Party Lines
(Published on 2. March 2025, 04:42 by Sotehr)
PUZZLE
RULES
Sudoku: Normal Sudoku rules apply; place the digits 1-9 once in every row, column, and 3x3 box.
Ambiguous Lines: All lines are one of two types of Polarity Lines. Each line is of one type in one grid, and the other type in the opposite grid. It is up to the solver to determine the nature of each line in the grid. Note: Different colors are used only to distinguish line intersections.
Polarity Lines: Digits along a polarity line alternate between high {6,7,8,9} and low {1,2,3,4} or prime {2,3,5,7} and composite {4,6,8,9}.
Black Kropki: Cells separated by a black dot have values in a ratio of 1:2.
Disjoint: Cells in the same position on both grids cannot have the same digit, with one exception indicated by a circle.
Ambiguous Lines: All lines are one of two types of Polarity Lines. Each line is of one type in one grid, and the other type in the opposite grid. It is up to the solver to determine the nature of each line in the grid. Note: Different colors are used only to distinguish line intersections.
Polarity Lines: Digits along a polarity line alternate between high {6,7,8,9} and low {1,2,3,4} or prime {2,3,5,7} and composite {4,6,8,9}.
Black Kropki: Cells separated by a black dot have values in a ratio of 1:2.
Disjoint: Cells in the same position on both grids cannot have the same digit, with one exception indicated by a circle.
NOTES
Expected Difficulty: 4 stars
This was set for Ratfink's Twitch Train for RoflsALot to solve. RoflsALot generally enjoys twindoku/gemini grids, and I had lamented the missed opportunity after I published my last one that I didn't title it Party Lines, since during the solve the Polarity and Parity Lines were mixed up a few times. This puzzle has been in my brain since then.
This was set for Ratfink's Twitch Train for RoflsALot to solve. RoflsALot generally enjoys twindoku/gemini grids, and I had lamented the missed opportunity after I published my last one that I didn't title it Party Lines, since during the solve the Polarity and Parity Lines were mixed up a few times. This puzzle has been in my brain since then.
TWITCH TRAIN
Play Party Lines on SudokuPad.
Solution code: Box 9 of the grid with the lower digit in r9c9, in normal reading order.
Last changed on on 3. March 2025, 12:56
Solved by roflsalot, gdc, isajo4002, SincereEngineer, dennischen, by81996672, jjj, Da Letter El, aqjhs
Comments
on 2. March 2025, 22:07 by dennischen
Very interesting puzzle, thanks!
