XY-Cages
(Published on 1. May 2022, 06:05 by glum_hippo)
Standard Sudoku rules are in effect. That is, no repeats in row, column, nor 3x3 box. Killer cages may not contain repeat digits.
A white diamond between two cages means that the difference between their cage totals is equal to the topmost/leftmost digit in the column/row in which that diamond appears.
A black diamond between two cages means that the ratio between their cage totals is equal to the topmost/leftmost digit in the column/row in which that diamond appears.
| Example | Solution |
| F-puzzles link for the 6x6 example. |
F-puzzles link for the 9x9 puzzle.
Version for the CtC App
Solution code: Row 9, then column 7 (18 digits total).
Comments
on 11. July 2025, 06:45 by psams
Very enjoyable to see possibilities fall away, leaving the solutions, step by step. Quite a bit of math!
on 10. July 2025, 02:08 by Kawkaz
This is an amazing puzzle! It solves so nicely and smoothly.
This is the first time I was glad a puzzle doesn't contain a solution, it was a joy to put in the final digit and see that I did it correctly.
on 17. April 2023, 17:38 by Bankey
Amazing puzzle. Thanks, @ glum_hippo:)
on 3. May 2022, 05:49 by glum_hippo
Welcome to the site and thanks for solving, cfinnestad! Thanks also to BabaJ for solving & commenting
on 3. May 2022, 01:03 by cfinnestad
Good Puzzle. This is only my 2nd solve on this sight and I have posted 2 puzzles.
on 2. May 2022, 22:51 by BabaJ
Very nice puzzle, thank you.
on 2. May 2022, 21:23 by glum_hippo
Thank you to all who have commented. In particular to newcomer Nightingale's Code, with whom I've not yet had the pleasure. Thank you all also for solving & rating the puzzle.
on 2. May 2022, 21:04 by Nightingale's Code
Stunning puzzle! So many beautiful deductions and all the dots interacted with each other perfectly. One of the best puzzles I've done in a while I think. Thanks for sharing this!
on 2. May 2022, 11:00 by MagnusJosefsson
Very nice and fun puzzle with some fresh original logic!
on 2. May 2022, 00:14 by kolot
Very nice idea and execution. It was fun.
on 1. May 2022, 18:11 by Jesper
Fun variant, thanks!
on 1. May 2022, 17:40 by Vebby
Lovely XY variation! Greatly enjoyed figuring out the cage totals. Thanks Philipp :)
on 1. May 2022, 14:59 by twobear
Very fun arithmetic exercise! Thank you.
