Ominoku 5x5
(Eingestellt am 13. November 2025, 15:42 Uhr von eap314)
Fillomino construction: Fill the grid with regions such that ALL cells contain HIDDEN digits that give the size of their region and ALL constraints are valid under these fillomino digits (a 2-cell 6 cage could be contained within a 3-cell region, a given 2 has to be in a 2-cell region, etc). Regions of the same size do not touch orthogonally.
Partial sudoku: Fill the grid with sudoku digits 1-5 such that digits do not repeat in rows, columns, or fillomino regions and ALL constraints are valid under these sudoku digits.
Digits in killer cages sum to the total indicated and CAN repeat if allowed by other rules.
Digits on an arrow sum to the digit in the attached circle.
Thanks to flutchman and other solvers for playtesting the example:
Note: Fillomino digits and sudoku digits are different. Because of the small region size, it's recommended to use the surface tool to refer to fillomino digits and use numbers for sudoku.
Solution: (combined on left, fillomino only on right)
Now for the 5x5!
Play in penpa or play in sudokupad with 2 grids and answer checking
For a polished 9x9 (with properly difficult irregular sudoku) check out NXTMaster's Red-Hot Ominoku with a thanks for testing my puzzles and accepting the setting challenge.
Lösungscode: Row 4 sudoku digits followed by row 4 fillomino digits (left to right, 10 digits)
Kommentare
am 11. Januar 2026, 10:27 Uhr von SirShyLordy
took a bit to understand exactly what fillomino was, but after getting there, it was an excellent puzzle
am 15. Dezember 2025, 22:55 Uhr von THef of Time
Beautiful little puzzle
am 5. Dezember 2025, 01:47 Uhr von eap314
- waffles_the_dog Sudokupad link
- NXTMaster's puzzle
am 30. November 2025, 19:11 Uhr von The Book Wyrm
Fun little puzzle. Very cool concept, I like the idea of it.
I think there's potential here, preferably with a puzzle that has more interaction between parts during the solve rather than being able to mostly complete one on it's own like this.
...
You can make fillomino deductions that are complex but not guess and check even with just standard fillomino, and variants allow for a lot of interesting deductions.
(Also just tested NXTMaster's one earlier today, it's great)
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eap314:
[Sudokupad link added]
[Wrong info from myself removed]
Today I learned I'm bad at fillomino. I'm glad that NXTMaster has picked up the slack for me.
am 16. November 2025, 03:18 Uhr von waffles_the_dog
Thanks for clarifying the fillomino rules!
This was a really fun and approachable puzzle.
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eap314:
Thank you for the sudokupad link. I've included it now.
am 14. November 2025, 14:06 Uhr von eap314
Updated fillomino rules a few times and made the example easier to understand (and unique). Thanks to GraphZahl81 and SennyK
am 14. November 2025, 13:08 Uhr von SennyK
Maybe it could be worth adding example titled "sudoku digits - solution" showing sudoku solution and next to it example titled "hidden fillomino digits - solution" showing fillomino solution with fillomino digits, I think this could really help to understand it faster.
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eap314:
You gave me the motivation to actually update the example. Thank you. I hope this is easier to understand.
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SK: You are welcome, now it is clear! I myself was at first wondering how do I know which digits show the size of region, not understanding that those digits are hidden and have nothing to do with sudoku digits. This is because I never saw a fillomino before.
am 14. November 2025, 09:48 Uhr von NXTMaster
Took me a bit to remember the rules for fillomino. For some reason I thought the "regions" in fillomino behaved like [polyominos] with cells not containing anything, but once I remembered the entire region is made up of its size as a digit in each cell, the rules suddenly made sense.
What makes you think it isn't too viable? I think it has potential
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eap314: [thanks, fillomino rules updated]
I thought it'd be hard to wrap your mind around, and for bigger puzzles it's difficult to keep track of how fillomino digits satisfy the constraints. I guess some people really enjoy these snacks though.
In future I might set a factored fillomino puzzle (regions where one is a multiple of the other do not touch orthogonally or maybe orthogonal regions must be coprime)
am 14. November 2025, 04:10 Uhr von SennyK
Interesting, must have been hard to set, well done! Thanks
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eap314: This one didn't take too long, but I was a little lucky that I figured out a way to make it unique.
am 13. November 2025, 20:46 Uhr von GraphZahl81
For anyone who isn't that familiar with fillomino, it would be nice if you state all fillomino rules. The important rule that two regions of the same size aren't allowed to touch orthogonally is currently not mentioned at all.
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eap314:
I forgot that in the mess of changing the puzzles. Thank you
am 13. November 2025, 20:02 Uhr von dzamie
That arrow in the upper-right is quite clever! This one took me a bit, really neat ruleset. I like that you can't *just* solve it as a fillomino, and then as a sudoku; you have to look forward a little to make sure the sudoku will be solvable as you do the fillomino numbers.
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eap314: You can almost solve it entirely with sudoku, but the added fillomino stuff is just more fun. Thanks for the comment!
