Dutch Fillomino Mates
(Published on 10. April 2025, 22:32 by mathpesto)
Rules:
Fillomino: Divide the grid into polyominoes so that polyominoes of the same size don't share an edge. Each cell contains a number equal to its polyomino's size.
Dutch Flat Mates: Every 5 in the grid needs a 1 above it and/or a 9 below it.
Arrows: Numbers on cells with arrows refer to the total amount of monominoes, pentominoes, and nonominoes* seen in the indicated direction(s). If multiple arrows in a cell see the same polyomino, it is only counted once. (* 1-cell, 5-cell, and 9-cell polyominoes.)
Solve online:
Solution code: Numbers in bottom row (left to right)
Comments
on 19. July 2025, 13:11 by StephenR
Thanks, enjoyed that one. The extra rules added an interesting twist. Oddly my solve was quite smooth while at the same time I made a lot of mistakes as I kept miscounting or forgetting the double-counting thing.
on 18. April 2025, 16:54 by MaizeGator
Classic MathPesto fillomino puzzle here. Great variety of localized deductions and a smooth path that is nicely telegraphed
on 12. April 2025, 03:00 by sujoyku
Phenomenal! Thank you, mathpesto!
on 11. April 2025, 18:36 by palpot
Fun puzzle! very clever interactions between the Fillominoes and the Dutch Flat Mates.
on 11. April 2025, 13:18 by Flinty
Superb title. I'll have to add to my observed list for now though, and learn how to solve it eventually. <3
on 11. April 2025, 01:21 by goodcity
Great fun !
on 10. April 2025, 23:22 by jessica6
define "see".
- is the cell with the arrow included?
- does an arrow see its own polyomino (that is, if the arrow cell is a 5 or 9, and the next cell in the direction of the arrow is the same number)?
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The cell with the arrow is not included in the count, but it is possible for the arrow to see its own polyomino.
on 10. April 2025, 22:39 by sfushidahardy
Very nice!
