Polychess Line
(Published on 14. March 2025, 12:55 by Scojo)
This puzzle uses the Polyline ruleset, inspired by Neokart!
Rules:- Normal sudoku rules apply: Place the digits 1-9 once each in every row, column, and 3x3 box.
- Kropki: If two digits are separated by a black dot, one is double the other. If two digits are separated by a white dot, they are consecutive. Not all possible dots are given.
- Polyline: Box borders divide the gray line into segments, each of which must be a valid chess line for one and only one of the following types: Bishop, Knight, Rook, or King. Segments that are directly connected may not be the same type.
- Chess Lines: Adjacent digits along a segment must be related by the standard movement of that segment's assigned chess piece, imagining the 3x3 numpad as a subsection of a chessboard. For example, if a chess knight were on the 3 on the numpad, it could only move to the 4 or the 8, so a 3 would only be able to be adjacent to a 4 or an 8 on a knight segment. Digits that are adjacent on the line across a box border do not need to be related in any way. Chess pieces used in this puzzle move as listed below:
- Bishop: Moves any number of squares diagonally.
- Knight: Moves in an ‘L-shape,’ two squares in a straight direction, and then one square perpendicular to that.
- Rook: Moves any number of squares horizontally or vertically.
- King: Moves one square in any direction.
Solve in SudokuPad
Solution code: Row 9
Comments
on 15. March 2025, 20:34 by Scojo
Updated link to fix an issue where the conflict checker falsely assumes an anti-king constraint.
on 15. March 2025, 18:45 by Voidslime
Very fun puzzle with interesting challenges and logic! For me the sudoku pad puzzle had classic kings constraint on which created a lot of errors despite correct placement.
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That's really strange, I don't know why that would happen. I'll see if I can figure out how to change that. - Scojo
on 14. March 2025, 22:26 by aqjhs
that's the spirit! and i don't even play chess
on 14. March 2025, 19:45 by palpot
Wonderful puzzle!
on 14. March 2025, 16:10 by ChinStrap
Wow. Loved this. My first chess line piece but there were some gorgeous bits to this
on 14. March 2025, 14:41 by StefanSch
As far as I understand the rules in the blocks 1, 2, 4 and 5 there is one chessline respectively. In every pair of these 4 lines, one lines is a neigbor of the other line. So all 4 lines must have different chess pieces. But this seems to be impossible.
Where is the mistake?
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No mistake, that is correct. - Scojo
on 14. March 2025, 13:16 by gdc
I was pleasantly surprised wen I saw this puzzle in testing yesterday. Great idea to combine chess lines with the Polyline rule by Neokart.
