This is a Fillomino puzzle.
Puzzle 320
(Click for larger size)
Entirely symmetrical except for one little clue. That means the solution ought to be mostly symmetrical too… right?
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Melon's Puzzles 
May 25, 2011 at 5:23 am |
Very fun. I was struggling a bit until I counted the givens. It was quite simple after that.
May 25, 2011 at 9:12 am |
Warning: Miscounting brings disaster. I miscounted it a few times before… xD (But now I counted correctly, and the puzzle has (quite unexpectedly) a unique solution.)
Um… Is it possible to do this without the center two givens? My intuition says so, but I haven’t tried it…
May 25, 2011 at 10:52 am |
No. A single 36 can run around the outside.
A full ring is 36. Take off 3 in the bottom left corner. Another forced square at each of the bottom left and top right. There are several options for the last square of the 36, and many options for the remaining squares.
May 25, 2011 at 2:33 pm |
Yes, making sure that there can’t be a single 36-omino was a key step in the logical solution, so I believe you need every pair of 36s.
May 26, 2011 at 5:04 pm |
very interesting, first count, then it is clear, what is missing, and then the solution begins in the lower left corner. this is one of my top ten fillominos
thanks and regards from Germany
Jürgen
May 26, 2011 at 5:06 pm |
If variations count, hopefully there will be at least a couple more new entries into that list within a couple of weeks.
May 27, 2011 at 1:53 am |
Simply brilliant. Mellow Melon at his best!
Thanks for the fun!
TheSubro
May 28, 2011 at 8:32 pm |
Very nice. Brilliant and unique first step of realizing that a single 36 is impossible, then seeing that the givens add to 99 and placing many 36s from there.
February 15, 2014 at 5:58 am |
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