Fillomino (Symmetry) by Murat Can Tonta

Fillomino by Murat Can Tonta

(View image directly for larger form.)


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: Clue Symmetry and Logic

Author/Opus: This is the 61st puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Fillomino rules. Also, all polyominoes should have rotational symmetry as in this example:

Fillomino by Serkan Yürekli

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 3rd column, followed by a comma, followed by the 10th column.

Time Standards (highlight to view): Grandmaster = 7:30, Master = 10:45, Expert = 21:30

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.

  • SS says:

    Another really clever restriction and design. I enjoyed this one quite a bit. At first, I had a bit of trouble understanding that the rotational symmetry element specifically refers to 180-degree rotations.

    • Albert says:

      I don’t understand what r.symmetry actually means. The example is not clear. All polym with the SAME NUMBER should have the same shape rotated? I found problem with the 6’s..

      • Avatar photo drsudoku says:

        It may help to look at another puzzle style here, Spiral Galaxies, where every shape has rotational symmetry. Just as in a solution to a Spiral Galaxies puzzle, in this Fillomino every region has 180 degree rotational symmetry. Individual shapes can be different, but for example a 3 fillomino has to be a 1×3 rectangle and not an L shape, as only the 1×3 rectangle has rotational symmetry.

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.