Exploring the idea of rotational pairs, invented by sirxemic. You may try this introductory puzzle to get accustomed to the new constraint. Enjoy!
Rules:
Normal Sudoku Rules apply. Place the digits 1-9 exactly once in each row, column and thick-outlined box.
Normal Killer Rules apply. Digits in a cage must sum to the number in the top left corner of the cage. Digits may not repeat in a cage.
Rotational Pairs Rules apply. Every digit, except the digit in the center (r5c5), has a 'partner digit' that is always placed 180° rotationally symmetrical to it, seen from the center of the grid. Which digits are paired up must be deduced by the solver. (Example: If the digits 1 and 2 turned out to be a rotational pair, and r2c4 is a 1, r8c6 must be a 2.)
Solution code: Row 7 and Column 6
on 27. April 2024, 14:17 by The Book Wyrm
Brilliant puzzle!
Really enjoyed how the rotational pairs affect the cages and how everything interacts together. Very cool.
on 21. February 2023, 09:37 by Geppeto
Loved it.
on 20. February 2023, 00:40 by SimplePurpleFrog
Very elegant indeed. Thank you for a very good puzzle.
on 4. February 2023, 14:39 by Jesper
Good puzzle, thanks! Elegant break-in.
on 3. February 2023, 20:31 by SudokuHero
Amazing puzzle. All the deductions were not too difficult once you saw them, which makes it even more brilliant. The rotational symmetry messed with my head in some parts, but I got there in the end!
on 2. February 2023, 20:24 by ViKingPrime
Brilliant puzzle, right up until the very end. Took me far longer than I want to admit to unwind it at the end but once you see it, it's sublime.