N-tropy
(Published on 13. April 2025, 20:01 by Sotehr)
PUZZLE
RULES
Sudoku: Normal Sudoku rules apply; place the digits 1-9 once in every row, column, and 3x3 box.
Polyline: The red line is divided by 3x3 box borders into segments of one of three types, such that no two adjacent segments are of the same type.
Nine-tropy Line: Every four cells must have one digit from each of the sets that sum to nine, that is {1,8}, {2,7}, {3,6} and {4,5}.
Ten-tropy Line: Every four cells must have one digit from each of the sets that sum to ten, that is {1,9}, {2,8}, {3,7} and {4,6}.
Eleven-tropy Line: Every four cells must have one digit from each of the sets that sum to eleven, that is {2,9}, {3,8}, {4,7} and {5,6}.
Black Kropki: Cells separated by a black dot with an integer value "N" have values in a ratio of 1:N.
White Kropki: Cells separated by a white dot have values with a difference of one.
Polyline: The red line is divided by 3x3 box borders into segments of one of three types, such that no two adjacent segments are of the same type.
Nine-tropy Line: Every four cells must have one digit from each of the sets that sum to nine, that is {1,8}, {2,7}, {3,6} and {4,5}.
Ten-tropy Line: Every four cells must have one digit from each of the sets that sum to ten, that is {1,9}, {2,8}, {3,7} and {4,6}.
Eleven-tropy Line: Every four cells must have one digit from each of the sets that sum to eleven, that is {2,9}, {3,8}, {4,7} and {5,6}.
Black Kropki: Cells separated by a black dot with an integer value "N" have values in a ratio of 1:N.
White Kropki: Cells separated by a white dot have values with a difference of one.
NOTES
Expected Difficulty: 2.5 stars
Play N-tropy on SudokuPad.Solution code: Box 5, left to right top to bottom.
Last changed on on 16. April 2025, 20:38
Solved by SKORP17, Visumation, Freegerator, ananth, Nillivar, aqjhs, dickey, Jeds, matthew.v, paranoid, Natclass, ChinStrap, Scojo, karlmortenlunna, dumediat, sujoyku, Black_Doom, Neokart, tgstar, joelth
Comments
on 30. May 2025, 05:28 by Neokart
I really enjoyed this puzzle. I loved the symmetry, and it had lots of interesting logical steps. Great work!
on 8. May 2025, 16:31 by ChinStrap
Nice! Very different from normal tentropy puzzles since you can't color outside the box but it was fun!
Last changed on 22. April 2025, 23:59
on 22. April 2025, 19:33 by Natclass
I really loved how this all worked out. Great job!
- Aw, thanks Nat! Hope you're well. - Sotehr
on 19. April 2025, 09:23 by matthew.v
Great puzzle!
on 16. April 2025, 23:28 by aqjhs
a great addition to the polyline multiverse :D
on 13. April 2025, 22:45 by Freegerator
Fun puzzle, thanks!
