Unwrapping a new variation: Wraparound Fillimino
Wraparound Fillimino
This is a variation of the popular Nikoli puzzle Fillimino. The rules are the same except the horizontal and vertical edges of the puzzle wraparound so "islands" may wraparound to the other side(s). Corners of the puzzle wraparound both vertically and horizontally. (If you were to represent the shape mathematically, it would be a torus [or donut in layman's terms]. )
When determining the islands, one must keep in mind this wraparound to successfully solve the puzzle.
The sample puzzle below should illustrate how this variant works.
Sample Puzzle ("5x5", Easy) and the answer:
Please note the broken borders at the vertical edges. Column 1 for instance has an island of 3 which wraps around from top to bottom. Also, in this sample, some (but not all) of the islands (that touch the borders of the puzzle) wrap around.
___________________________________________________________
On to the puzzles:
___________________________________________________________
Puzzle 1 (7x7, Easy): (Answer)
___________________________________________________________________
Puzzle 2 (10x10, Medium): (Answer)
___________________________________________________________________
Puzzle 3 (13x13, Medium): (Answer)
___________________________________________________________________