Granular Impurities
(Published on 16. February 2025, 12:19 by Allagem)
I'm finally experimenting with 10-Lines and they are quickly becoming one of my favorite constraints. There's just so much you can do with them! I wanted to mix 10-Lines with another constraint and I thought Minimum cells could create some unique interactions that haven't really been explored before. You want to break each 10-Line into pieces, but the minimums limit how small of a piece you can use. :) This design stuck out of the many, many iterations I explored not because it was the most difficult or featured the most unusual 10-Line sums, but because it was by far the most elegant in terms of visual design, interaction themes, and solution path. I intended to create a slightly harder puzzle, but this is the design that deserves to be published.
This puzzle is also a great excuse to show off my new visuals for 10-Lines that I debuted in
Boba the Cat! You can use the pen tool in SudokuPad to fill in the segments of the 10-line as you solve the puzzle to visually represent the logic of the 10-Line! I hope this visual style gets picked up by other 10-Line puzzles - I think it works perfectly! :) I suppose this means I'm advocating for the canonical color for 10-Lines to be white. They are certainly interesting enough to be worthy of such an audacious color! :D
I hope you enjoy Granular Impurities!
Normal Sudoku rules apply.
10-Lines: Each white line can be divided into one or more segments that each sum to 10.
Minimums: Each digit in a shaded cell is less than its orthogonally adjacent neighbors in unshaded cells (as indicated by the inequality symbols).
Solution code: Row 5
Solved by Fool on Hill, SKORP17, Ambrose, Myxo, dickey, dumediat, mnasti2, Joyofrandomness, cirne
Comments
on 17. February 2025, 02:22 by mnasti2
Really nice, clean deductions all over the place! Very well made
on 17. February 2025, 02:15 by dumediat
Fun puzzle and nice design, thanks!
on 16. February 2025, 17:48 by Myxo
Great puzzle, and I am loving the ten lines design!
on 16. February 2025, 14:07 by Fool on Hill
There are indeed some cool interactions between the clues. Lovely puzzle.