Archive for the ‘Region Division’ Category:

Tetrominous (Hex) by Joseph Howard

Tetrominous (Hex) by Joseph Howard

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 letter entry mode.)

Theme: Cyclops

Author/Opus: This is the 24th puzzle from guest contributor Joseph Howard.

Rules: Divide the grid into tetrahexes (four-cell regions) so that no two tetrahexes of the same shape (including rotations/reflections) share an edge. A cell with a letter in it must be part of the tetrahex shape normally associated with that letter. An inventory of tetrahexes is given below the puzzle but not all shapes must be used.

Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:30, Expert = 5:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for other Pentominous puzzles. If you are new to this puzzle type, here are our easiest Pentominous to get started on. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Fillomino (Checkered) by Serkan Yürekli

Fillomino by Serkan Yürekli

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: Siege

Author/Opus: This is the 327th puzzle from our managing editor Serkan Yürekli.

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).

See also this example:

Fillomino (Checkered) example by Thomas Snyder

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 4:30, Master = 10:30, Expert = 21:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

Fillomino by Michael Tang

Fillomino by Michael Tang

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: Interlocking Rings

Author/Opus: This is the 6th puzzle from guest contributor Michael Tang.

Rules: Standard Fillomino rules.

Difficulty: 3 stars

Time Standards (highlight to view): Grandmaster = 2:45, Master = 5:00, Expert = 10:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

Fillomino (Restriction) by Takeya Saikachi

Fillomino by Takeya Saikachi

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: Surrounded

Author/Opus: This is the 5th puzzle from guest contributor Takeya Saikachi.

Rules: Variation of Fillomino. The size of all polyominoes must be 1, 2, or 3.

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 2:30, Master = 3:45, Expert = 7:30

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

(Bonus Birthday) Fillomino by Grant Fikes

(Note: This bonus puzzle is being posted today to mark the occasion of Grant’s 34th birthday.)

Fillomino by Grant Fikes

(view directly for a larger image)

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: 34th Birthday Magic

Author/Opus: This is the 345th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Fillomino rules.

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 6:00, Master = 9:00, Expert = 18:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

Fillomino by Murat Can Tonta

Fillomino by Murat Can Tonta

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: 28 Dice

Author/Opus: This is the 200th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Fillomino rules.

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 2:00, Master = 3:45, Expert = 7:30

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

Fillomino by John Bulten

Fillomino by John Bulten

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: Small Graces

Author/Opus: This is the 80th puzzle from our contributing puzzlemaster John Bulten.

Rules: Standard Fillomino rules.

Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:45, Expert = 5:30

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

Fillomino by Grant Fikes

Fillomino by Grant Fikes

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: Border Boxes

Author/Opus: This is the 344th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Fillomino rules.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 1:10, Master = 1:30, Expert = 3:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly books Logic Puzzles 101 and Starter Pack 1: Fillomino.

Pentominous (Borders) by Mark Sweep

Pentominous by Mark Sweep

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 letter entry mode.)

Theme: Hilarious

Author/Opus: This is the 1st puzzle from guest contributor Mark Sweep.

Rules: Variation of Pentominous rules. Some borders between pentominoes are already drawn.

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 3:45, Master = 9:00, Expert = 18:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for other Pentominous puzzles. If you are new to this puzzle type, here are our easiest Pentominous to get started on. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Pentominous by JinHoo Ahn

Pentominous by JinHoo Ahn

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 letter entry mode.)

Theme: WXY

Author/Opus: This is the 21st puzzle from our contributing puzzlemaster JinHoo Ahn.

Rules: Standard Pentominous rules.

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 4:00, Master = 8:30, Expert = 17:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for other Pentominous puzzles. If you are new to this puzzle type, here are our easiest Pentominous to get started on. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.