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:

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.

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:

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.

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:

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.

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.

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 Ken Endo.

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. Cells with an X cannot be an end of a snake.

Also see this example:

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 = 7:30, Master = 10:45, Expert = 21:30

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

Note: Follow this link for other Snake puzzles.

(view directly for a larger image)

PDF

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

Theme: GMP (see Bridge Shapes)

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

Rules: Shade some cells to make sunglasses. The sunglasses consist of a bridge (a given line, in red) and two lenses made out of orthogonally connected black cells that are symmetric with respect to the perpendicular bisector of the bridge. Two lenses may not share an edge, but can intersect at a point. Cells with the bridges are not shaded, except at the bridge ends. The numbers on the right and bottom edges of the grid indicate the number of shaded lens cells in that row or column.

Also see this example:

Answer String: Enter the length in cells of each of the black lens segments from left to right for the marked rows, starting at the top. Separate each row’s entry with a comma. This example has the key “22,121,12”.

Time Standards (highlight to view): Grandmaster = 5:30, Master = 9:15, Expert = 18:30

Solution: PDF

Note: Follow this link for other shading puzzles.

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: XOXOXO (+ Antisymmetry)

Author/Opus: This is the 4th puzzle from guest contributor Nikolai Beluhov.

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. Cells with an X cannot be an end of a snake.

Also see this example:

Answer String: For each cell in the marked 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 = 11:30, Master = 17:30, Expert = 35:00

Solution: PDF

Note: Follow this link for other Snake puzzles.

PDF

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

Theme: Logical

Author/Opus: This is the 1st puzzle from guest contributor Fidel Zapico.

Rules: Standard Skyscrapers Rules. Additionally, each outside clue is also an “Easy as A, B, C” puzzle type clue, showing which digit of 2, 3, and 4 appears first in that direction in the row or column.

Answer String: Enter the 7th row from left to right, followed by a comma, followed by the 6th column from top to bottom.

Time Standards (highlight to view): Grandmaster = 10:00, Master = 14:00, Expert = 28:00

Solution: PDF

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

PDF

or solve online using our beta test of Penpa-Edit tools; use tab to alternate between a shading mode and a composite mode where left click + drag draws line segment and right click on cell edge adds an x.)

Theme: Logical

Author/Opus: This is the 11th puzzle from guest contributor Bryce Herdt.

Rules: Variation of Cross the Streams. Instead of the “no 2×2 shaded square” rule, in this hexagonal grid no 3 cells that share a point can be shaded. Also, the shaded region must be able to be split into tetrahexes to form a valid SLICY solution (meaning all tetrahexes are connected but no two tetrahexes sharing an edge are the same shape, including rotations and reflections).

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

Time Standards (highlight to view): Grandmaster = 5:30, Master = 8:15, Expert = 16:30.

Solution: PDF

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

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a shading mode and a composite mode where left click inside cell shades square, left click + drag draws line segment, right click inside cell adds dot, and right click on cell edge adds an x.)

Theme: Book Code? (The row clues hide the theme word “LITS”, but how?)

Author/Opus: This is the 10th puzzle from guest contributor Bryce Herdt.

Rules: Standard Cross the Streams rules. Also, the shaded region must be able to be split into tetrominoes to form a valid LITS solution (meaning all tetrominoes are connected but no two tetrominoes sharing an edge are the same shape, including rotations and reflections).

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 = 10:30, Expert = 21:00.

Solution: PDF; a solution video is available here.

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