Archive for the ‘Region Division’ Category:

Araf (Loop) by Takeya Saikachi

This is a free “warm-up” puzzle; Season 4 subscribers will see today’s main puzzle in the same style posted at 9:05 AM PT.

Araf (Loop) by Takeya Saikachi

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: V Formation

Author/Opus: This is the 49th puzzle from our contributing puzzlemaster Takeya Saikachi.

Rules: Draw a single, non-intersecting loop that passes through all cells, including clue cells; the loop may either go straight through or turn at each clue. The length of each loop segment connecting the two circles must be any value between the numbers given in those circles.

See also this example:

Araf (Loop) Example by Takeya Saikachi

Difficulty: 1.5 stars

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

Solution: PDF and solving animation.

Note: Follow this link for more Araf puzzles on this website. If you are new to this puzzle type, here are our easiest Araf Puzzles to get started on. More Araf puzzles can be found in the ebook Araf by Serkan Yürekli.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Week 3 Discussion post on the GMPuzzles Discord.

Araf (Singleton) by JinHoo Ahn

This is a free “warm-up” puzzle; Season 4 subscribers will see today’s main puzzle in the same style posted at 9:05 AM PT.

Araf 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 shading mode.)

Theme: Triplets

Author/Opus: This is the 120th puzzle from our contributing puzzlemaster JinHoo Ahn.

Rules: Variation of Araf rules. Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain either one or two given numbers. If a region contains only one number, the area of that region must be represented by that number. If a region contains two numbers, the area of the region is strictly between those numbers.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:30, Master = 1:00, Expert = 2:00

Solution: PDF and solving animation.

Note: Follow this link for more Araf puzzles on this website. If you are new to this puzzle type, here are our easiest Araf Puzzles to get started on. More Araf puzzles can be found in the ebook Araf by Serkan Yürekli.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Week 3 Discussion post on the GMPuzzles Discord.

Araf by Grant Fikes

This is a free “warm-up” puzzle; Season 4 subscribers will see today’s main puzzle in the same style posted at 9:05 AM PT.

Araf 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 shading mode.)

Theme: What Are the Odds?

Author/Opus: This is the 488th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Araf rules.

Difficulty: 1.5 stars

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

Solution: PDF and solving animation.

Note: Follow this link for more Araf puzzles on this website. If you are new to this puzzle type, here are our easiest Araf Puzzles to get started on. More Araf puzzles can be found in the ebook Araf by Serkan Yürekli.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Week 3 Discussion post on the GMPuzzles Discord.

Araf by Grant Fikes

This is a free “warm-up” puzzle; Season 4 subscribers will see today’s main puzzle in the same style posted at 9:05 AM PT.

Araf 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 shading mode.)

Theme: Cross

Author/Opus: This is the 487th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Araf rules.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:00, Expert = 2:00

Solution: PDF and solving animation.

Note: Follow this link for more Araf puzzles on this website. If you are new to this puzzle type, here are our easiest Araf Puzzles to get started on. More Araf puzzles can be found in the ebook Araf by Serkan Yürekli.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Week 3 Discussion post on the GMPuzzles Discord.

Fillomino (Star Battle) by Thomas Snyder

This is a free “warm-up” puzzle; Season 4 subscribers will see today’s main puzzle in the same style posted at 9:05 AM PT.

Fillomino (Star Battle) by Thomas Snyder

PDF

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

Theme: Block Party

Author/Opus: This is the 498th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Fillomino rules. Also, each row, column, and polyomino must contain exactly one star. Stars cannot be placed in adjacent cells that share an edge or corner.

See also this example:

Fillomino (Star Battle) Example by Thomas Snyder

Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 2:30, Expert = 5:00

Solution: PDF and solving animation.

Note: Follow this link for classic Fillomino and this link for Fillomino variations. Follow this link for other classic Star Battles and this link for Star Battle variations.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Week 1 Discussion post on the GMPuzzles Discord.

Fillomino (Non-consecutive) by Freddie Hand

Fillomino (Non-consecutive) by Freddie Hand

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.)

Author/Opus: This is the 16th puzzle from guest contributor Freddie Hand.

Rules: Variation of Fillomino rules. No two polyominoes with the same area, or with areas that differ by one, can share an edge.

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 3:45, Master = 6:30, Expert = 13:00

Solution: PDF and solving animation.

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 these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Fillomino (Non-consecutive) by Serkan Yürekli

Fillomino (Non-consecutive) 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 and a number entry mode.)

Theme: Edge Clues

Author/Opus: This is the 476th puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Fillomino rules. No two polyominoes with the same area, or with areas that differ by one, can share an edge.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 1:00, Master = 1:45, Expert = 3:30

Solution: PDF and solving animation.

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 these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Fillomino by Murat Can Tonta

With a total of 32 clues, all 1 to 6, this “dice” theme from Murat Can Tonta hides a few logical entry points in the regions created by the clues.

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: 32 Dice

Author/Opus: This is the 273rd puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Fillomino rules.

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 1:30, Master = 3:45, Expert = 7:30

Solution: PDF and solving animation.

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 these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Fillomino by Grant Fikes

In addition to forming a beautiful pattern, the U shapes hide a couple different starting points in this warm-up puzzle 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: 4U

Author/Opus: This is the 450th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Fillomino rules.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 0:55, Expert = 1:50

Solution: PDF and solving animation.

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 these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Bonus Subscription Teaser: Fillomino (Nonconsecutive, Sum) by Serkan Yürekli

Our second subscription season of GMPuzzles is into week 4 and currently available for purchase. This bonus puzzle from Serkan Yürekli is a teaser for some of the extra Sunday content that comes each week in the subscription, in this case the once a month Sunday Stumpers which rotate with new puzzle types, combination grids, and other special offerings.

Fillomino (Nonconsecutive, Sum) 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 and a number entry mode.)

Author/Opus: This is the 432nd puzzle from our managing editor Serkan Yürekli.

Rules: Standard Fillomino rules: Divide the grid along the dotted lines into regions called polyominoes so that no two polyominoes with the same area share an edge. Inside some cells are numbers; each number must represent the area of the polyomino it belongs to. A polyomino may contain zero, one, or more of the given numbers.

Variation rules: No two polyominoes with the same area, or with areas that differ by one, can share an edge. Also, 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.

Difficulty: 5 stars

Time Standards (highlight to view): Grandmaster = 15:00, Master = 40:00, Expert = 1:20:00

Solution: PDF; this bonus puzzle was also featured in this Cracking the Cryptic video.

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.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Season 2 Preview post on the GMPuzzles Discord. Not a member of the Discord? Click this link for basic access and check subscriber instructions for role-related access.