Araf by Serkan Yürekli

Araf by Serkan Yürekli

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PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Infinity!

Author/Opus: This is the 51st 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. If a group is a multi-digit number, enter all digits of that number. For the example above, the entry is “34,121111,4111”.

Time Standards (highlight to view): Grandmaster = 8:00, Master = 15:00, Expert = 30:00

Solution: PDF

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

Araf (Different Neighbors) by Bram de Laat

Araf by Bram de Laat

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 5th puzzle from guest contributing Bram de Laat.

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 = 5:00, Master = 10:00, Expert = 20:00

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 Bram de Laat

Araf by Bram de Laat

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 4th puzzle from guest contributor Bram de Laat.

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 = 4:40, Master = 6:00, Expert = 12:00

Solution: PDF

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

Araf (Different Neighbors) by Serkan Yürekli

Araf by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

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 with a composite mode for line/edge drawing.)

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 with a composite mode for line/edge drawing.)

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 with a composite mode for line/edge drawing.)

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.

Araf (Inequality) by Dan Katz

Araf by Dan Katz

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 1st puzzle from guest contributor Dan Katz.

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. Note: This idea to "simplify" Araf puzzles comes from Prasanna Seshadri, whose example of this variation will appear tomorrow. 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 = 1:20, Master = 3:00, Expert = 6:00

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 Thomas Snyder

Araf by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Aisles

Author/Opus: This is the 177th puzzle from Thomas Snyder, aka Dr. Sudoku.

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 = 0:45, Master = 1:15, Expert = 2:30

Solution: PDF

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 with a composite mode for line/edge drawing.)

Theme: Clue Symmetry

Author/Opus: This is the 27th 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 = 4:00, Master = 6:15, Expert = 12:30

Solution: PDF