I believe I have invented** a new type of puzzle...
What is its name?
Begin by solving the Fillomino puzzle:
Rules of Fillomino (adapted from Nikoli)
- Fill in all empty cells with numbers under the following rules.
- Numbers should be grouped together into 'blocks' of orthogonally connected cells in which each cell contains the same number.
- The total number of cells making up each 'block' equals the value they all share (e.g. a block of two 2's, three 3's, etc.).
- Different 'blocks' of the same size and value cannot border each other, horizontally or vertically (but may touch at a corner).
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! :)