Convergence
(Published on 11. October 2024, 12:30 by Jolly Rogers)
This puzzle was designed to be a smaller warm-up puzzle for a harder 9x9 version, coming soon.
RULES:
- Normal Sudoku rules apply.
- All cells in the grid are either part of a Galaxy or a Killer cage, never both. Cells containing a corner clue must belong to a killer cage.
- Killer Cages: A killer cage is a group of orthogonally connected cells with no repeating digits. Killer cages containing a corner clue must sum to that number. Not all killer cages have a given sum clue.
- Cage sizes must be unique, e.g no two killer cages can contain the same number of cells. And different killer cages must not share an orthogonal edge.
- Galaxies: Divide the grid into non-overlapping groups of orthogonally connected cells. Each group contains a red diamond and is 180° rotationally symmetric around the diamond.
- Rotational Differences: Within a Galaxy, cells rotated 180° from each other must differ in value by the digit in their red diamond.
LINKS:
Here is an example image for how the rotational difference can work within a galaxy:
Hope you enjoy.
Solution code: Row 1, only the digits which are in galaxies (left to right)
Solved by thrutch, Papaya, jkuo7, marcmees, Zandi, Chefofdeath, wdaley1, anonymoose, LehanLehan, yttrio, TheHiveMind
Comments
Last changed on 13. October 2024, 18:12
on 11. October 2024, 18:55 by Chefofdeath
Very nice ruleset! Can’t wait for the 9x9 version to drop :)
- Thanks! The 9x9 version is now live :) https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000K8B
Last changed on 11. October 2024, 15:04
on 11. October 2024, 14:15 by Yoica
Do the numbers inside the diamond have any use?
- It's the last rule: Rotational difference, where within a galaxy digits rotated 180 degrees from each other must differ in value by the number in their diamond :)
