Fractional Skyscrapers by Robert Vollmert

Skyscrapers by Robert Vollmert

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.

Round Trip by Hans van Stippent

Round Trip by Hans van Stippent

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:

Round Trip by Craig Kasper

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.

Sunday Surprise #12 – Palimpsest Puzzle Set by Nikolai Beluhov

For those who thought there would be no special puzzles on Sundays in 2014: SURPRISE!

This very creative submission comes from Nikolai Beluhov. And like his earlier Matryoshka Fillomino, this is a gift that keeps on giving. Starting with a challenging Fillomino puzzle, erasing all of the 4s leaves a Slitherlink. Then erasing all of the 3s leaves a Tapa. Then erasing all of the 2s gives a Simple Loop (treating the 1s as blackened cells).

PDF

Fillomino

Fillomino by Nikolai Beluhov

Slitherlink

Slitherlink by Nikolai Beluhov

Tapa

Tapa by Nikolai Beluhov

Simple Loop

Fillomino by Nikolai Beluhov

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between a Composite Edgesub mode for Fillomino and Slitherlink, a shading mode for Tapa, a number entry mode for Fillomino, and a line drawing mode for Simple Loop.)

Rules: Standard Fillomino rules.
Then standard Slitherlink rules.
Then standard Tapa rules.
Then Simple Loop rules (draw a single closed loop, without intersections or crossings, through all empty cells; cells with 1s cannot be visited by the loop).

Answer String: None for this puzzle; simply click solved if finished.

Solution: PDF

Round Trip by Craig Kasper

Round Trip by Craig Kasper

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: To The Nines

Author/Opus: This is the 8th puzzle from guest contributor Craig Kasper.

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:

Round Trip by Craig Kasper

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 = 4:45, Master = 7:00, Expert = 14:00

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.

Round Trip by Craig Kasper

Round Trip by Craig Kasper

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: Odd Lots

Author/Opus: This is the 7th puzzle from guest contributor Craig Kasper.

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:

Round Trip by Craig Kasper

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 = 3:30, Master = 5:00, Expert = 10:00

Solution: PDF; a solution video is available here.

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.

Round Trip by Craig Kasper

Round Trip by Craig Kasper

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: Getting Even

Author/Opus: This is the 6th puzzle from guest contributor Craig Kasper.

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:

Round Trip by Craig Kasper

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”.

Solution: PDF

Time Standards (highlight to view): Grandmaster = 3:30, Master = 6:00, Expert = 12:00

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.

Round Trip by Craig Kasper

Round Trip by Craig Kasper

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: Taking Sides

Author/Opus: This is the 5th puzzle from guest contributor Craig Kasper.

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:

Round Trip by Craig Kasper

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 = 0:40, Master = 1:30, Expert = 3:00

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.

Isodoku by Wei-Hwa Huang

Isodoku by Wei-Hwa Huang

PDF

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

Theme: One of Each Digit

Author/Opus: This is the 1st puzzle from guest contributor Wei-Hwa Huang.

Rules: Standard Isodoku rules, using numbers 1-8.

Answer String: Enter the 1st “row” from left to right, followed by a comma, followed by the 8th “row” from left to right.

Time Standards (highlight to view): Grandmaster = 8:00, Master = 18:00, Expert = 36:00

Solution: PDF

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

Star Battle by Hans van Stippent

Star Battle by Hans van Stippent

(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.

Fillomino by Tapio Saarinen

Fillomino by Tapio Saarinen

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: Small Numbers

Author/Opus: This is the 6th puzzle from guest contributor Tapio Saarinen. You can find more of Tapio’s puzzles on his new blog.

Rules: Standard Fillomino rules.

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 8th row.

Time Standards (highlight to view): Grandmaster = 1:45, Master = 2:45, Expert = 5:30

Solution: PDF

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