I believe I have invented** a new type of puzzle...
What is its name?
Begin by solving the Fillomino puzzle:
Rules of Fillomino (taken from Nikoli)
- Fill in all empty cells with numbers under the following rules.
- Divide all of the board into blocks. Fill each block with the same number horizontally or vertically.
- Each block contains as many cells as the number in the block.
- Same sized blocks cannot touch each other, horizontally or vertically.
Then apply some grid-deduction-deduction (!) and discover its name! Answers which explain the deduction process are appreciated even more - thanks!
** NB After creating this puzzle, I realised that @Reinier has created something with similar inspiration before, but I believe our two puzzles are sufficiently different... Try to resist peeking at their puzzle before solving this one! :)