Archive for the ‘Region Division’ Category:

Spiral Galaxies by Thomas Snyder

Spiral Galaxies 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 shading mode.)

Theme: Happy Face

Author/Opus: This is the 280th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Spiral Galaxies rules.

[Copying the rules here as this is the first week: Divide the grid along the indicated lines into connected regions – “galaxies” – with rotational symmetry. Each cell must belong to one galaxy, and each galaxy must have exactly one circle at its center of rotational symmetry.]

Spiral Galaxies Example by Thomas Snyder

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. Separate each row’s entry from the next with a comma. The example has the answer “2131,331”.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:00, Expert = 4:00

Solution: PDF

Note: Follow this link for classic Spiral Galaxies puzzles on this website and this link for variations on Spiral Galaxies puzzles. If you are new to this puzzle type, here are our easiest Spiral Galaxies Puzzles to get started on. More Spiral Galaxies puzzles will soon be found in The Art of Puzzles 2.

Snake Pit X by Takeya Saikachi

Snake Pit by Takeya Saikachi

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 & Logic

Author/Opus: This is the 1st puzzle from guest contributor Takeya Saikachi.

Rules: Divide the grid along the boundary lines so that every cell belongs to a snake. A snake is a one-cell-wide path at least two cells long that does not touch itself, not even diagonally. Circled cells must be at one of the ends of a snake. A snake may contain one circled cell, two circled cells, or no circled cells at all. Numbered cells must be part of a snake with a length of exactly that number of cells. A snake may contain one number, multiple identical numbers, or no numbers at all. Two snakes of the same length cannot touch each other horizontally or vertically. [+ new rule] Cells with an X cannot be an end of a snake.

Also see this example:

Snake Pit

Answer String: For each cell in the marked rows/columns, enter the length of the snake it belongs to. Enter just the last digit for any two-digit number. This example has the key “33553,44664”.

Time Standards (highlight to view): Grandmaster = 5:00, Master = 10:30, Expert = 21:00

Solution: PDF

Note: Follow these link for other Fillomino or Snake puzzles.

Araf by Joseph Howard

Araf by Joseph Howard

PDF

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

Theme: Clue Symmetry & Logic

Author/Opus: This is the 1st puzzle from guest contributor Joseph Howard.

Rules: Standard Araf rules.

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

Time Standards (highlight to view): Grandmaster = 3:45, Master = 6:15, Expert = 12:30

Solution: PDF

Note: Follow this link for more Araf puzzles on this website. If you are new to this puzzle type, here are our easiest Araf Puzzles to get started on.

Cave by Thomas Snyder

Cave by Thomas Snyder

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

Author/Opus: This is the 279th puzzle from Thomas Snyder, aka Dr. Sudoku.

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 = 6:00, Master = 18:00, Expert = 36:00 (*Estimates from competition scoring, not our usual process)

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. More Cave puzzles can be found in The Art of Puzzles and in Roger Barkan’s Colossal Cave Collection.

Fillomino by Grant Fikes

We celebrate Grant’s 30th birthday with this giant Fillomino puzzle.

Fillomino by Grant Fikes

(View image directly for larger form.)

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. Note that the default puzzle info is too long — even for an url shortener — so copy and paste all the text in this file into the “Load” option in the upper-right of the penpa-edit interface to access.)

Theme: Happy 30th Birthday

Author/Opus: This is the 238th puzzle from our contributing puzzlemaster Grant Fikes.

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 15th row, followed by a comma, followed by the 24th row.

Time Standards (highlight to view): Grandmaster = 15:00, Master = 30:00, Expert = 1:00:00

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. More Fillomino puzzles can be found in The Art of Puzzles and in Fill o’ Fillomino by Grant Fikes.

Cave by Thomas Snyder

Cave by Thomas Snyder

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: Diamonds

Author/Opus: This is the 266th puzzle from Thomas Snyder, aka Dr. Sudoku.

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 = 3:30, Master = 5:15, Expert = 10:30

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. More Cave puzzles can be found in The Art of Puzzles and in Roger Barkan’s Colossal Cave Collection.

Pentominous by Murat Can Tonta

Pentominous by Murat Can Tonta

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 letter entry mode.)

Theme: 8 Symmetric Clues

Author/Opus: This is the 63rd puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Pentominous rules.

Answer String: Enter the letter associated with the pentomino occupying each cell in the marked row from left to right and then in the marked column from top to bottom, separating the groups with a comma. Use CAPITAL LETTERS!

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

Solution: PDF

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

Fillomino (Symmetry) by Murat Can Tonta

Fillomino by Murat Can Tonta

(View image directly for larger form.)

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 61st puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Fillomino rules. Also, all polyominoes should have rotational symmetry as in this example:

Fillomino by Serkan Yürekli

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 3rd column, followed by a comma, followed by the 10th column.

Time Standards (highlight to view): Grandmaster = 7:30, Master = 10:45, Expert = 21:30

Solution: PDF; a solution video is available here.

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles and in Fill o’ Fillomino by Grant Fikes.

Snake Pit by Carl Worth

Snake Pit by Carl Worth

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: Nest of Snakes

Author/Opus: This is the 23rd puzzle from our contributing puzzlemaster Carl Worth.

Rules: (Hybrid of Fillomino and Snake Puzzles.) Divide the grid along the boundary lines so that every cell belongs to a snake. A snake is a one-cell-wide path at least two cells long that does not touch itself, not even diagonally. Circled cells must be at one of the ends of a snake. A snake may contain one circled cell, two circled cells, or no circled cells at all. Numbered cells must be part of a snake with a length of exactly that number of cells. A snake may contain one number, multiple identical numbers, or no numbers at all. Two snakes of the same length cannot touch each other horizontally or vertically.

Also see this example:

Snake Pit by Carl Worth

Answer String: For each cell in the marked rows/columns, enter the length of the snake it belongs to. Enter just the last digit for any two-digit number. This example has the key “35522,44462”.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 5:45, Expert = 11:30

Solution: PDF

Note: Follow these link for other Fillomino or Snake puzzles.

Fillomino by Grant Fikes

Fillomino by Grant Fikes

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 230th puzzle from our contributing puzzlemaster Grant Fikes.

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 6th row, followed by a comma, followed by the 8th row.

Time Standards (highlight to view): Grandmaster = 1:00, Master = 1:45, Expert = 3:30

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. More Fillomino puzzles can be found in The Art of Puzzles and in Fill o’ Fillomino by Grant Fikes.