Sudoku Variants Series (445) - Cage relations (a.k.a. XY-cages)
(Published on 10. October 2025, 06:00 by Richard)
I will see how long it takes before I am running out of ideas.
Cage relations
Inspiration for this type comes from glum_hippo.
Solve online in Sudokupad.
Apply classic sudoku rules.
Digits in cages may not be repeated. Each cage has a sum that can be derived by adding all the digits it contains. A diamond between two cages indicates that their sums have a difference (white diamond) or a ratio (black diamond) that is equal to the topmost (in case of a column) or leftmost (in case of a row) digit of the column or row in which the diamond is placed.
Solution code: Column 5
Comments
on 22. December 2025, 14:37 by zembrost
came here from the advent, i'm in love with this variant. super awesome
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Reply: That's nice to read!
You should check out those of glum_hippo too. Although they are delibarately harder.
I have some leftover puzzles from the Advent series (too hard), among which there are two one suitable Cage Relations. I don't know when yet, but they will be published at some point here in the portal.
on 22. December 2025, 14:35 by SennyK
Lovely!
on 24. October 2025, 20:05 by pin7guin
Wow - geniale Variante!
Zuerst habe ich es immer wieder angeschaut und verschiedene Möglichkeiten durchgerechnet - nach dem Einstieg ging es dann smooth durch.
Sehr empfehlenswert, danke Richard!
on 13. October 2025, 23:51 by dzamie
Tough break-in! It's actually pretty remarkable how smoothly the rest of the puzzle goes once you figure out a couple of cage sums.
Really neat constraint, too!
on 11. October 2025, 10:30 by Playmaker6174
Took a while to work on the opening, but there're lots of interesting deductions throughout with the cage sums!
on 10. October 2025, 12:58 by marcmees
very nice again. Thanks
on 10. October 2025, 12:49 by Franjo
Amazing puzzle! The unusual ruleset made it trickier than expected - for me, at least. (I gave 3*.) Thank you very much for creating and sharing another lovely SVS-episode.
on 10. October 2025, 08:22 by Piatato
Fun!
on 10. October 2025, 06:14 by glum_hippo
Splendid! This really highlights some of the best aspects of this rule set. I hope many others will feel inspired to create something.
