Fillomino

Fillomino (Japanese:フィルオミノ) is a mystery, which is published by the Japanese magazine Nikoli.

Regulate

Fillomino is played on a rectangular grid of arbitrary size, the lines are drawn often dotted. Some squares are marked with numbers.

The aim of the game is to fill the rectangle with contiguous blocks ( polyominoes ). The size of these blocks is determined by the numbers; each number is in a block that contains exactly as many squares as this number indicates.

Two blocks of the same size may have no common border.

Unlike other Japanese number puzzles there is no one-to -one relationship between the blocks and the given numbers. A block can contain several identical numbers and it can occur in the gaps building blocks that carry no number. Then it must also be developed for these gaps, which fit regular cater for polyominoes. In the example on the right, for example, still had a two to be inserted.

Normally, the solution is uniquely determined by the given numbers.

Solution strategy

To solve Fillomino trying typically first to be determined for individual numbers their respective areas, which can then be gradually supplemented by the right solution.

Since Fillominos are often solved with pencil, it is often better not to set the blocks by colors or other markings, but the fact that you added more numbers so that each number is in a range of as many numbers.

A one is always in a block that consists only of that number. As two equal blocks may not be contiguous, so no further fuel can be in the vicinity thereof.

Often it is useful to compare the total number of fields in Fillomino with the sum of the given numbers as you can so get an idea of ​​how many numbers must be in the common areas.