I love making slitherlinks with non-grid tilings. If you are familiar with grid based slitherlinks (which I also offer), you'll love
the way these different tilings change the rules and patterns needed to solve the puzzles.
Here are hundreds of free Variety Slitherlink puzzles suitable for printing.
Variety Slitherlinks (6 different tilings per book)
Cairo Pentagon Slitherlinks
Snub Square Slitherlinks
NEW: Rhomboid Slitherlinks
Rhombille Slitherlinks (1,6 intersections)
Rhombille Slitherlinks (1,4,5 intersections)
Thanks to Craig Kaplan for helping out while I was working on these puzzles.