anyway. 13 minutes for me. Thank you!

on 30. December 2025, 07:17 by michael_787
Once you get the colouring right, the puzzle solves itself due to the constraints. A beautifully constructed puzzle. Might be a bit difficult for beginners, though.

on 29. December 2025, 20:36 by pjot
Beautiful coloring puzzle. It really did fall apart from the cleverly placed constraints

on 29. December 2025, 17:00 by macintux
I’m tempted to rate that at a 2 star for difficulty, but I still finished in under half an hour. Certainly wouldn’t be easy for someone new to these puzzles.

Enjoyable regardless, thanks.

Difficulty:1
Rating:90 %
Solved:159 times
Observed:1 times
ID:000QPG

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