Fillomino is a rarely seen Japanese puzzle variant. The grid contains a range of numbers that indicate groups of cells that must be adjacent to each other. For instance a ‘3′ means there are 3 cells that form a group together, such that you can move from one cell to any other by moving just horizotally or vertically from one member to another.
Groups of the same number cannot touch either horizontally or vertically (otherwise they would not be groups of that number if you think about it), but the most interesting rule is that you often have to add new groups and work out the number(s) in these. For instance you might have to quite often add groups of size 1 - 4, but on occasion you need to go larger and sometimes surprisingly high numbers are forced uniquely through the constraint that groups containing the same number cannot touch.
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