Logic Masters Deutschland e.V.

Hi everyone, this is my new puzzle. Mono (Monkey) is the final puzzle in the series inspired by the Nasca lines, a group of geoglyphs in southern Peru. I want to end the series with one of its most iconic figures and also remembering some variant lines I used in the series. I hope you like it.

Solve in SudokuPad

Solve in Penpa

Rules:

1. Gattai: The grid is made up of five overlapping 9x9 grids. For each grid, normal sudoku rules apply: Each row, column and marked 3x3 box contains each digit from 1 to 9 exactly once.

2. Kropki Pairs (global rule): Digits joined by a white dot must be consecutive. Digits joined by a black dot must be in a 1:2 ratio. Not all possible dots are necesarilly given.

3. Constraint rules: Each 9x9 grid has its own variant rules. Within each grid, the rules for variant lines apply to the line segments into which the grid boundaries divide the brown line. e.g., for the rules in grid 1, there are considered to be two separate, independent lines, one containing r9c6 and the other containing r9c8.

- (Grid #1)
German Whispers: Along each line, digits must differ by at least 5.

- (Grid #2)
Region Sum Lines: 3x3 Box borders divide each line into connected segments with the same sum. Note that r1c1 does not connect to any other segment in the grid, so it does not count.

- (Grid #3)
Modular Line: Along the line every set of three sequential digits must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}.
Anti-knight: Cells which are a chess knight's move apart cannot contain the same digit. This only applies when both cells belong to grid #3.

- (Grid #4)
Dutch Whispers: Along each line, digits must differ by at least 4.

- (Grid #5)
BYO Palindromes: From each of the 4 ends of the brown line on the grid (r7c1, r7c4, r7c6 and r9c2) draw a non-branching line that visits two or more cells and follows a path traced by the brown line.

• Not all cells on the brown line that lie within the grid are necessarily visited by any of the 4 lines.
• The 4 lines are different and must not overlap, although they may touch or cross each other (i.e. they may share a cell, but they cannot connect the same pair of adjacent cells along their path).
• Each line must not visit the same cell more than once.
• Each line is a palindrome that reads the same backwards and forwards.

Note:

Here you can find an example puzzle for the rules of grid #5, taken from the puzzle: Astronauta.
Solve example (6x6 grid) for grid #5 on SudokuPad

Have fun solving!

---

Hint 1: (highlight below)

From the start, you can almost finish with grid #5 (only 2 undecided digits).

Hint 2: (highlight below)

In grid #5 you can determine which of the 4 palindromes go into box 5 and which go into boxes 4 and 6. Then you can analyze where the centers of the palindromes that go into boxes 4 and 6 are by considering where they would end up. These lines look very free, but they are actually very constrained by the kropki dots, the shape of the brown line, and each other.

---

Here you can find the other puzzles in the series:

#1 Alcatraz

#2 Araña

#3 Ballena

#4 Cactus

#5 Árbol

#6 Colibrí

#7 Cóndor

#8 Flor

#9 Astronauta

#10 Lagarto

#11 Manos

#12 Mono