### Skyscrapers (with Mirrors) by Palmer Mebane

PDF

Theme: All For One, …

Author/Opus: This is the 44th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Skyscrapers. Insert a digit from 1 to 5 into each empty cell so that each row and column has one copy of each digit and exactly one mirror. The direction of the mirrors must also be determined. Each digit in the grid represents the height of a building, and clues on the outside of the grid indicate how many buildings can be “seen” when looking from that direction, including those seen through the mirror’s reflection. Buildings block the view of any building with equal or lower height behind them.

Also see this example:

Answer String: Enter the 3rd row from left to right, followed by a comma, followed by the 5th row from left to right. Use the slash characters / or \ to enter the mirrors.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 6:00, Expert = 12:00

Solution: PDF

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. If you are new to this puzzle type, here are our easiest Skyscrapers Puzzles to get started on. More Skyscrapers puzzles can be found in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

### Galaxies and Tetrominoes by Palmer Mebane

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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 shading mode.)

Theme: Logical

Author/Opus: This is the 43rd puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Combination of Tetromino/object placement and Spiral Galaxies puzzle styles. Place the seven tetromino shapes into the grid, rotations allowed but not reflections. Tetrominoes do not touch each other not even diagonally and they do not cover any cell with part of a white circle. Digits on the left/top of the grid indicate the number of cells used by tetrominoes in that row/column. Digits on the right/bottom indicate the number of different tetromino shapes partially in that row/column. All remaining white cells must be part of connected regions – “galaxies” – with rotational symmetry. Each galaxy must have exactly one circle at its center of rotational symmetry.

Answer String: For each cell in the marked rows, enter the tetromino shape (as a capital letter IJLOSTZ) or the galaxy size in cells (enter just the last digit for any two-digit number). Separate the rows with a comma. An example answer would be “772TTT44SS,6664333LLL”.

Time Standards (highlight to view): Grandmaster = 4:45, Master = 9:30, Expert = 19:00

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

Note: Follow this link for classic Spiral Galaxies puzzles on this website and this link for variations on Spiral Galaxies puzzles. If you are new to this puzzle type, here are our easiest Spiral Galaxies Puzzles to get started on. More Spiral Galaxies puzzles can be found in The Art of Puzzles 2.

### Skyscrapers (with Mirrors) by Palmer Mebane

PDF

Theme: Easy as 1, 2, 3, 4?

Author/Opus: This is the 42nd puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Skyscrapers. Insert a digit from 1 to 4 or a diagonal mirror into each empty cell so that each row and column has one copy of each digit and exactly one mirror. Each digit in the grid represents the height of a building, and clues on the outside of the grid indicate how many buildings can be “seen” when looking from that direction, including those seen through the mirror’s reflection. Buildings block the view of any building with equal or lower height behind them.

Also see this example:

Answer String: Enter the 3rd row from left to right, followed by a comma, followed by the 4th row from left to right. Use the slash characters / or \ to enter the mirrors.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 6:30, Expert = 13:00

Solution: PDF

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. If you are new to this puzzle type, here are our easiest Skyscrapers Puzzles to get started on. More Skyscrapers puzzles can be found in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

### Skyscrapers (with Mirrors) by Palmer Mebane

PDF

Theme: Logical

Author/Opus: This is the 41st puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Skyscrapers. Insert a digit from 1 to 4 into each empty cell so that each row and column has one copy of each digit and exactly one mirror. The direction of the mirrors must also be determined. Each digit in the grid represents the height of a building, and clues on the outside of the grid indicate how many buildings can be “seen” when looking from that direction, including those seen through the mirror’s reflection. Buildings block the view of any building with equal or lower height behind them.

Also see this example:

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 2nd row from left to right. Use the slash characters / or \ to enter the mirrors.

Time Standards (highlight to view): Grandmaster = 1:00, Master = 2:15, Expert = 4:30

Solution: PDF

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. If you are new to this puzzle type, here are our easiest Skyscrapers Puzzles to get started on. More Skyscrapers puzzles can be found in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

### Skyscrapers (with Mirrors) by Palmer Mebane

PDF

Theme: Logical

Author/Opus: This is the 40th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Skyscrapers. Insert a digit from 1 to 4 into each empty cell so that each row and column has one copy of each digit and exactly one mirror. Each digit in the grid represents the height of a building, and clues on the outside of the grid indicate how many buildings can be “seen” when looking from that direction, including those seen through the mirror’s reflection. Buildings block the view of any building with equal or lower height behind them.

Also see this example:

Answer String: Enter the 3rd row from left to right, followed by a comma, followed by the 4th row from left to right. Ignore the cells with the mirrors when entering the solution (i.e., just enter cells with digits 1-4).

Time Standards (highlight to view): Grandmaster = 0:30, Master = 0:45, Expert = 1:30

Solution: PDF

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. If you are new to this puzzle type, here are our easiest Skyscrapers Puzzles to get started on. More Skyscrapers puzzles can be found in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

### Gaps Between Battleships by Palmer Mebane [bonus]

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Theme: Logical

Author/Opus: This is the 39th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Battleships. Place the given set of “ships” into the grid, rotations and reflections allowed, so that no ship touches another, not even diagonally. Every row and column will have exactly two ships in it, and the clues outside the grid indicate the count of empty cells between the ships.

Also see this example:

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 = 4:45, Master = 8:30, Expert = 17:00

Note: Follow this link for more classic Battleships puzzles. More Battleships puzzles can be found in Battleships and Variations, in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

### 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.