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Monday Mutant 1: Polyominous (inequality)

Monday Mutants is a series in which I will attempt to experiment with "mutant" puzzles. These could be existing puzzle types with an unusual change in the rules, hybrids combining elements from multiple puzzle types, or puzzle types neither invented nor popularized by Nikoli.
In this Polyominous puzzle, there are no given numbers; instead, there are inequality signs in the grid. Each inequality sign must point from a larger polyomino to a smaller one. The rules are otherwise unchanged.

8 comments

tahnan said...

Whew! Very nice. Hit a bit of a snag on the left edge, thinking I was going to be forced to have two same-sized polyominoes adjoining, until I finally broke things up the right way.

Anonymous said...

So I've not really done many Fillomino puzzles before - I can't really make informed comment on the standard logic, but the > logic adds a subtle and intriguing twist as a powerful deductive tool.

Which is interesting because when I see any sort of number puzzles (well I'm mainly thinking sudoku here I guess) using > as a constraint I tend to fear the worst in terms of enjoyment an exception to this rule!

Tom.C

Anonymous said...

last paragraph should read:

...enjoyment of a puzzle. Thanks for providing an exception to this rule!

Tom.C

Grant Fikes said...

Thanks, Tahnan and Tom C. Honestly, I wasn't sure how well this puzzle would turn out, but I thought the variation was worth experimenting with, and I ended up really liking the result. (Palmer Mebane and Thomas Snyder, who got a preview of the puzzle, also liked it. :) )

Marcin Mucha said...

Very refreshing :)

TheSubro said...

Nice novel variation. Not sure it has legs though as forced answers require a lot of clues and every clue creates a wall.

Thanks for the nice variation. We will see if anyone else picks up on it.

Ken

Grant Fikes said...

TheSubro: Don't be surprised if some of the Monday Mutants are one-off variants that don't necessarily have the same staying power as the other types of puzzles presented here. They're meant as mere interesting novelties, something different from the other puzzles. :)

motris said...

Even as one-off novelties (as many of my puzzles admittedly are when I first start exploring them), its fun to realize ways to twist the logic normally encountered in a puzzle. What I liked in this one was the way you had to plan ahead a lot more for how available space would remain for particular groups (which let you determine their implicit sizes), and also how explicit constraints on unfilled cells made some white spaces deducibly unusable in ways white spaces in fillomino are never such constrained. Neither is really present in the regular Fillomino form, but both were really welcome additions to the normal thinking.

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