Fractured Islands
(Eingestellt am 7. Mai 2026, 11:01 Uhr von Rab3aron)
Fractured Islands
Rules:
Regions: Divide the grid into 9 non-overlapping regions (they do not have to be orthogonally connected).
Sudoku: Place the digits 1–9 exactly once in each row, column, and region.
Cluster: A cluster is a group of orthogonally connected cells within a single region that cannot be extended by adding any orthogonally adjacent cell from that region.
No-Touch Rule: Clusters from the same region cannot touch, even diagonally.
Shape Rule: Each cluster must form a rectangle or a square.
Count Rule: The number of square clusters is at most twice the number of non-square rectangular clusters.
Pink Dot: A pink dot indicates that the cell’s cluster is not a 1×1.
Circle: A circled digit equals the number of clusters in that circle’s region. All circled digits are different.
Square: A digit in a square equals the size of the largest cluster in that square’s region.
White Dots: Cells joined by a white dot belong to the same cluster and contain consecutive digits.
Arrow: A digit in an arrow cell equals the size of the largest cluster seen in that direction, including the arrow cell's own cluster. A cluster is counted if at least one of its cells lies in that direction.
Cage: Digits in a cage sum to the value in the cage’s top-left cell.
Outside Clues: A number outside the grid equals the number of distinct REGIONS that appear anywhere in the corresponding row or column. Green clues are correct, while red clues are incorrect.
Happy solving!
Puzzle:
Lösungscode: Row 3, from left to right, with "/" for cluster borders. Example: 123/456/789
Kommentare
am 11. Mai 2026, 22:03 Uhr von Dcs
I think I'm misunderstanding the rules. For example, for the circle which contains an 8, the only way I can see this could be filled would be with a 1x2 rectangle cluster and 7 1x1 square clusters which breaks the count rule. Where am I going wrong?
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Hey, the count rule is not per region, its a global constraint.
- Rab3aron
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Ahh, that makes a lot more sense!
What an unhinged idea for a puzzle. Worthy of 6* difficulty rating to me, absolutely beautiful concepts.
- Dcs
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Thank you so much, appreciate your feedback and glad that you enjoyed the puzzle :)
- Rab3aron
am 9. Mai 2026, 06:00 Uhr von BeeBoi
I've much enjoyed these remixes on earlier puzzles of yours. :)
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Thank you for the feedback, glad that you have been enjoying my puzzles :)
- Rab3aron
am 7. Mai 2026, 18:28 Uhr von henrypijames
If a cluster cannot be extended, wouldn't every cluster always take up the whole region?
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A cluster can't be extended using orthogonal cells.
There can be for example a cluster of 3 cells and then a cluster of 6 cells that don't touch orthogonally or diagonally, and together they form a region, the cells in each region don't have to be orthogonally connected.
- Rab3aron
