Archive for the ‘Variation’ Category:

Heavy Dots by Prasanna Seshadri

Heavy Dots by Prasanna Seshadri

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 22nd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Draw vertical/horizontal lines between dots to divide the grid into regions. A region may contain at most one number, equal to the area of the region. No region may cover a 2×2 area. Some dots are “heavy” and have 3 or 4 lines connected to them. Black circles indicate heavy dots with exactly three lines; white circles indicate heavy dots with four lines. Not all heavy dots are given, but there can be no heavy dots orthogonally adjacent to the indicated ones. In other words, there may be only 2 lines from any unmarked dot adjacent to a white/black circle (these dots are gray in the example).

Heavy Dots example by Prasanna Seshadri

Answer String: Enter the length of groups of white cells in the same area in the marked rows. For this example, the answer is “11212, 1132”

Time Standards (highlight to view): Grandmaster = 8:30, Master = 14:00, Expert = 28:00

Solution: PDF; a solution video is available here.

Note: This is a new puzzle style, so it is recommended to carefully review and solve the example first to get used to the thinking and all the rules.

Thermo-Skyscraper Sudoku by Hans van Stippent

Thermo-Skyscraper Sudoku by Hans van Stippent

PDF

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

Theme: No Givens

Author/Opus: This is the 5th puzzle from guest contributor Hans van Stippent.

Note: we’ve been holding onto this puzzle for awhile; it was inspired by last year’s USPC Thermo-Skyscrapers puzzle and, by adding in the sudoku constraints, makes a nice challenge before this weekend’s US Sudoku Qualifying Test.

Rules: Standard Thermo-Sudoku rules. Also, any digits in the thermometer shapes outside of the grid are Skyscraper clues, representing the number of buildings seen inside the grid in that direction as in a regular Skyscrapers puzzle. (Note: digits in a thermometer must be strictly increasing even when outside the grid, so do not repeat any digits within a thermometer.)

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 6th row from left to right. Note: only enter the 9 digits inside the grid in these rows, not any of the outside skyscraper clues.

Time Standards (highlight to view): Grandmaster = 5:30, Master = 9:30, Expert = 19:00

Solution: PDF

Note: Follow this link for more Thermo-Sudoku puzzles. If you are new to this puzzle type, here are our easiest Thermo-Sudoku to get started on. More Thermo-Sudoku puzzles can be found in The Art of Sudoku 2.

Bonus: Double Minesweeper by Serkan Yürekli

Double Minesweeper by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools. Use left click to place 1 or 2 mines, right click (in cell) to mark unused, right click (on edge/corner) to mark a note; hitting tab will also enable a shading mode. If you want more solving options, turn off Penpa-Lite option.)

Theme: Symmetry and Logic (Note: this puzzle originally appeared in this year’s 24H Puzzle Championship.)

Author/Opus: This is the 44th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Place either 0, 1, or 2 mines into each empty cell so that each number represents the total count of mines in all neighboring cells, including diagonally adjacent cells. See also this example:

Double Minesweeper by Serkan Yürekli

Answer String: For each cell in the marked rows, enter the number of mines (0, 1, 2) for each cell. Enter 0 if the cell is a number cell. Separate each row’s entry from the next with a comma. In this example, the answer is “022102,002000”.

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

Solution: PDF

Note: This is a bonus puzzle and is not tied to a normal weekly difficulty rating. Click here for other Double Minesweeper puzzles.

Dominion by Serkan Yürekli

Dominion by Serkan Yürekli

PDF

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

Theme: C Sharp

Author/Opus: This is the 43rd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Shade some empty cells black to form a set of dominoes (1×2 rectangles) that divides the grid into white regions; the dominoes cannot overlap or share an edge. Each region must contain exactly one type of given letter, and must also contain all instances of that letter (i.e. there cannot be two regions that contain C). See also this example:

Dominion by Serkan Yürekli

Answer String: Enter the length of the unshaded segments in order in the marked rows/columns. Separate the groups with a comma. For this example, the answer is “25,132”

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

Solution: PDF

Bonus: Double Minesweeper by Serkan Yürekli

Double Minesweeper by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools. Use left click to place 1 or 2 mines, right click (in cell) to mark unused, right click (on edge/corner) to mark a note; hitting tab will also enable a shading mode. If you want more solving options, turn off Penpa-Lite option.)

Theme: Symmetry and Logic (Note: this puzzle originally appeared in this year’s Japan dakejanai Zukei dakejanai Puzzle Championship.)

Author/Opus: This is the 42nd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Place either 0, 1, or 2 mines into each empty cell so that each number represents the total count of mines in all neighboring cells, including diagonally adjacent cells. See also this example:

Double Minesweeper by Serkan Yürekli

Answer String: For each cell in the marked rows, enter the number of mines (0, 1, 2) for each cell. Enter 0 if the cell is a number cell. Separate each row’s entry from the next with a comma. In this example, the answer is “022102,002000”.

Time Standards (highlight to view): Grandmaster = 1:15, Master = 1:45, Expert = 3:30

Solution: PDF

Note: This is a bonus puzzle and is not tied to a normal weekly difficulty rating. Click here for other Double Minesweeper puzzles.

Slitherlink (Sheep and Wolves) by Grant Fikes

Slitherlink by Grant Fikes

PDF

or solve online (using our beta test of Penpa-Edit tools in edgex mode where left click+drag draws lines and right click marks X’s)

Theme: Symmetrical Clues (allowing for rotations and reflections)

Author/Opus: This is the 102nd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Slitherlink rules. Also, there are some sheep (marked by a reflected 2 in blue) that must be inside the loop and some wolves (marked by a rotated 3 in red) that must be outside the loop.

(Note: the reflected/rotated digits in blue and red do not actually serve as loop clues meaning 2 and 3, just as sheep and wolves. We chose this presentation because the theme works better with the wackiness of some 2’s and 3’s even if it needs this extra note.)

Answer String: Enter the length in cells of each of the internal loop segments following the arrows for the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:30, Expert = 5:00

Solution: PDF

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

Bonus: Double Minesweeper by Serkan Yürekli

Double Minesweeper by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools. Use left click to place 1 or 2 mines, right click (in cell) to mark unused, right click (on edge/corner) to mark a note; hitting tab will also enable a shading mode. If you want more solving options, turn off Penpa-Lite option.)

Theme: Symmetry and Logic (Note: this puzzle originally appeared in this year’s Japan dakejanai Zukei dakejanai Puzzle Championship.)

Author/Opus: This is the 41st puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Place either 0, 1, or 2 mines into each empty cell so that each number represents the total count of mines in all neighboring cells, including diagonally adjacent cells. See also this example:

Double Minesweeper by Serkan Yürekli

Answer String: For each cell in the marked rows, enter the number of mines (0, 1, 2) for each cell. Enter 0 if the cell is a number cell. Separate each row’s entry from the next with a comma. In this example, the answer is “022102,002000”.

Time Standards (highlight to view): Grandmaster = 1:20, Master = 2:00, Expert = 4:00

Solution: PDF

Note: This is a bonus puzzle and is probably harder than a usual Monday/Tuesday puzzle, particularly if you have not solved many Double Minesweeper puzzles.

Skyscrapers (Tight Fit) by Roland Voigt

Skyscrapers by Roland Voigt

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between Sudoku = big digits and Number candidate = small entries in the corners of cells.)

Theme: Equal Distribution and Pairing of Clue Numbers

Author/Opus: This is the 4th puzzle from guest contributor Roland Voigt.

Rules: Standard Skyscrapers rules. Also, some cells have been split into triangles, each of which must be filled with a number. In this puzzle, the numbers 1-6 must be placed in each row and column.

(The split cells are viewed in the order they are seen from a given direction, so the upper triangles are seen first from the left/top sides and the bottom triangles are seen first from the right/bottom sides.)

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 5th row from left to right. Enter the split cells in the order they are seen from the left (the upper triangle before the lower triangle).

Time Standards (highlight to view): Grandmaster = 2:00, Master = 2:40, Expert = 5:20

Solution: PDF

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

Skyscrapers (Tight Fit) by Roland Voigt

Skyscrapers by Roland Voigt

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between Sudoku = big digits and Number candidate = small entries in the corners of cells.)

Theme: Equal Distribution and Symmetry of Clue Numbers

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

Rules: Standard Skyscrapers rules. Also, some cells have been split into triangles, each of which must be filled with a number. In this puzzle, the numbers 1-5 must be placed in each row and column.

(The split cells are viewed in the order they are seen from a given direction, so the upper triangles are seen first from the left/top sides and the bottom triangles are seen first from the right/bottom sides.)

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 3rd row from left to right. Enter the split cells in the order they are seen from the left (the upper triangle before the lower triangle).

Time Standards (highlight to view): Grandmaster = 0:40, Master = 1:15, Expert = 2:30

Solution: PDF

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

Negative Tetromino by Serkan Yürekli

Negative Tetromino by Serkan Yürekli

PDF

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

Theme: Words

Author/Opus: This is the 36th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the white cells into tetrominoes so that no two regions sharing an edge are the same tetromino (L, I, O, S, or T considering rotation and reflection). Regions may contain at most 1 cell with given letters; regions with such a cell CANNOT have the same tetromino shape as any of the letters in that cell. Also, see this example:

Negative Tetromino by Serkan Yürekli

Answer String: Enter the letter of the tetromino region for each cell in the two marked rows from left to right, separating the rows with a comma. Use CAPITAL LETTERS for L, I, O, S, and T.

Time Standards (highlight to view): Grandmaster = 1:15, Master = 2:30, Expert = 5:00

Solution: PDF