Logic Masters Deutschland e.V.

Hi everyone. Here is my new puzzle. I hope you like it.
I found the English literal lines in aqjhs' puzzle: bougainvilliers bétacyanines.
Many thanks to aqjhs for testing and giving feedback,

Rules:

1. Normal sudoku rules apply: Each row, column and 3x3 box contains each digit from 1 to 9 exactly once.

2. Polyline: The 3x3 box borders divide the ruby line into segments, each of which must have one of four constraints: Double arrows, Between Lines, Split Pea Lines, English Literal Lines.

• Each segment has exactly one constraint and must not satisfy any of the other three.
• Along the ruby line, adjacent segments must not have the same constraint.

3. Key Cells: The two cells that are adjacent to a segment along the line are called the key cells of that segment. (e.g., the segment containing r7c2 and r8c3 has r6c1 and r8c4 as key cells.) Note that the key cells of a segment are not part of the segment itself, but are always on the line as part of other segments. Key cells help define the constraint of the segment.

4. The constraints along the lines are as follows:

• Double Arrow: The sum of the digits on the segment must equal the sum of the digits in its key cells.
• Between Lines: Digits along the segment must be strictly between the digits on its key cells.
• Split Pea Lines: Digits on the segment sum to a two-digit number, where the "tens" digit is in one of its key cells and the "ones" digit is in the other.
• English Literal Lines: Any three consecutive cells along the segment must contain digits with different number of letters in their english name, i.e., one each from the sets {1,2,6}, {3,7,8} and {4,5,9}. Digits on two-cell "english literal line" segments cannot be from the same set.

5. Kropki:

• Digits joined by a white dot must be consecutive.
• Digits joined by a black dot must be in a 1:2 ratio.
• Not all dots are necessarily given.

Solve on SudokuPad

Have fun solving!

Here you can find the other puzzles in the series:

Polyline 1

Polyline 2

Polyline 3