### TomTom (Combo Variation) by Carl Worth

PDF

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.

### Pentominous by Carl Worth [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.

Theme: Letter Diagonals

Author/Opus: This is the 28th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard Pentominous rules.

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

Time Standards (highlight to view): Grandmaster = 5:00, Master = 7:15, Expert = 14:30

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.

### Star Battle by Carl Worth

PDF

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

Theme: GP (Grandmaster Puzzles)

Author/Opus: This is the 27th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard Star Battle rules. Two stars per row, column, and region.

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 = 1:30, Master = 2:15, Expert = 4:30

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.

### Fillomino (Primes) by Carl Worth

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: Primes (for Daniel Cohen)

Author/Opus: This is the 26th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard Fillomino rules, except that the size of all regions must be a prime number (2, 3, 5, 7, …).

Answer String: For each cell in the marked columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 4th column, followed by a comma, followed by the 8th column.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 8:00, Expert = 16:00

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 Spiral Galaxies by Carl Worth

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 shading mode.)

Theme: Double Spiral Galaxy (the pattern of galaxies is a double spiral as shown here)

Author/Opus: This is the 25th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Variation of Spiral Galaxies. In addition to the standard rules, some circles are shaded gray and must belong to galaxies containing two gray circles, not one, with the circles in rotationally symmetric spots for those galaxies.

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. Separate each row’s entry from the next with a comma. The example has the answer “52,11131”.

Time Standards (highlight to view): Grandmaster = 10:30, Master = 17:00, Expert = 34:00

Solution: PDF

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 will soon be found in The Art of Puzzles 2.

### Starship Battle by Carl Worth

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between ship placement and shading modes. In ship placement mode, right click gives sea, left click gives circle/square, left click and drag for rounded ships.)

Theme: One-sided Battle

Author/Opus: This is the 24th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Combination of Battleships and Star Battle. Follow standard Battleships rules. Also, exactly one ship segment is present in each bold region.

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 = 5:30, Master = 10:30, Expert = 21:00

Solution: PDF; a solution video is available here.

### Snake Pit by Carl Worth

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: Nest of Snakes

Author/Opus: This is the 23rd puzzle from our contributing puzzlemaster Carl Worth.

Rules: (Hybrid of Fillomino and Snake Puzzles.) 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. Numbered cells must be part of a snake with a length of exactly that number of cells. A snake may contain one number, multiple identical numbers, or no numbers at all. Two snakes of the same length cannot touch each other horizontally or vertically.

Also see this example:

Answer String: For each cell in the marked rows/columns, enter the length of the snake it belongs to. Enter just the last digit for any two-digit number. This example has the key “35522,44462”.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 5:45, Expert = 11:30

Solution: PDF

### LITS by Carl Worth [Bonus]

Our subscribers receive access to bonus puzzles each week. 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, click here for more info.

Theme: Pentominoes

Author/Opus: This is the 22nd puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard LITS rules.

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 = 4:00, Master = 7:15, Expert = 14:30

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

### Masyu or Balance Loop? by Carl Worth

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Theme: Almost Antisymmetric

Author/Opus: This is the 21st puzzle from our contributing puzzlemaster Carl Worth.

Rules: Combination of Masyu and Balance Loop rules. In each horizontal row, all the circles obey the same rules, which are Masyu rules or Balance Loop rules. You must determine what rule applies to each row in order to form the single loop that solves the puzzle.

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.

Time Standards (highlight to view): Grandmaster = 7:00, Master = 9:30, Expert = 19:00

Solution: PDF; a solution video is available here.

### Pentominous by Carl Worth

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: Just One (in Roman Numerals)

Author/Opus: This is the 20th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Standard Pentominous rules.

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

Time Standards (highlight to view): Grandmaster = 5:45, Master = 7:45, Expert = 15:30

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.