PDF

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

Theme: Clue Symmetry and Logic (or Empty Middle)

Author/Opus: This is the 61st puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Pentopia rules: Place some of the given pentominoes in the grid so that no pentominoes are in adjacent cells that share an edge or corner. Pentominoes cannot repeat in the grid; rotations and reflections of a pentomino are considered the same shape. The arrow clues indicate all the directions (up, down, left, and right) where the nearest pentominoes are located when looking from that square. (Arrow clues cannot contain pentomino shapes.) Also, see this example:

Answer String: Enter the length in cells of each of the shaded pentomino segments from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma. The example has the solution “21,23”.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 5:30, Expert = 11:00

Solution: PDF

Note: Follow this link for more Pentopia puzzles and this link for other puzzles involving Pentominoes.

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 60th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Pentopia rules: Place some of the given pentominoes in the grid so that no pentominoes are in adjacent cells that share an edge or corner. Pentominoes cannot repeat in the grid; rotations and reflections of a pentomino are considered the same shape. The arrow clues indicate all the directions (up, down, left, and right) where the nearest pentominoes are located when looking from that square. (Arrow clues cannot contain pentomino shapes.) Also, see this example:

Answer String: Enter the length in cells of each of the shaded pentomino segments from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma. The example has the solution “21,23”.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 3:15, Expert = 6:30

Solution: PDF

Note: Follow this link for more Pentopia puzzles and this link for other puzzles involving Pentominoes.

(view directly for a larger image)

PDF

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

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.

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: Clue Symmetry and Logic

Author/Opus: This is the 212nd puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Battleships rules. Use the indicated fleet.

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 = 2:00, Master = 3:15, Expert = 6:30

Solution: PDF; a solution video is available here.

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.

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: Clue Symmetry and Logic

Author/Opus: This is the 201st puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Battleships rules. Use the indicated fleet.

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 = 1:15, Master = 1:45, Expert = 3:30

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.

(View image directly for larger form.)

PDF

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

Theme: Logical

Author/Opus: This is the 9th puzzle from guest contributor Hans van Stippent.

Rules: Standard Star Battle rules. Three stars per row, column, and region.

Answer String: 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 = 4:00, Master = 5:30, Expert = 11:00

Solution: PDF

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

PDF

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

Theme: Logical (Originally on 2014 Hungarian Puzzle Championship)

Author/Opus: This is the 6th puzzle from guest contributor Zoltán Horváth.

Rules: Place all 12 pentominoes into the grid, rotations and reflections allowed. Pentominoes cannot touch each other, not even diagonally. Pentominoes cannot use any of the black squares. Outside numbers indicate how many cells in that row/column are part of pentominoes.

Answer String: Enter letters for all pentomino segments from left to right in the marked rows, with one letter for each cell it appears in (e.g. LLLLIV,XXXUU). Separate each row’s entry with a comma and use CAPITAL LETTERS.

Time Standards (highlight to view): Grandmaster = 7:30, Master = 12:30, Expert = 25:00

Solution: PDF; a solution video is available here.

Note: Follow this link for other puzzles involving Pentominoes.

PDF

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

Theme: Four Squares (Originally on 2014 Hungarian Puzzle Championship)

Author/Opus: This is the 5th puzzle from guest contributor Zoltán Horváth.

Rules: Standard Star Battle rules. Two stars per row, column, and region.

Answer String: For each row from top to bottom, enter the number of the first column from the left where a star appears. Enter these numbers as a single string with no separators.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 5:45, Expert = 11:30

Solution: PDF

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

PDF

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

Theme: Logical (Originally on 2014 Hungarian Puzzle Championship)

Author/Opus: This is the 4th puzzle from guest contributor Zoltán Horváth.

Rules: Put the given shape into each box; the shape can be rotated and reflected. Relationship signs (<, =, >) indicate the relative number of shaded cells for that row/column in adjacent boxes.
See also this smaller example with four boxes:

Answer String: Enter the length in cells of the black shaded segments in the marked rows, starting at the top. Separate each row with a comma. Shaded groups continue across the box boundaries. The example has the key “5,32”.

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

Solution: PDF

PDF

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

Theme: Pentominoes (Originally on 2014 Hungarian Puzzle Championship)

Author/Opus: This is the 2nd puzzle from guest contributor Zoltán Horváth.

Rules: Standard Star Battle rules. Two stars per row, column, and region.

Answer String: For each row from top to bottom, enter the number of the first column from the left where a star appears. Enter these numbers as a single string with no separators.

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

Solution: PDF

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