Logic Masters Deutschland e.V.

So one of Scojo's prompts is to use diagonal versions of clues that usually point orthogonally to the grid.

This puzzle came to life during a conversation with SamuPiano about diagonal clues for a full rank puzzle.

• Normal sudoku rules apply.
• The grid is projective:
  • Each edge of the grid is considered to be adjacent/orthogonal to its diametrically opposite edge. (For example, r3c1 is considered orthogonally adjacent to r7c9.)
  • 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 Decimal Full Rank:
  • There are 68 possible diagonals starting at an edge of the grid. Reading the (infinite) digits in the direction of a diagonal describes a decimal number between 0 and 1. (For example, if the digits along a diagonal are 123456789... then the described decimal number is 0.123456789...)
  • Red clues outside the grid show the rank of the pointed diagonal among the 68 numbers ordered non decreasingly.
  • Blue clues outside the grid show the difference between the ranks of the two pointed diagonals.
  • If two or more numbers are tied, their rank is the lowest of them.
  • The letter x stands for an integer number.

Online in Sudokupad

Diagonal example: