Archive for the ‘Region Division’ Category:

Cave by Prasanna Seshadri

Cave by Prasanna Seshadri

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: X-Cavation

Author/Opus: This is the 32nd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Cave rules.

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

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

Solution: PDF

Note: Follow this link for other classic Caves. If you are new to this puzzle type, here are our easiest Cave Puzzles to get started on.

Light and Shadow by Serkan Yürekli

Light and Shadow by Serkan Yürekli

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 50th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the grid into gray and white regions, each containing exactly one number and with an area equal to that number. Numbers in white cells are part of white regions; numbers in gray cells are part of gray regions. Same colored regions cannot share an edge.

This example image should help:

Light and Shadow Example by Serkan Yürekli

Answer String: Enter the length in cells of each group (white and gray) in the marked rows. Separate the rows with a comma. For the Example, this is “13,121”.

Time Standards (highlight to view): Grandmaster = 3:15, Master = 6:30, Expert = 13:00

Solution: PDF

Light and Shadow by Serkan Yürekli

Light and Shadow by Serkan Yürekli

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 49th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the grid into gray and white regions, each containing exactly one number and with an area equal to that number. Numbers in white cells are part of white regions; numbers in gray cells are part of gray regions. Same colored regions cannot share an edge.

This example image should help:

Light and Shadow Example by Serkan Yürekli

Answer String: Enter the length in cells of each group (white and gray) in the marked rows. Separate the rows with a comma. For the Example, this is “13,121”.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 4:15, Expert = 8:30

Solution: PDF

Light and Shadow by Serkan Yürekli

Light and Shadow by Serkan Yürekli

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 48th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the grid into gray and white regions, each containing exactly one number and with an area equal to that number. Numbers in white cells are part of white regions; numbers in gray cells are part of gray regions. Same colored regions cannot share an edge.

This example image should help:

Light and Shadow Example by Serkan Yürekli

Answer String: Enter the length in cells of each group (white and gray) in the marked rows. Separate the rows with a comma. For the Example, this is “13,121”.

Time Standards (highlight to view): Grandmaster = 2:15, Master = 4:00, Expert = 8:00

Solution: PDF

Fillomino by Thomas Snyder

Fillomino 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 and a number entry mode.)

Theme: Logical

Author/Opus: This is the 178th puzzle from Thomas Snyder aka Dr. Sudoku.

Rules: Standard Fillomino rules.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter both digits of any two-digit values. Start with the 5th row, followed by a comma, followed by the 5th column.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 4:00, Expert = 8:00

Solution: PDF

Note: Follow this link for other classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Fillomino by Walker Anderson

Fillomino by Walker Anderson

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: Clue Symmetry and Logic

Author/Opus: This is the 1st puzzle from guest contributor Walker Anderson. You can find more of Walker’s puzzles on his relatively new blog site.

Rules: Standard Fillomino rules.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 2nd row, followed by a comma, followed by the 9th row.

Time Standards (highlight to view): Grandmaster = 1:15, Master = 2:00, Expert = 4:00

Solution: PDF

Note: Follow this link for other classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Araf (Different Neighbors) by Serkan Yürekli

Araf 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 shading mode.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 47th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Standard Araf rules. Also, no two regions with the same size can share an edge. (Note: this is the same rule as in Fillomino puzzles where no equal size polyominoes can touch.)

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows.

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

Solution: PDF

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf. An example image for a “classic” Araf puzzle is here.

Araf by Prasanna Seshadri

Araf by Prasanna Seshadri

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: Four Y Intersections

Author/Opus: This is the 24th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain exactly two given numbers. Each region must have an area that is strictly between those numbers (This means, for two number clues A and B with A < B, the area C fulfills A < C < B).

Araf Example

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. For the example above, this is “34,121111,4111”.

Time Standards (highlight to view): Grandmaster = 3:15, Master = 5:00, Expert = 10:00

Solution: PDF; a solution video is available here.

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf.

Araf by Serkan Yürekli

Araf 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 shading mode.)

Theme: Fource Field

Author/Opus: This is the 46th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain exactly two given numbers. Each region must have an area that is strictly between those numbers (This means, for two number clues A and B with A < B, the area C fulfills A < C < B).

Araf Example

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. For the example above, this is “34,121111,4111”.

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

Solution: PDF; a solution video is available here.

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf.

Araf (Inequality) by Prasanna Seshadri

Araf by Prasanna Seshadri

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: Clue Symmetry and Logic

Author/Opus: This is the 23rd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain exactly two given numbers, one in a yellow circle (>) and one in a red circle (<). Each region must have an area that is strictly between those numbers. Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. Separate the rows with a comma.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 4:45, Expert = 9:30

Solution: PDF

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf. An example image for a “classic” Araf puzzle is here.