To Gemini6Ice’s request, here’s an idea for a variation on a slitherlink: Do not allow “sharp” turns in the closed path i.e., no turns greater than 90 degrees.

This restriction will give extra “information” to the solver, and it might mean that there will be fewer numbers needed in the puzzle, however, since the path won’t bend so sharply, there won’t be any 3’s…which, along with 0’s, give great places to start solving.

BTW, I don’t think I came up with this variant. I seem to recall seeing such a puzzle (on hexagons perhaps) years ago, though I can’t remember where.

Now, can you find some way to hybridize slitherlink with another puzzle type?