Archive for the ‘Other Loop/Path’ Category:

SSS (Sundoko Snake Shape) by Yuki Kawabe

SSS by Yuki Kawabe

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PDF

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

Theme: Logical

Author/Opus: This is the 3rd puzzle from guest contributor Yuki Kawabe.

Rules: Combination of Sundoko, Snake, and Shape puzzle styles.

Sundoko: Shade some cells to make sunglasses, consisting of a bridge (a given line, in red) and two lenses made out of orthogonally connected cells that are symmetric with respect to the perpendicular bisector of the bridge. Two lenses may not share an edge, but can intersect at a point. Cells with the bridges are not shaded, except at the bridge ends. Numbers in the grid are unshaded, and indicate the total count of unshaded cells connected vertically and horizontally to the numbered cell, including the cell itself.
Sundoko example:

Sundoko Example

Snake: Shade some cells to create a one-cell wide snake in the grid that does not cross or touch itself, not even diagonally. The snake starts and ends at the black circles and must pass through all white circles.
Snake example:

Snake Example

Shape: Place each of the given shapes into the grid exactly once (rotations and reflections allowed). Shapes cannot touch each other, not even diagonally.
Shape example:

Shape Example

SSS: In SSS, shade some cells to make sunglasses, create a single snake, and place all of the shapes in the grid. Shaded cells of different categories (sunglasses, snake, shapes) cannot share an edge. Number clues referring to unshaded cell counts consider all three categories of objects as shaded cells in this hybrid.

Or see this example:

SSS Example

Answer String: Enter the length in cells of each of the shaded segments (sunglasses, snake, and shapes) from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma.

Time Standards (highlight to view): Grandmaster = 16:00, Master = 22:00, Expert = 44:00

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

Transporter by Gomatamago

Transporter by Gomatamago

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: Clue Symmetry and Logic

Author/Opus: This is the 2nd puzzle from guest contributor Gomatamago.

Rules: Draw a route that starts at the gray Start circle (S) and passes through adjacent cells without crossing itself or revisiting any cells. Some cells may not be part of the route. White circles with letters represent packages that are to be picked up and delivered to the black circles marked with the same letter. The carrier has a maximum capacity of packages that can be handled at once, shown below the grid. The carrier must pick up and deliver all packages on the route, returning to S with no packages in hand.

Also see this example:

Transporter Example by Thomas Snyder

Answer String: Enter the number of turns in each row, starting at the top and proceeding to the bottom. This example has the answer “224244”.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 12:00, Expert = 24:00

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

Note: Follow this link for other Loop/Path puzzles.

SSS (Sundoko Snake Shape) by Yuki Kawabe

SSS by Yuki Kawabe

PDF

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

Theme: Logical

Author/Opus: This is the 2nd puzzle from guest contributor Yuki Kawabe.

Rules: Combination of Sundoko, Snake, and Shape puzzle styles.

Sundoko: Shade some cells to make sunglasses, consisting of a bridge (a given line, in red) and two lenses made out of orthogonally connected cells that are symmetric with respect to the perpendicular bisector of the bridge. Two lenses may not share an edge, but can intersect at a point. Cells with the bridges are not shaded, except at the bridge ends. Numbers in the grid are unshaded, and indicate the total count of unshaded cells connected vertically and horizontally to the numbered cell, including the cell itself.
Sundoko example:

Sundoko Example

Snake: Shade some cells to create a one-cell wide snake in the grid that does not cross or touch itself, not even diagonally. The snake starts and ends at the black circles and must pass through all white circles.
Snake example:

Snake Example

Shape: Place each of the given shapes into the grid exactly once (rotations and reflections allowed). Shapes cannot touch each other, not even diagonally.
Shape example:

Shape Example

SSS: In SSS, shade some cells to make sunglasses, create a single snake, and place all of the shapes in the grid. Shaded cells of different categories (sunglasses, snake, shapes) cannot share an edge. Number clues referring to unshaded cell counts consider all three categories of objects as shaded cells in this hybrid.

Or see this example:

SSS Example

Answer String: Enter the length in cells of each of the shaded segments (sunglasses, snake, and shapes) from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma.

Time Standards (highlight to view): Grandmaster = 3:45, Master = 5:15, Expert = 10:30

Solution: PDF

Transporter by Takeya Saikachi

Transporter 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)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 3rd puzzle from guest contributor Takeya Saikachi.

Rules: Draw a route that starts at the gray Start circle (S) and passes through adjacent cells without crossing itself or revisiting any cells. Some cells may not be part of the route. White circles with letters represent packages that are to be picked up and delivered to the black circles marked with the same letter. The carrier has a maximum capacity of packages that can be handled at once, shown below the grid. The carrier must pick up and deliver all packages on the route, returning to S with no packages in hand.

Also see this example:

Transporter Example by Thomas Snyder

Answer String: Enter the number of turns in each row, starting at the top and proceeding to the bottom. This example has the answer “224244”.

Time Standards (highlight to view): Grandmaster = 0:40, Master = 1:00, Expert = 2:00

Solution: PDF

Note: Follow this link for other Loop/Path puzzles.

Nurikabe Loop by Murat Can Tonta

Nurikabe by Murat Can Tonta

PDF

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

Theme: Primes

Author/Opus: This is the 125th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: In this variation of Nurikabe, the no 2×2 ocean rule is removed and instead all ocean cells must belong to a single closed loop.

Specifically: Divide the grid into regions called “islands”, each containing exactly one of the given numbers and with the same area as that number. Islands can only touch diagonally. A single closed loop (without intersection or crossings) must be drawn in all remaining cells.

Nurikabe Loop by Serkan Yürekli

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “12,3”.

Time Standards (highlight to view): Grandmaster = 5:30, Master = 10:15, Expert = 20:30

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

Note: Follow this link for classic Nurikabe puzzles on this website and this link for other variations on Nurikabe puzzles. If you are new to this puzzle type, here are our easiest Nurikabe puzzles to get started on. More Nurikabe puzzles can be in The Art of Puzzles, in our beginner-friendly book Logic Puzzles 101, and in the e-book Nurikabe by Ashish Kumar.

Numberlink by Murat Can Tonta

Numberlink by Murat Can Tonta

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: Clue Symmetry and Logic

Author/Opus: This is the 106th puzzle from our contributing puzzlemaster Murat Can Tonta.

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.

Answer String: Enter the length in cells of the horizontal line segments from left to right in the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 0:25, Master = 0:45, Expert = 1:30

Solution: PDF

Note: Follow this link for other Loop/Path puzzles.

Statue Park (Loop) by Serkan Yürekli

Statue Park (Loop) by Serkan Yürekli

(view directly for a larger image)

PDF

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

Theme: Utopic

Author/Opus: This is the 205th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Variation of Statue Park and loop puzzle rules (using a standard pentomino set).

Place each of the twelve pentominoes into the grid once, with rotations and reflections allowed. No two pentominoes can overlap or be orthogonally adjacent, and all cells not occupied by the pentominoes must be traversed by a single, closed loop (connecting cells horizontally or vertically). The black circles indicate some cells that must be covered by pentominoes, white circles indicate spaces that may not be contained in pentominoes and must be part of the loop.

Also see this example:

Statue Park (Loop) by Serkan Yürekli

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 7:30, Master = 11:30, Expert = 23:00

Solution: PDF

Note: Follow this link for other Statue Park Puzzles. If you are new to this puzzle type, here are our easiest Statue Parks to get started on. More Statue Park puzzles can be found in the ebook Statue Park by Murat Can Tonta.

Numberlink by Thomas Snyder

Numberlink by Thomas Snyder

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: Clue Symmetry and Logic (for TheSubro)

Author/Opus: This is the 290th puzzle from Thomas Snyder, aka Dr. Sudoku.

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.

Answer String: Enter the length in cells of the horizontal line segments from left to right in the marked rows, starting at the top. Separate each row’s entry with a comma.

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

Solution: PDF

Note: Follow this link for other Loop/Path puzzles.

Country Road by Grant Fikes

Country Road by Grant Fikes

PDF

or solve online (using our beta test of Penpa-Edit tools in lineox mode where left click+drag draws lines and left click in square marks O and X.)

Theme: Clue Symmetry & Logic (for TheSubro)

Author/Opus: This is the 239th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Draw a single non-intersecting loop in the grid that enters and exits each bold region exactly once. If a number clue is given in a region, that number indicates the exact number of cells used by the loop in the region. Unused cells cannot be orthogonally adjacent across different regions.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

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

Solution: PDF

Note: Follow this link for other less common Loop variations.

Numberlink by Thomas Snyder

Numberlink by Thomas Snyder

(View image directly for larger form.)

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: Clue Symmetry & Logic (prepared for the 2017 Puzzle Grand Prix)

Author/Opus: This is the 274th puzzle from Thomas Snyder, aka Dr. Sudoku.

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.

Answer String: Enter the length in cells of the horizontal line segments from left to right in the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 3:30, Expert = 7:00 (*Estimates from competition scoring, not our usual process)

Solution: PDF

Note: Follow this link for other Loop/Path puzzles.