## Archive for the ‘Loop/Path’ Category:

### Sunday Special: Instructionless by Takeya Saikachi

Takeya Saikachi presents us with a new loop genre in which you need to discover the rules by solving the example first.

PDF

or solve online (using our beta test of Penpa-Edit tools in default linex mode where left-click+drag draws line and right click marks X’s)

Theme: Triplets

Author/Opus: This is the 40th puzzle from our contributing puzzlemaster Takeya Saikachi.

Rules: To solve the main puzzle, you must first discover the genre’s rules by solving the example puzzle.

Example: solve online

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 4:35, Master = 7:15, Expert = 14:30

Hints: 1. This is a loop puzzle style that involves visiting all cells, forming a single closed loop. But what do the number clues do?
2. When thinking the right way, each number clue will have two uses.
3. Looking at individual clues may not be enough.
4. Pair all the clues together (as passed through by the loop) and consider any special properties you find.
5. This puzzle draws inspiration from a region division puzzle with a four-letter name (rot13 = NENS) that also pairs clues together.

Solution: PDF and solving animation.

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.

### Masyu by Grant Fikes

This symmetric Masyu by Grant Fikes features some areas with sets of three adjacent circles. In Masyu, there cannot be three or more adjacent black circles due to the rules, but the same restriction is not true for white circles.

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Author/Opus: This is the 449th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Masyu rules.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:30, Master = 0:45, Expert = 1:30

Solution: PDF and solving animation.

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

### Masyu by Grant Fikes

The Season 3 preview week starts with this “warm-up” Masyu puzzle by Grant Fikes with a Singles theme. The warm-up puzzles have blue stars at the top and use the same 1-5 star system as other puzzles on the site. Most warm-up puzzles will be 1 star with a couple 1.5 star examples here and there.

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Theme: Singles

Author/Opus: This is the 448th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Masyu rules.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:25, Master = 0:35, Expert = 1:10

Solution: PDF and solving animation.

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

Grant Fikes created his Numberlink art with a lyre, just like ancient people did.

(view directly for a larger image)

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Theme: Lyre

Author/Opus: This is the 425th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Connect each pair of identical numbers with a path passing through edge-adjacent cells. No cell may be used on more than one path.

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 1:15, Master = 3:40, Expert = 7:20

Solution: PDF and solving animation.

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

Serkan Yürekli constructed a gate whose walls reach out to both opposite corners.

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Theme: Gate

Author/Opus: This is the 421st puzzle from our managing editor Serkan Yürekli.

Rules: Connect each pair of identical numbers with a path passing through edge-adjacent cells. No cell may be used on more than one path.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:20, Master = 0:30, Expert = 1:00

Solution: PDF and solving animation.

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

### WPC Loop/Path Mini-Playoff 3/3: Cross Border Parity Loop by Craig Kasper

The last Loop/Path puzzle is one of the “new” styles that debuted in the Breadth of America loop variety round, a Cross Border Parity Loop by Craig Kasper. (We expect this puzzle to be much harder for those who didn’t solve the three competition puzzles that preceded it.)

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s; use tab to alternate to a shading mode to mark the loop states)

Author/Opus: This is the 9th puzzle from guest contributor Craig Kasper.

Rules: Draw a single, non-intersecting loop that has two states, which are white and black. The puzzle grid has heavily shaded borders, which define areas in the grid. Whenever the loop crosses a border (including borders inside an area), it changes state from white to black or from black to white. A black circled clue provides the number of cells in each area that the loop traverses in the black state, and a white circled clue provides the number of cells in each area that the loop traverses in the white state. Each “?” represents an unknown integer, zero or larger.

Estimated Difficulty: 2.5-3 stars

Solution: PDF for all Loop/Path playoff puzzles.

### WPC Loop/Path Mini-Playoff 2/3: Slitherlink by Serkan Yürekli

The next Loop/Path puzzle, reflecting an unusual grid geometry round, is this “Trophy” Slitherlink by Serkan Yürekli. Can you figure out how all the unusual parts of the grid will mark the 30th World Puzzle Championship.

PDF

Author/Opus: This is the 415th puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Slitherlink rules. Draw a single, non-intersecting loop on an irregular grid that can only follow the lines between the dots. Numbers inside a cell indicate how many of the edges of that cell are part of the loop.

Estimated Difficulty: 2 stars

Solution: PDF for all Loop/Path playoff puzzles.

Note: Follow this link for other classic Slitherlink. If you are new to this puzzle type, here are our easiest Slitherlink puzzles to get started on. More Slitherlink puzzles can be found in our books The Art of Puzzles and Slitherlink and Variations.

### WPC Loop/Path Mini-Playoff 1/3: Castle Wall by David Altizio

The 30th World Puzzle Championship had five “mini-playoffs” to determine the top solvers in five different genres. Today we’ll be releasing the Loop/Path puzzles starting with this Castle Wall puzzle by David Altizio with a theme involving many ascending series.

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Author/Opus: This is the 16th puzzle from guest contributor David Altizio.

Rules: Standard Castle Wall rules.

Estimated Difficulty: 2-2.5 stars

Solution: PDF for all Loop/Path playoff puzzles.

Note: Follow this link for more Castle Wall puzzles. If you are new to this puzzle type, here are our easiest Castle Wall puzzles to get started on. More Castle Wall puzzles can be found in these books in our e-store.

### Round Trip by Ashish Kumar

PDF

or solve online (using our beta test of Penpa-Edit tools; in default linex mode: left-click+drag draws line, right click marks X on edge)

Theme: Odd vs. Even

Author/Opus: This is the 103rd puzzle from our contributing puzzlemaster Ashish Kumar.

Rules: Draw a single loop in the grid which may cross itself orthogonally, but otherwise does not touch or retrace itself. The clue numbers to the left/right of the rows indicate the number of squares visited by the nearest section of the loop that travels horizontally in the rows. The clue numbers to the top/bottom of the columns indicate the number of squares visited by the nearest section of the loop that travels vertically in the columns.

Also, see this example:

Difficulty: 2 stars

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

Solution: PDF and solving video.

Note: Follow this link for other Round Trip puzzles. Some more Round Trip puzzles can be found in the book Loop Variety Collection by Ashish Kumar and Murat Can Tonta.

### Sunday Stumper: Castle Wall by Stefan Liew

Since 2021, we have posted some extra difficult Sunday Stumpers, about once a month. These will be quite tough puzzles, but with a logical path to be found (and solution videos to help). This thirteenth Sunday Stumper of 2022 is an unusual Castle Wall puzzle by Stefan Liew where all the clues are on the “Outside”.

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Theme: Outside

Author/Opus: This is the 3rd puzzle from guest contributor Stefan Liew.

Rules: Standard Castle Wall rules.

Difficulty: 5 stars

Time Standards (highlight to view): Grandmaster = 11:00, Master = 22:30, Expert = 45:00

Solution: PDF and solving video.

Note: Follow this link for more Castle Wall puzzles. If you are new to this puzzle type, here are our easiest Castle Wall puzzles to get started on. More Castle Wall puzzles can be found in our beginner-friendly collection Intro to GMPuzzles as well as the larger collection Castle Wall, both by Serkan Yürekli.