Fillomino (Checkered) by Prasanna Seshadri

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Fillomino 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, a number entry mode, and shading for this variation.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 21st puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Fillomino rules. Also, it must be possible to shade some polyominoes black so that no bordering polyominoes are the same color (in other words, the grid must allow a two-color shading). Also, see this example:

Fillomino (Checkered) example by Thomas Snyder

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 7th column.

Time Standards (highlight to view): Grandmaster = 4:30, Master = 8:00, Expert = 16:00

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.

  • Nikolai says:

    Ah, I’m very happy to see that this variation is catching on 🙂

    The solve went very smoothly for me, so much so that I was quite surprised with the time standards after that. But I can see how it could take a lot longer if you’re solving the type for first time.

  • Aaron Chan says:

    I solved this using the “ab G vagrefrpgvba” rule, which went pretty quickly.

  • chaotic_iak says:

    06:44.

    Another impressive hidden polyomino. Great puzzle.

    I’m not sure whether looking at T intersections or shading the polyominoes does better, because I was stuck using T’s and only after I started shading that I noticed the next step. But it went pretty smooth.

  • Rog says:

    I loved this variation. I had never seen it before, and it solved wildly differently than a normal Fillomino.

  • James McGowan says:

    Quite satisfying to solve a Fillomino using Paint-filling (2 colors only) for a change.

  • Matt says:

    New mechanic for me, I liked it a lot!

    Is it a coincidence that: rkprcg sbe gur barf, nyy riraf ner purpxreobneqrq bar pbybe naq nyy bqqf ner gur bgure pbybe?

    • Grant Fikes says:

      I assume it’s a coincidence, since it’s fairly easy to divide a Checkered Fillomino grid in such a way that all of the regions are odd or all of the regions are even.

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