## Archive for the ‘Fillomino-fillia Preview’ Category

### Puzzle 325 (Fillomino) [Star]

June 3, 2011

This is a Star Fillomino puzzle. Not all of the cells will be contained in polyominoes; the remaining cells will contain stars. Every row and every column must contain two stars, and no two stars may be in cells which share a corner or an edge.

Puzzle 325

(Click for larger size)

Part 4 of 4 in the Fillomino-fillia preview series. See mathgrant’s blog for the other half.

Answer Entry: Enter the units digits of each square in the marked rows and columns, from left to right for rows and from top to bottom for columns. For a cell with a star, write S.

Highlight to see answer: S4144332S3, 51255S1S32

Of all the puzzles in consideration for inclusion on the test or in this preview series, this is the only one without rotational symmetry (inequality signs in Greater-Than not included). I confess it was originally an accident, but even after I noticed it the idea of one of the stars being upside down didn’t seem to work aesthetically. It comes down to the fact that the star icons themselves don’t have 180 degree rotational symmetry.

### Puzzle 324 (Fillomino) [Sum]

June 2, 2011

This is a Sum Fillomino puzzle. The grid contains some cages. The number at the top left of each cage gives the sum of all numbers that appear inside of it. Numbers may be repeated in cages.

Puzzle 324

(Click for larger size)

Part 3 of 4 in the Fillomino-fillia preview series. See mathgrant’s blog for the other half.

Answer Entry: Enter the units digits of each square in the marked rows and columns, from left to right for rows and from top to bottom for columns.

Highlight to see answer: 1712312154, 2338442919

I made this puzzle partially to poke fun at motris, actually. We all know he loves it when nikoli.com releases a puzzle like this one, no matter how vehemently he denies it.

### Puzzle 323 (Fillomino) [Greater-Than]

June 1, 2011

This is a Greater-Than Fillomino puzzle. The grid will contain inequality signs. Each sign must point from a larger polyomino to a smaller one.

Puzzle 323

(Click for larger size)

Part 2 of 4 in the Fillomino-fillia preview series. See mathgrant’s blog for the other half.

Answer Entry: Enter the units digits of each square in the marked rows and columns, from left to right for rows and from top to bottom for columns.

Highlight to see answer: 4446371323, 6777752217

### Puzzle 322 (Fillomino) [Shape]

May 31, 2011

This is a Shape Fillomino puzzle. The shapes shown beside the puzzle must appear as polyominoes in the grid. Shapes may be rotated, but not reflected.

Puzzle 322

(Click for larger size)

Part 1 of 4 in the Fillomino-fillia preview series. See mathgrant’s blog for the other half.

Answer Entry: Enter the units digits of each square in the marked rows and columns, from left to right for rows and from top to bottom for columns.

Highlight to see answer: 8893393399, 4884451226