a leap of faith
(Published on 17. October 2025, 01:07 by aqjhs)
Here's a diagonal implementation of Sotehr's periodic sums constraint.
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Normal sudoku rules apply.
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The grid is projective:
- Each edge of the grid is considered to be adjacent/orthogonal to its diametrically opposite edge. (For example, r2c1 is considered orthogonally adjacent to r8c9.)
- Coloring on the edge indicates this identification.
- Diagonals wrap around diametrically opposite sides of the grid and reverse their orientation. (For example, a diagonal going through the NW corner of r4c1 would wrap to a diagonal entering r7c9 from its NE corner, and a diagonal going NW through r1c1 turns back on itself going SE through r1c1 itself.)
- Diagonal Periodic Sums:
- A number outside the grid indicates the sum of the seen cells along the indicated diagonal.
- Clues see the first cell and every Nth cell after that along the indicated diagonal, where N is the value in the first cell seen from the clue. (For example, if r6c9 is a 2 then the arrow pointing to it sees r6c9, r4c7, r2c5, ... and so on.)
- A cell seen multiple times is only added once.
Online in Sudokupad
See also:
Solution code: Column 5, top to bottom.
Last changed on -
Solved by Sotehr, starfall, tuturitu, SKORP17, zeniko, yellow, zhan, Ineffabilis, Exigus, kodra22, stqrlight618, earthpuzzles
Comments
on 20. October 2025, 10:15 by Exigus
Fantastic use of periodic sums. Thanks!
on 18. October 2025, 03:06 by zeniko
Once you wrap your head around this grid, it becomes fairly approachable. And I always like having this visually appealing double rainbow around the edges (not just but also for its consequences). Thanks for sharing.