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Theme: A Star Battle

Author/Opus: This is the 2nd puzzle from guest contributor Carl Worth.

Rules: Standard Star Battle rules with three stars per region. Also, both grids will have the same position of stars. The shading is for aesthetic purposes only.

Answer String: For one of the grids, for each row from top to bottom, enter the number of the column where the middle star appears. Enter just the last digit of any two-digit numbers, and enter all these numbers as a single string with no separators.

Time Standards (highlight to view): Grandmaster = 9:30, Master = 18:30, Expert = 37:00

Solution: PDF

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

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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: Plus (This variation was written for Chris Green, one of our Super Grandmaster patrons)

Author/Opus: This is the 61st puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Variation of Tapa rules. Distribute each number clue at the top into the same spot in one of the four blank grids, so that the grids can then be solved as four Tapa puzzles.

Answer String: For each row from top to bottom, enter the maximum number of cells that are shaded in that row in any of the solved grids. Enter the values as a single string (e.g., “56734452”).

Time Standards (highlight to view): Grandmaster = 18:00, Master = 30:00, Expert = 1:00:00

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.

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: Logical

Author/Opus: This is the 154th puzzle from our contributing puzzlemaster Grant Fikes.

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 left to right for the marked rows and from top to bottom for the marked columns in the two grids, going in order from A to B to C to D and separating each entry with a comma.

Time Standards (highlight to view): Grandmaster = 5:45, Master = 7:30, Expert = 15:00.

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.

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or solve online (using our beta test of Penpa-Edit tools; in default linex mode: left-click+drag draws line, right click marks X on edge)

Theme: Logical

Author/Opus: This is the 151st puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Draw a single loop in the grid which may cross itself orthogonally, but otherwise does not touch or retrace itself. The clue numbers to the left/right of the rows indicate the number of squares visited by the nearest section of the loop that travels horizontally in the rows. The clue numbers to the top/bottom of the columns indicate the number of squares visited by the nearest section of the loop that travels vertically in the columns.

Also, see this example:

Answer String: Enter the number of empty squares for each row from top to bottom, followed by a comma, and then the number of turns for each row from top to bottom. This example has the key “100000,422224”.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 3:15, Expert = 6:30

Solution: PDF

Note: Follow this link for other Round Trip puzzles. Some more Round Trip puzzles can be found in the book Loop Variety Collection by Ashish Kumar and 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, a number entry mode, and shading for this variation.)

Theme: Hidden

Author/Opus: This is the 3rd puzzle from guest contributor Robert Vollmert. This variation was first introduced by Nikolai Beluhov.

Rules: Standard Fillomino rules. Also, it must be possible to shade some polyominoes black so that no bordering polyominoes are the same color (in other words, the grid must allow a two-color shading). Also, see this example:

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 5th row, followed by a comma, followed by the 7th row.

Time Standards (highlight to view): Grandmaster = 10:15, Master = 17:00, Expert = 34:00

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.

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: Tic-Tac-Toe

Author/Opus: This is the 34th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Standard Fillomino rules. Also, each letter represents a different positive integer.

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 row, followed by a comma, followed by the 6th row. (For this puzzle, use the integer values of the area, not the encoded letters.)

Time Standards (highlight to view): Grandmaster = 6:30, Master = 11:00, Expert = 22:00

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.

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 58th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Fillomino rules. Also, only polyominoes of size 1, 2, and 3 can be used.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Start with the 1st column, followed by a comma, followed by the 5th column.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 3:30, Expert = 7:00

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.

Additional note from 2021: We renamed this puzzle variation to “Restriction” to be more consistent across the site and with our new editorial style.

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: Logical

Author/Opus: This is the 2nd puzzle from guest contributor Robert Vollmert. You can find more Fractional Skyscrapers, including an example, on his blog.

Rules: Variation of Skyscrapers. Place a digit from 1 to 6 into each cell (including one digit in each half of the split cells) so that no digit repeats in any row or column. The building heights in the split cells are evaluated as fractions (e.g. 5/2 = 2.5) when considering their heights. A building hides all other buildings behind it that are the same height or lower in height.

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 = numerator before the lower triangle = denominator).

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

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.

PDF

or solve online (using our beta test of Penpa-Edit tools; in default linex mode: left-click+drag draws line, right click marks X on edge)

Theme: Logical

Author/Opus: This is the 10th puzzle from guest contributor Hans van Stippent.

Rules: Draw a single loop in the grid which may cross itself orthogonally, but otherwise does not touch or retrace itself. The clue numbers to the left/right of the rows indicate the number of squares visited by the nearest section of the loop that travels horizontally in the rows. The clue numbers to the top/bottom of the columns indicate the number of squares visited by the nearest section of the loop that travels vertically in the columns.

Also, see this example:

Answer String: Enter the number of empty squares for each row from top to bottom, followed by a comma, and then the number of turns for each row from top to bottom. This example has the key “100000,422224”.

Time Standards (highlight to view): Grandmaster = 1:45, Master = 3:00, Expert = 6:00

Solution: PDF

Note: Follow this link for other Round Trip puzzles. Some more Round Trip puzzles can be found in the book Loop Variety Collection by Ashish Kumar and 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: Logical

Author/Opus: This is the 147th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Divide the grid into 20 pentominoes so that no two pentominoes of the same shape (including rotations/reflections) share an edge. Each number in this grid represents a clue for a different letter/pentomino as in a regular Pentominous puzzle; all instances of a number must represent the same letter. An inventory of possible pentominoes is given below the puzzle.

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

Time Standards (highlight to view): Grandmaster = 6:30, Master = 9:00, Expert = 18:00

Solution: PDF; a solution video is available here.

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.