Patron Puzzle: Fillomino (Shape) by Palmer Mebane
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: Dyck Paths (This variation was written for Chris Green, one of our Super Grandmaster patrons)
Author/Opus: This is the 36th puzzle from our contributing puzzlemaster Palmer Mebane.
Rules: Standard Fillomino rules. Also, the shapes shown below the grid must appear as polyominoes in the grid. Shapes may be rotated, but may not be reflected.
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 1st row, followed by a comma, followed by the 9th row.
Time Standards (highlight to view): Grandmaster = 5:15, Master = 6:45, Expert = 13:30
Solution: PDF
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.
34:29.Ran into serious troubles after placing the 7 that was intended to be positioned first in the wrong spot.Once I determined the correct place of the first 7 the rest fell into place more or less quickly.Great puzzle.
16:06 This shape-constrained Fillomino was a ton of fun. Finding room to rough-fit all of the 7s to start made for a fun opening.
04:06.
Impressive construction here. My original assumptions about the positions of the 7s were all wrong as I quickly reached contradictions. I think I still used intuition a lot though there; I’m not quite sure how to prove uniqueness.