Skyscrapers (with Mirrors) by Palmer Mebane

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:

Skyscrapers (with Mirrors) by Thomas Snyder

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

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

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:

Skyscrapers (with Mirrors) by Thomas Snyder

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

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

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:

Skyscrapers (with Mirrors) by Thomas Snyder

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

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]

Our master+ subscribers receive access to two bonus puzzles each week in addition to other rewards. We make these posts so those supporters have a space to comment on these puzzles, mark as FAVES, or log their solving. If you are interested in subscribing and seeing these bonus puzzles, click here for more info.

Gaps Between Battleships by Palmer Mebane

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:

Gaps Between Battleships Example by Thomas Snyder

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.

Schedule for Next Week

Our most recent week of Nurikabe puzzles can be found in this PDF.

This coming week features a variety mix of puzzles by Palmer Mebane, created as practice for the US team before the most recent World Puzzle Championship. There are several Skyscrapers (with Mirrors) puzzles, as well as other variations — 9 puzzles in total. Note: these puzzles can have high variance in solving time partially due to the genres being less familiar to solvers at this site, so expect some of the “days of the week” to be out of order for you.

This week, our subscribers are getting early access to the full week of puzzles, images of the puzzle solutions, and video talkthroughs of two of the less common puzzles. Master+ subscribers to the site are getting a bonus Gaps Between Battleships puzzle and a Pyramid puzzle by Palmer Mebane. If you want to become a subscriber and get access to bonus puzzles, solutions, e-books, and other rewards, check out this page.

PS: Also look towards the end of the week for a competition report from the World Puzzle Championship, telling my story of an unexpected world title win.

PPS: The answer checker (maintained by thegriddle.net) is undergoing end of year maintenance; please be patient as it may be missing from posts or not accepting solutions this week.

Nurikabe by Murat Can Tonta [Bonus]

Our master+ subscribers receive access to two bonus puzzles each week in addition to other rewards. We make these posts so those supporters have a space to comment on these puzzles, mark as FAVES, or log their solving. If you are interested in subscribing and seeing these bonus puzzles, click here for more info.

Nurikabe by Murat Can Tonta

Theme: Eights

Author/Opus: This is the 126th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Nurikabe rules.

Answer String: Enter the length in cells of each of the black segments (the unnumbered, connected “ocean”) from left to right for the marked rows. Separate each row’s entry from the next with a comma.

Time Standards (highlight to view): Grandmaster = 2:00, Master = 4:00, Expert = 8:00

Note: Follow this link for classic Nurikabe puzzles on this website and this link for other variations on Nurikabe puzzles. If you are new to this puzzle type, here are our easiest Nurikabe puzzles to get started on. More Nurikabe puzzles can be in The Art of Puzzles, in our beginner-friendly book Logic Puzzles 101, and in the e-book Nurikabe by Ashish Kumar.

Nurikabe Loop by Murat Can Tonta

Nurikabe by Murat Can Tonta

PDF

Theme: Primes

Author/Opus: This is the 125th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: In this variation of Nurikabe, the no 2×2 ocean rule is removed and instead all ocean cells must belong to a single closed loop.

Specifically: Divide the grid into regions called “islands”, each containing exactly one of the given numbers and with the same area as that number. Islands can only touch diagonally. A single closed loop (without intersection or crossings) must be drawn in all remaining cells.

Nurikabe Loop by Serkan Yürekli

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma. This example has the key “12,3”.

Time Standards (highlight to view): Grandmaster = 5:30, Master = 10:15, Expert = 20:30

Note: Follow this link for classic Nurikabe puzzles on this website and this link for other variations on Nurikabe puzzles. If you are new to this puzzle type, here are our easiest Nurikabe puzzles to get started on. More Nurikabe puzzles can be in The Art of Puzzles, in our beginner-friendly book Logic Puzzles 101, and in the e-book Nurikabe by Ashish Kumar.