PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Think Carefully about 24!

Author/Opus: This is the 53rd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Variation of Fillomino rules. Every given clue is lying. The correct value is either one more or one less than the given clue. (1 clues cannot become 0.)

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Start with the 3rd row, followed by a comma, followed by the 6th row.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 4:00, Expert = 8:00

Solution: PDF

Note: Follow this link for classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing, a number entry mode, and shading for this variation.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 21st puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Fillomino rules. Also, it must be possible to shade some polyominoes black so that no bordering polyominoes are the same color (in other words, the grid must allow a two-color shading). Also, see this example:

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 2nd row, followed by a comma, followed by the 7th column.

Time Standards (highlight to view): Grandmaster = 4:30, Master = 8:00, Expert = 16:00

Solution: PDF; a solution video is available here.

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 20th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Fillomino rules. Also, all “1” polyominoes should be treated like queens in chess; no two queens (“1s”) can see each other in any row, column, or diagonal as shown in this image.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 4th column, followed by a comma, followed by the 8th column.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 5:00, Expert = 10:00

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 100th puzzle from our contributing puzzlemaster Grant Fikes!

Rules: Standard Fillomino rules. Also, no polyominoes that differ by one in size can share an edge.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 3rd row, followed by a comma, followed by the 5th row.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 4:00, Expert = 8:00

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 35th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Standard Fillomino rules. Also, all polyominoes should have rotational symmetry as in this example:

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 1st row, followed by a comma, followed by the 3rd column.

Time Standards (highlight to view): Grandmaster = 2:15, Master = 3:15, Expert = 6:30

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

(view image directly for a larger form)

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing, a number entry mode, and shading for this variation.)

Theme: Symmetry and Logic

Rules: Variation of standard Fillomino rules. All polyominoes of same size besides 4 cannot touch. But all tetrominoes must be connected to form a valid LITS solution. All 4 clues have been replaced by tetromino letters.

Answer String: For each cell in the marked rows, enter the area of the polyomino it belongs to. For the tetrominoes, instead of numbers use capital letters (L, I, T, S) in the appropriate cells. Start with the 10th column, followed by a comma, followed by the 14th column.

Time Standards (highlight to view): Grandmaster = 12:30, Master = 18:00, Expert = 36:00

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing, a number entry mode, and shading for this variation.)

Theme: Visual and logical

Rules: Variation of standard Fillomino rules. All polyominoes of same size besides 4 cannot touch. But all tetrominoes — polyominoes of size 4 — must be connected as in a LITS puzzle. All “4” clues have been replaced by letters indicating which tetromino type they belong to.

Answer String: For each cell in the marked rows, enter the area of the polyomino it belongs to. For the tetrominoes, instead of numbers use capital letters (L, I, T, S) in the appropriate cells. Start with the 6th row, followed by a comma, followed by the 14th row.

Time Standards (highlight to view): Grandmaster = 7:00, Master = 10:30, Expert = 21:00

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Today’s surprise comes from Hans van Stippent, who sent several creative submissions in for The Art of Puzzles. For this book I’m mostly avoiding “variations”, but I found this puzzle to be a surprising twist perfect for this spot.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Diagonals

Rules: Variation of standard Fillomino rules. Some clues are not fully specified, and must simply follow the inequality value given in the cell.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Start with the 2nd row, followed by a comma, followed by the 8th row.

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

This is a “Franken-Friday” puzzle variation.

Theme: Mostly themeless, besides the variation itself

Rules: Variation of standard Fillomino rules. All polyominoes must be rectangles.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Start with the 6th column, followed by a comma, followed by the 9th column.

Time Standards (highlight to view): Grandmaster = 3:45, Master = 5:00, Expert = 10:00

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

This is a “Twisted Tuesday” puzzle variation.

Theme: Mostly themeless, besides the variation itself.

Rules: Variation of standard Fillomino rules. In addition to polyominoes of the same size not being allowed to touch, polyominoes that differ in size by one (for example, 3 and 4) also cannot touch.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Start with the 5th row, followed by a comma, followed by the 8th row.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 3:15, Expert = 6:30

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.