Mirror Paradox
(Published on 1. March 2025, 13:00 by graggle)
Mirror Paradox
- Normal sudoku rules apply.
- Negative diagonal: Digits must NOT repeat on the marked diagonal.
- Reflected cages: The marked diagonal also indicates a line of reflection for the grid. All cages are reflected across this line. Reflected cages have the same sum as the original cage. For example, if there was a 5-sum cage containing R4C1 and R4C2, then there would also be a 5-sum cage containing R1C4 and R2C4.
- Anti-reflected digits: Digits must NOT repeat in their reflected cells. For example, if R2C8 were to contain a 3, R8C2 could not contain a 3 as well.
- Killer cages: Digits in cages must sum to the number in the top-left corner (if given) and cannot repeat. Where a number is not given, the cage and its reflected cage both sum to x, where x is to be determined by the solver. To clarify, x is the same for pairs of reflected cages, but not necessarily the same for all unmarked cages.
Solve it on CTC .
Please feel free to ask any question regarding the puzzle in the comments and I’ll do my best to respond ASAP :)
Happy solving!
Solution code: Row 8, left to right. Answer should be 9 characters, no spaces.
Comments
on 9. March 2025, 20:31 by puma17
Clever setting, and a very creative use of the constraints. It provides a "slow-burning" journey with some great logical deductions. Thank you !
on 7. March 2025, 06:51 by meatbox
that was fun, thanks
on 6. March 2025, 01:20 by graggle
Just want to say, massive thanks to James Sinclair for mentioning this puzzle in the most recent volume (165) of Artisanal Sudoku!
on 4. March 2025, 02:34 by Garizon
Very well constructed puzzle and interesting rule set.
on 1. March 2025, 19:28 by AnebodaSlatorp
Lovely
on 1. March 2025, 16:44 by jwsinclair
Really nicely-constructed, makes great use of the ruleset. Enjoyed this a lot :)
on 1. March 2025, 16:17 by Snookerfan
Excellent puzzle! Really fun and well put together. Thank you
