### Fillomino (Kropki) by Prasanna Seshadri

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Almost Antisymmetric

Author/Opus: This is the 143rd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Fillomino rules. Also, if there is a white dot between two adjacent cells, then those cells must contain numbers that differ by one. If there is a black dot between two adjacent cells, then one of the numbers must be twice the other. Either a white or black dot can separate 1 and 2. All possible dots are given (i.e., no unmarked borders can have numbers that differ by 1 or have a quotient of 2).

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 2nd row, followed by a comma, followed by the 8th row.

Time Standards (highlight to view): Grandmaster = 8:45, Master = 13:30, Expert = 27:00

Solution: PDF; a solution video is available here.

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles and in Fill o’ Fillomino by Grant Fikes.

• Francis says:

I think that was the most fun I’ve had with a kropki variant.

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