Logic Masters Deutschland e.V.

I watched a video on the zetamath sudoku setting stream and couldn't resist checking the sudokumaker.app site. I immediately got hooked. Here’s the outcome. I wanted to make something out of the ordinary so I chose some rules which I don’t know if others have introduced before; if so they may exist with other names. My thanks to zetamath for demonstrating, and to sirxemic for his wonderful and user friendly sudoku maker. I loved the Preferences: Advanced: Cosmetic lines with grid-resolution-10 option, for drawing.

Rules:

Normal sudoku rules apply, plus:

1) Matching pairs. Any digit on a "pairline" appears exactly twice on that line. Blue and red is just for disambiguation.

2) Parity cages. All numbers in a cage are of the same parity. In this puzzle they sum up to the square of one of them. They may repeat if allowed by other rules.

3) Next-door neighbours: Any chess piece considers only the locations it could move to in their next turn on a chess board and scans them for clustered digits (>1 digit, touching each other orthogonally or diagonally). Each piece must be able to collect itself, by finding an occurrence of such clustered digits summing up to its own value.

4) Math symbols for inequality have conventional meaning (open toward a higher value and point their tip to the lower one).

For clarification of rule 3: As an example, if a queen were positioned at R1C8, the combination of e.g. R3C6+R2C7+R2C8 could serve as a cluster and the R3C6 could possibly be identical to one of the others.

Solve here: Sudokupad link

I hope you'll like it!