On its online puzzle site nikoli.com, the Japanese company Nikoli recently asked its authors to create different Slitherlink puzzles all using the same arrangement of givens. I've decided to try a similar experiment here, using the puzzle Polyominous (link to rules, Polyominous puzzles from my blog). Here is the layout:
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Your challenge is to replace each of the question marks with an integer to create a uniquely solvable Polyominous puzzle. Send your puzzle (and optionally, its solution) to my e-mail address at glmathgrant@gmail.com. After two weeks (meaning the deadline is October 2), I will post the puzzle I have constructed for this layout, as well as some of my favorite submissions from other people.
I hope to try this kind of experiment again in the future if the response is good enough. Have fun! :)