TomTom (Combo Variation) by Carl Worth

TomTom by Carl Worth

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

Theme: Logical

Author/Opus: This is the 29th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard TomTom rules, except that fractional values are allowed as clues. Also, some cages have multiple operations. These cages must have the same value when operated on by either operation (e.g., a +× cage could contain 123 because 1+2+3 = 1×2×3). This puzzle uses the integers 1-5.

Answer String: Enter the 3rd row from left to right followed by the 5th row from left to right. Separate all rows with a comma.

Time Standards (highlight to view): Grandmaster = 1:45, Master = 3:30, Expert = 7:00

Solution: PDF

Note: Follow this link for variations of TomTom and this link for more classic 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.

TomTom (No Touch) by Dan Katz

TomTom by Dan Katz

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

Theme: Four Exits

Author/Opus: This is the 5th puzzle from guest contributor Dan Katz.

Rules: Standard TomTom rules, using the integers 1-6. Also, identical digits cannot be in diagonally adjacent cells.

Answer String: Enter the 2nd row from left to right followed by the 4th row from left to right. Separate all rows with a comma.

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

Solution: PDF

Note: Follow this link for variations of TomTom and this link for more classic 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.

Tapa (Twopa) by Prasanna Seshadri

Tapa by Prasanna Seshadri

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or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode, 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, and a number entry mode for the answer check.)

Theme: Nine Clues

Author/Opus: This is the 157th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Variation of Tapa. There are two grids to solve simultaneously; each number clue must have a different arrangement of shaded cells in its eight neighboring cells from its counterpart clue in the other grid.

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. For entry purposes, the “A/B/C” grid is the grid with the longer entry for its first row. (The “D/E/F” grid has the shorter entry for its first row.)

Time Standards (highlight to view): Grandmaster = 6:00, Master = 7:30, Expert = 15:00

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.

Fillomino (Cipher) by John Bulten

Fillomino by John Bulten

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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 number entry mode.)

Theme: A Novelty Against the French Defense

Author/Opus: This is the 35th puzzle from our contributing puzzlemaster John Bulten.

Rules: Standard Fillomino rules. Also, each letter represents a different positive integer.

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 7th row. (For this puzzle, use the integer values of the area, not the encoded letters.)

Time Standards (highlight to view): Grandmaster = 4:30, Master = 7:15, Expert = 14:30

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles and in Fill o’ Fillomino by Grant Fikes.

Double Kakuro by Grant Fikes

Kakuro by Grant Fikes

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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 the entry checked in the center of the 2×2 cells is here.)

Theme: Nine Squares

Author/Opus: This is the 253rd puzzle from our contributing puzzlemaster Grant Fikes.

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 columns from top to bottom, separating the groups with a comma.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 3:45, Expert = 7:30

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 be featured in the upcoming The Art of Puzzles 2.

Star Battle (Builder) by Murat Can Tonta

Star Battle by Murat Can Tonta

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Theme: JOIN ME

Author/Opus: This is the 80th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Star Battle rules with two stars per row, column, and region. Also, some region boundaries are missing, but all given borders must separate cells in different regions.

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 = 6:30, Master = 12:00, Expert = 24:00

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. More Star Battle puzzles can be found in The Art of Puzzles.

Slitherlink by Serkan Yürekli

Slitherlink by Serkan Yürekli

(view directly for a larger image)

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Theme: Road Trip across America

Author/Opus: This is the 173rd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Standard Slitherlink rules, on an irregular grid that can only follow the lines. Ignore the gray letters while solving.

Answer String: Enter the values (number of fences) for the light letters A-G in order.

Time Standards (highlight to view): Grandmaster = 7:45, Master = 12:00, Expert = 24:00

Solution: PDF

Note: Follow this link for other classic Slitherlink. If you are new to this puzzle type, here are our easiest Slitherlink puzzles to get started on. More Slitherlink puzzles can be found in our books The Art of Puzzles and Slitherlink and Variations.

Pentominous (Radar) by Joseph Howard

Pentominous (Radar) by Joseph Howard

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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 letter entry mode.)

Theme: Square Numbers

Author/Opus: This is the 7th puzzle from guest contributor Joseph Howard.

Rules: Standard Pentominous rules. Additionally, there are some gray cells that do not contain any pentominoes. The numbers in these gray cells indicate how many pentomino regions are present in the 8 neighboring cells.

Answer String: Enter the letter associated with the pentomino occupying each cell in the marked columns from top to bottom, separating the two columns by a comma. Use CAPITAL LETTERS!

Time Standards (highlight to view): Grandmaster = 6:30, Master = 8:15, Expert = 16:30

Solution: PDF

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

Snake Pit (Words) by Joseph Howard

Snake Pit by Joseph Howard

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or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between letter entry and a composite mode for line/edge drawing.)

Theme: Snakes in a Bee Hive

Author/Opus: This is the 6th puzzle from guest contributor Joseph Howard.

Rules: Variation on Snake Pit (new rules in italics). Divide the grid along the boundary lines so that every cell belongs to a snake. A snake is a one-cell-wide path at least two cells long that does not touch itself, not even diagonally. Circled cells must be at one of the ends of a snake. A snake may contain one circled cell, two circled cells, or no circled cells at all. Each snake houses a word (given below the grid) with one letter in each cell. Some letters are given. Snakes of the same length cannot touch each other horizontally or vertically.

Also see this example:

Snake Pit

Answer String: Enter the letter placed in each cell in the marked rows from left to right, separating the two rows by a comma. Use CAPITAL LETTERS!

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

Solution: PDF

Note: Follow this link for other Snake puzzles.

Pentominous (Radar) by Joseph Howard

Pentominous (Radar) by Joseph Howard

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 letter entry mode.)

Theme: Logical

Author/Opus: This is the 4th puzzle from guest contributor Joseph Howard.

Rules: Standard Pentominous rules. Additionally, there are some gray cells that do not contain any pentominoes. The numbers in these gray cells indicate how many pentomino regions are present in the 8 neighboring cells.

Answer String: Enter the letter associated with the pentomino occupying each cell in the marked row from left to right, followed by a comma, followed by the marked column from top to bottom. Use CAPITAL LETTERS!

Time Standards (highlight to view): Grandmaster = 3:00, Master = 4:45, Expert = 9:30

Solution: PDF

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