Archive for the ‘Variation’ Category:

Cross the Tapa by Chris Green

Cross The Tapa by Chris Green

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode, a number entry mode for placing Tapa clues, and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Mix and Match (Each set of row clues is also a set of column clues)

Author/Opus: This is the 8th puzzle from guest contributor Chris Green.

Rules: (Style created by Chris Green as a combination of Cross the Streams and Tapa rules.)

Shade some empty cells black to create a single group of black cells that are all connected to each other through their edges. No 2×2 cell area within the grid contains all black cells.

Numbers and symbols to the left/top of the grid represent all unshaded cells in the grid in that row/column in order, either from left to right or from top to bottom. The numbers and symbols represent the value of Tapa-style clues inside the grid, specifically the length of consecutive shaded blocks in the neighboring cells. If there is more than one number in a cell, then there must be at least one white (unshaded) cell between shaded groups.

The three symbols indicate different kinds of missing information.
– A question mark (?) represents a single missing positive integer as part of a clue (either alone or in combination with other numbers/question marks).
– An octothorpe (#) represents a single white clue cell which may have any combination of values including a single number or multiple numbers.
– An asterisk (*) represents an unknown number of white clue cells, including one, multiple, or no clue cells at all. Any clue cells indicated by an asterisk can have any combination of values including a single number or multiple numbers.

Also see this example by Thomas Snyder:

Cross The Tapa by Thomas Snyder

Answer String: Enter the length in cells of each of the black segments from top to bottom for the marked columns, going in order from A to B to C to D and separating each entry with a comma.

Time Standards (highlight to view): Grandmaster = 7:00, Master = 12:00, Expert = 24:00.

Solution: PDF; a solution video is available here.

Note: Follow this link for other Cross the Streams and this link for other Tapa.

Cross the Tapa by Chris Green

Cross The Tapa by Chris Green

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode, a number entry mode for placing Tapa clues, and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Octothorpes

Author/Opus: This is the 7th puzzle from guest contributor Chris Green.

Rules: (Style created by Chris Green as a combination of Cross the Streams and Tapa rules.)

Shade some empty cells black to create a single group of black cells that are all connected to each other through their edges. No 2×2 cell area within the grid contains all black cells.

Numbers and symbols to the left/top of the grid represent all unshaded cells in the grid in that row/column in order, either from left to right or from top to bottom. The numbers and symbols represent the value of Tapa-style clues inside the grid, specifically the length of consecutive shaded blocks in the neighboring cells. If there is more than one number in a cell, then there must be at least one white (unshaded) cell between shaded groups.

The three symbols indicate different kinds of missing information.
– A question mark (?) represents a single missing positive integer as part of a clue (either alone or in combination with other numbers/question marks).
– An octothorpe (#) represents a single white clue cell which may have any combination of values including a single number or multiple numbers.
– An asterisk (*) represents an unknown number of white clue cells, including one, multiple, or no clue cells at all. Any clue cells indicated by an asterisk can have any combination of values including a single number or multiple numbers.

Also see this example by Thomas Snyder:

Cross The Tapa by Thomas Snyder

Answer String: Enter the length in cells of each of the black segments from top to bottom for the marked columns, going in order from A to B to C to D and separating each entry with a comma.

Time Standards (highlight to view): Grandmaster = 7:30, Master = 9:30, Expert = 19:00.

Solution: PDF

Note: Follow this link for other Cross the Streams and this link for other Tapa.

Cross the Tapa by Chris Green

Cross The Tapa by Chris Green

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode, a number entry mode for placing Tapa clues, and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Question Marks

Author/Opus: This is the 6th puzzle from guest contributor Chris Green.

Rules: (Style created by Chris Green as a combination of Cross the Streams and Tapa rules.)

Shade some empty cells black to create a single group of black cells that are all connected to each other through their edges. No 2×2 cell area within the grid contains all black cells.

Numbers and symbols to the left/top of the grid represent all unshaded cells in the grid in that row/column in order, either from left to right or from top to bottom. The numbers and symbols represent the value of Tapa-style clues inside the grid, specifically the length of consecutive shaded blocks in the neighboring cells. If there is more than one number in a cell, then there must be at least one white (unshaded) cell between shaded groups.

The three symbols indicate different kinds of missing information.
– A question mark (?) represents a single missing positive integer as part of a clue (either alone or in combination with other numbers/question marks).
– An octothorpe (#) represents a single white clue cell which may have any combination of values including a single number or multiple numbers.
– An asterisk (*) represents an unknown number of white clue cells, including one, multiple, or no clue cells at all. Any clue cells indicated by an asterisk can have any combination of values including a single number or multiple numbers.

Also see this example by Thomas Snyder:

Cross The Tapa by Thomas Snyder

Answer String: Enter the length in cells of each of the black segments from top to bottom for the marked columns, going in order from A to B to C to D and separating each entry with a comma.

Time Standards (highlight to view): Grandmaster = 4:30, Master = 6:30, Expert = 13:00.

Solution: PDF

Note: Follow this link for other Cross the Streams and this link for other Tapa.

Cross the Tapa by Chris Green

Cross The Tapa by Chris Green

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode, a number entry mode for placing Tapa clues, and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Asterisks

Author/Opus: This is the 5th puzzle from guest contributor Chris Green.

Rules: (Style created by Chris Green as a combination of Cross the Streams and Tapa rules.)

Shade some empty cells black to create a single group of black cells that are all connected to each other through their edges. No 2×2 cell area within the grid contains all black cells.

Numbers and symbols to the left/top of the grid represent all unshaded cells in the grid in that row/column in order, either from left to right or from top to bottom. The numbers and symbols represent the value of Tapa-style clues inside the grid, specifically the length of consecutive shaded blocks in the neighboring cells. If there is more than one number in a cell, then there must be at least one white (unshaded) cell between shaded groups.

The three symbols indicate different kinds of missing information.
– A question mark (?) represents a single missing positive integer as part of a clue (either alone or in combination with other numbers/question marks).
– An octothorpe (#) represents a single white clue cell which may have any combination of values including a single number or multiple numbers.
– An asterisk (*) represents an unknown number of white clue cells, including one, multiple, or no clue cells at all. Any clue cells indicated by an asterisk can have any combination of values including a single number or multiple numbers.

Also see this example by Thomas Snyder:

Cross The Tapa by Thomas Snyder

Answer String: Enter the length in cells of each of the black segments from top to bottom for the marked columns, going in order from A to B to C to D and separating each entry with a comma.

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

Solution: PDF

Note: Follow this link for other Cross the Streams and this link for other Tapa.

Battleships (Unknown Fleet) by Serkan Yürekli

Battleships by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between ship placement and shading modes. In ship placement mode, right click gives sea, left click gives circle/square, left click and drag for rounded ships.)

Theme: Question Mark

Author/Opus: This is the 170th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Variation of Battleships. Locate an unknown fleet of 1-cell wide ships into the grid. Each segment of a ship occupies a single cell, and ships do not touch each other, even diagonally. Some sea cells, without any ship segments, are given in the grid. Numbers on the right and bottom edges of the grid reveal the number of ship segments in that row or column. Numbers on the top and left of the grid indicate the number of distinct ships in that row or column.

See also this example:

Battleships by Serkan Yürekli

Answer String: For each row from top to bottom, enter the number of the first column from the left where a ship segment appears (enter just the last digit for any two-digit number). If the row is empty, enter 0. Enter these numbers as a single string with no separators.

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

Solution: PDF

Note: Follow this link for other classic Battleships. If you are new to this puzzle type, here are our easiest Battleships to get started on. More Battleships puzzles can be found in The Art of Puzzles collection.

Tapa (Different) by Thomas Snyder

Tapa by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: 2×2 Squares (for Chris Green)

Author/Opus: This is the 292nd puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Tapa rules. Also, each dashed region must have a different combination of shaded and unshaded cells. See also this example (from Chris Green).

See also this example:

Example by Chris Green

Answer String: Enter the length in cells of each of the shaded segments 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 = 10:00, Master = 17:00, Expert = 34:00

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

Note: Follow this link for other Tapa variations and this link for classic Tapa. If you are new to this puzzle type, here are our easiest Tapa puzzles to get started on. More Tapa puzzles can be found in The Art of Puzzles and in Tapa and Variations, both by Serkan Yürekli.

Kakuro (Nonconsecutive) by Grant Fikes

Kakuro by Grant Fikes

PDF

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

Theme: Logical (for Randy Rogers)

Author/Opus: This is the 250th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Kakuro rules. Also, no two consecutive numbers (i.e., numbers that differ by 1) can be in cells that share an edge.

Answer String: Enter the values in each cell in the 3rd column from top to bottom and then in the 10th column from top to bottom, separating the two entries with a comma. Ignore black cells.

Time Standards (highlight to view): Grandmaster = 6:30, Master = 10:00, Expert = 20:00

Solution: PDF

Note: Follow this link for other Kakuro puzzles. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli. Kakuro will also be featured in the upcoming The Art of Puzzles 2.

Fillomino (Primes) by Carl Worth

Fillomino 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: Primes (for Daniel Cohen)

Author/Opus: This is the 26th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard Fillomino rules, except that the size of all regions must be a prime number (2, 3, 5, 7, …).

Answer String: For each cell in the marked columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 4th column, followed by a comma, followed by the 8th column.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 8:00, Expert = 16:00

Solution: PDF

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.

Tapa (Borders) by Palmer Mebane

Tapa (Borders) by Palmer Mebane

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Antisymmetric Borders (for Veep)

Author/Opus: This is the 38th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Standard Tapa rules. Also, if two cells are separated by a thick border, this means that exactly one of those cells is shaded and the other is unshaded. (Cells missing a border that appear as larger shapes are entirely shaded or entirely unshaded. The count of shaded cells is always based on 1×1 squares, meaning if a “large” cell with missing borders occupies multiple 1×1 squares around a clue it would contribute 2 or more cells if shaded for that clue.)

Answer String: Enter the length in cells of each of the shaded segments 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 = 3:00, Master = 5:45, Expert = 11:30

Solution: PDF

Note: Follow this link for other Tapa variations and this link for classic Tapa. If you are new to this puzzle type, here are our easiest Tapa puzzles to get started on. More Tapa puzzles can be found in The Art of Puzzles and in Tapa and Variations, both by Serkan Yürekli.

Yajisan Kazusan by Thomas Snyder

Yajisan Kazusan by Thomas Snyder

PDF

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

Theme: X’s and O’s (for Jamie Hargrove)

Author/Opus: This is the 291st puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Shade some cells black so that all unshaded number and arrow clues indicate the exact count of shaded cells in the given direction. Shaded cells cannot share an edge, and all white cells must remain connected as part of a single contiguous group. It is allowed to shade over some of the numbered cells; a shaded over clue may or may not be true.

Also, see this example:

Yajisan Kazusan by Thomas Snyder

Answer String: For each row from top to bottom, enter the number of shaded cells as a single string. For the example, the answer is “20212”.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 4:30, Expert = 9:00

Solution: PDF

Note: Follow this link for other less common Shading puzzles.