Fillomino Puzzles

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.

To play some fillomino puzzles online, try the hand-made puzzles here:

http://www.thepuzzleclub.com/fillomino.php

There are other fillomino online but so far I have only seen computer generated fillomino.  Unfortunately the examples I have seen are not really true fillomino in the sense that they tend to contain a high number of 1’s in the grid, and this appears to be to constrain the rule that you sometimes have to add regions yourself - I have never seen one of the generated puzzles that requires you to add regions which defeats most of the fun of the game and what makes fillomino so unique and different to other puzzles.  If anyone knows of other fillomino puzzles that require the use of this fascinating rule please post them in the comments.