Archive for the ‘Number Placement’ Category:

Skyscrapers (with Mirrors) by Palmer Mebane

Skyscrapers (with Mirrors) by Palmer Mebane

PDF

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

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

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

Skyscrapers (with Mirrors) by Palmer Mebane

PDF

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

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

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.

TomTom by Murat Can Tonta

TomTom by Murat Can Tonta

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 123rd puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard TomTom rules, using the integers 1-8.

Answer String: Enter the 5th row from left to right followed by the 8th row from left to right. Separate the entries with a comma.

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

Solution: PDF

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

TomTom (Isometric) by Thomas Snyder

TomTom by Thomas Snyder

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 327th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard TomTom rules, using the integers 1-8. The “rows” in this puzzle pass through opposite parallel sides of each quadrilateral; in other words, the rows bend across the surface of the apparent cube to travel in a “straight” line.

Answer String: Enter the 5th “row” from left to right followed by the 6th “row” from left to right. Separate the entries with a comma.

Time Standards (highlight to view): Grandmaster = 4:30, Master = 6:15, Expert = 12:30

Solution: PDF

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

TomTom (Different Number Set) by Thomas Snyder

TomTom by Thomas Snyder

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

Theme: Fibonacci Frame

Author/Opus: This is the 326th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard TomTom rules, using the indicated set of integers {1,1,2,3,5,8}.

Answer String: Enter the 3rd row from left to right followed by the 6th row from left to right. Separate the entries with a comma.

Time Standards (highlight to view): Grandmaster = 3:15, Master = 4:45, Expert = 9:30

Solution: PDF

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

TomTom by Yunus Emre Büyükkale

TomTom by Yunus Emre Büyükkale

PDF

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

Theme: Cactus (Note: shading is for thematic purposes only)

Author/Opus: This is the 4th puzzle from guest contributor Yunus Emre Büyükkale.

Rules: Standard TomTom rules, using the integers 1-6.

Answer String: Enter the 3rd row from left to right followed by the 6th row from left to right. Separate the entries with a comma.

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

Solution: PDF

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

TomTom by Murat Can Tonta

TomTom by Murat Can Tonta

PDF

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

Theme: Nine Men’s Morris

Author/Opus: This is the 122nd puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard TomTom rules, using the integers 1-6.

Answer String: Enter the 5th row from left to right followed by the 6th row from left to right. Separate the entries with a comma.

Time Standards (highlight to view): Grandmaster = 1:20, Master = 1:45, Expert = 3:30

Solution: PDF

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

TomTom by Bahar Açılan

TomTom by Bahar Açılan

PDF

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

Theme: Six (Note: shading is for thematic purposes only)

Author/Opus: This is the 3rd puzzle from guest contributor Bahar Açılan.

Rules: Standard TomTom rules, using the integers 1-6.

Answer String: Enter the 3rd row from left to right followed by the 6th row from left to right. Separate the entries with a comma.

Time Standards (highlight to view): Grandmaster = 0:50, Master = 1:15, Expert = 2:30

Solution: PDF

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

Skyscrapers by Grant Fikes

Skyscrapers by Grant Fikes

PDF

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

Theme: Logical

Author/Opus: This is the 284th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Skyscrapers rules.

Answer String: Enter the 5th row from left to right, followed by a comma, followed by the 6th row from left to right.

Time Standards (highlight to view): Grandmaster = 1:20, Master = 1:45, Expert = 3:30

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.

Double Kakuro by İlay Zehra Şenay

Kakuro by İlay Zehra Şenay

PDF

or solve online (using our beta test of Penpa-Edit tools; note that the dotted circles are just for answer entry and are where the number should be placed in the 2×2 cell. An alternate option with centralized digit entry is here.)

Theme: 4×4

Author/Opus: This is the 3rd puzzle from guest contributor İlay Zehra Şenay.

Rules: Variation of Kakuro. The gray (2×2) cells are to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of if it is in a small or large cell.

Answer String: Enter the values in each white/gray cell in the marked row from left to right and then the marked column from top to bottom, separating the groups with a comma.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 6:15, Expert = 12:30

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 eventually be featured in The Art of Puzzles 2.