Anti-symmetry Fillomino
(Published on 24. July 2023, 01:38 by tesseralis)
My second puzzle with the "anti-symmetry" constraint first seen in Anti-symmetry hexominous. The ways different sizes of polyominoes interact with symmetry is interesting to me, and I hope I can convey some of that in this puzzle!
Rules
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.
Additionally, polyominoes with the same symmetry class cannot share an edge. Examples for symmetry classes.
Solve online on Penpa.
Solution code: Numbers in Row 10 followed by Column 10
Comments
on 26. July 2023, 21:24 by jessica6
Is a "2" domino and a straight "3" tromino the same symmetry class? Both have the same symmetries, however one of the symmetry axes of the "2" goes through a grid line while both axes of the "3" don't.
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yes, for the purposes of this puzzle, they have the same symmetry class
on 26. July 2023, 01:46 by Piatato
Very cool concept! Excellent webpage too :)
on 25. July 2023, 08:29 by Christounet
Very enjoyable puzzle ! Your very complete guide to polyominos symmetry provided the needed help along the way. Easier solve than expected with my lack of knowledge in that domain ! Thanks :)
on 25. July 2023, 03:46 by tesseralis
Update to a new version of the puzzle that fixes a logical leap in the old solution path.
on 24. July 2023, 03:40 by KNT
Really cool puzzle once I discovered your page here: https://minos.tessera.li/symmetry/table
