Archive for the ‘Loop/Path’ Category:

Balance Loop (Inequality) by Prasanna Seshadri

Balance Loop by Prasanna Seshadri

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: Twins in Rings

Author/Opus: This is the 231st puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: (Standard Balance Loop rules.) Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.

Also, number clues are not fully specified and must strictly follow the inequality values given.

See also this example:

Balance Loop (Inequality) Example by Serkan Yürekli

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 9:00, Master = 13:15, Expert = 26:30

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

Note: Follow this link for other Balance Loop puzzles. If you are new to this puzzle type, here are our easiest Balance Loop Puzzles to get started on. More Balance Loops can be found in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli and in Balance Loop by Prasanna Seshadri and Murat Can Tonta.

Tapa-Like Loop by JinHoo Ahn

Tapa-Like Loop by JinHoo Ahn

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 on edges)

Theme: Fun with 123

Author/Opus: This is the 43rd puzzle from our contributing puzzlemaster JinHoo Ahn.

Rules: Variation of Tapa: Form a single non-intersecting loop. Clues inside the grid represent the number of neighboring cells visited by the loop; if there is more than one number in a cell, each number should be represented with a separate loop segment. There is no 2×2 rule of Tapa in this puzzle.

See also this example:

Tapa-Like Loop Example by Serkan Yürekli

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 5:00, Master = 13:30, Expert = 27:00

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

Note: Follow this link for other Tapa-Like Loop puzzles. More Tapa-Like Loop puzzles can be found in the Tapa-Like Loop Collection by Prasanna Seshadri.

Tapa-Like Loop by Prasanna Seshadri

Tapa-Like Loop by Prasanna Seshadri

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 on edges)

Theme: Stretch

Author/Opus: This is the 230th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Variation of Tapa: Form a single non-intersecting loop. Clues inside the grid represent the number of neighboring cells visited by the loop; if there is more than one number in a cell, each number should be represented with a separate loop segment. There is no 2×2 rule of Tapa in this puzzle.

See also this example:

Tapa-Like Loop Example by Serkan Yürekli

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 4:45, Master = 7:00, Expert = 14:00

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

Note: Follow this link for other Tapa-Like Loop puzzles. More Tapa-Like Loop puzzles can be found in the Tapa-Like Loop Collection by Prasanna Seshadri.

Tapa-Like Loop (Transparent) by Takeya Saikachi

Tapa-Like Loop (Transparent) by Takeya Saikachi

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 on edges)

Theme: X

Author/Opus: This is the 13th puzzle from guest contributor Takeya Saikachi.

Rules: Variation of Tapa-Like Loop rules (Form a single non-intersecting loop. Clues inside the grid represent the number of neighboring cells visited by the loop; if there is more than one number in a cell, each number should be represented with a separate loop segment. There is no 2×2 rule of Tapa in this puzzle.). The loop can travel through clue cells. Each clue now describes the entire 3×3 area the clue cell is in the middle of.

See also this example:

Tapa-Like Loop (Transparent) Example by Serkan Yürekli

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 1:30, Master = 3:15, Expert = 6:30

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

Note: Follow this link for other Tapa-Like Loop puzzles. More Tapa-Like Loop puzzles can be found in the Tapa-Like Loop Collection by Prasanna Seshadri.

Tapa-Like Loop by Mark Sweep

Tapa-Like Loop by Mark Sweep

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 on edges)

Theme: Crossroad

Author/Opus: This is the 3rd puzzle from guest contributor Mark Sweep.

Rules: Variation of Tapa: Form a single non-intersecting loop. Clues inside the grid represent the number of neighboring cells visited by the loop; if there is more than one number in a cell, each number should be represented with a separate loop segment. There is no 2×2 rule of Tapa in this puzzle.

See also this example:

Tapa-Like Loop Example by Serkan Yürekli

Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 1:40, Master = 2:15, Expert = 4:30

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

Note: Follow this link for other Tapa-Like Loop puzzles. More Tapa-Like Loop puzzles can be found in the Tapa-Like Loop Collection by Prasanna Seshadri.

Tapa-Like Loop by Emin Erzurumluoğlu

Tapa-Like Loop by Emin Erzurumluoğlu

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 on edges)

Theme: Triangles

Author/Opus: This is the 1st puzzle from guest contributor Emin Erzurumluoğlu.

Rules: Variation of Tapa: Form a single non-intersecting loop. Clues inside the grid represent the number of neighboring cells visited by the loop; if there is more than one number in a cell, each number should be represented with a separate loop segment. There is no 2×2 rule of Tapa in this puzzle.

See also this example:

Tapa-Like Loop Example by Serkan Yürekli

Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 1:15, Master = 2:15, Expert = 4:30

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

Note: Follow this link for other Tapa-Like Loop puzzles. More Tapa-Like Loop puzzles can be found in the Tapa-Like Loop Collection by Prasanna Seshadri.

Tapa-Like Loop by Serkan Yürekli

Tapa-Like Loop by Serkan Yürekli

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 on edges)

Theme: 3.14

Author/Opus: This is the 363rd puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Tapa: Form a single non-intersecting loop. Clues inside the grid represent the number of neighboring cells visited by the loop; if there is more than one number in a cell, each number should be represented with a separate loop segment. There is no 2×2 rule of Tapa in this puzzle.

See also this example:

Tapa-Like Loop Example by Serkan Yürekli

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:37, Expert = 3:14

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

Note: Follow this link for other Tapa-Like Loop puzzles. More Tapa-Like Loop puzzles can be found in the Tapa-Like Loop Collection by Prasanna Seshadri.