Archive for the ‘Variation’ Category:

Tight Fit (Unique) Sudoku by Serkan Yürekli

Tight Fit Sudoku by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between Sudoku = big entries and Number candidate = small entries in the corners of cells.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 240th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Standard Tight Fit Sudoku rules (in all slashed cells, a smaller digit must be placed above a larger digit). In this variation, all of the slashed cells must also have a unique pair of digits inside them.

Answer String: Enter the 3rd row from left to right, followed by a comma, followed by the 6th row from left to right. (Note: for the tight fit cells, enter the top before the bottom as would be normal for the read order.)

Time Standards (highlight to view): Grandmaster = 4:00, Master = 6:00, Expert = 12:00

Solution: PDF

Note: Follow this link for other Tight Fit Sudoku puzzles on this website. If you are new to this puzzle type, here are our easiest Tight Fit Sudoku to get started on. More Tight Fit Sudoku can be found in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli and in The Art of Sudoku 2.

Star Battle Sudoku by Thomas Snyder

Star Battle Sudoku by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools; use the tab key to alternate between a Star Battle placement option and a Sudoku number entry option)

Theme: Christmas Tree

Author/Opus: This is the 331st puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Classic Sudoku rules, with the digits 1-7 and two stars to be placed in each row, column, and bold region. As in Star Battle puzzles, the stars cannot be placed in adjacent cells that share an edge or corner.

Answer String: Enter the 5th row from left to right, followed by a comma, followed by the 9th row from left to right. Enter a capital letter X for any cell with a star in it.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 4:30, Expert = 9:00

Solution: PDF

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

Additional Note: This puzzle has been featured by the Cracking The Cryptic channel on Youtube.

Spiral Galaxies by Grant Fikes

Spiral Galaxies by Grant Fikes

(view directly for a larger image)

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: Something Meta?

Author/Opus: This is the 289th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Spiral Galaxies rules (treat white and black circles the same when solving). After completing the grid, there is a secret message to find.

Answer String: Enter the hidden word in ALL CAPITAL LETTERS.

Time Standards (highlight to view): Grandmaster = 20:00, Master = 30:00, Expert = 60:00

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 can be found in The Art of Puzzles 2.

Galactic Fillomino by Carl Worth

Galactic Fillomino 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: Clue Symmetry and Logic

Author/Opus: This is the 36th puzzle from our contributing puzzlemaster Carl Worth.

Rules: Combination of Spiral Galaxies and Fillomino rules. Divide the grid along the dotted lines into regions, each of which must contain either exactly one circle, or one or more identical given numbers. (Note that there are no “hidden polyominoes” in this puzzle meaning there are no regions without a given number or a given circle.) Each region containing a circle is a “galaxy” and must have rotational symmetry with the circle at its center. Each region with given numbers must be the same size in cells as those numbers. Two regions with numbers of the same size cannot share an edge, but a region with numbers and a region with a circle in it can be the same size.

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

Time Standards (highlight to view): Grandmaster = 7:00, Master = 13:45, Expert = 27:30

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 can be found in The Art of Puzzles 2.

Spiral Galaxies (Norinori) by Grant Fikes

Spiral Galaxies by Grant Fikes

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: Logical

Author/Opus: This is the 287th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Spiral Galaxies rules. Then shade some dominoes (two-cell connected blocks) so that no two dominoes share an edge and so that every “galaxy” in the solved puzzle contains exactly two shaded cells.

Answer String: Enter the total number of horizontal dominoes (i.e., dominoes with two cells in the same row) in each row, starting at the top and proceeding to the bottom.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 6:30, Expert = 13:00

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 can be found in The Art of Puzzles 2.

Skyscrapers (with Sum Baskets) by Palmer Mebane

Skyscrapers (with Sum Baskets) by Palmer Mebane

PDF

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

Theme: Fours and Fives

Author/Opus: This is the 48th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Standard Skyscrapers rules (using digits 1 to 7). Also, there are some regions (”Sum baskets”) in the grid marked by dashed lines. The sum of the buildings in these sum baskets is given. Building heights can repeat within a basket.

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 7th row from left to right.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 6:30, Expert = 13:00

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.

Inner Coral by Palmer Mebane

Inner Coral by Palmer Mebane

PDF

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

Theme: Clue Symmetry and Logic

Author/Opus: This is the 47th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Shade some empty cells black to create a single connected wall (the “Coral”). The shaded cells cannot form a 2×2 square anywhere in the grid, and all unshaded cells including clue cells must be connected to an edge of the grid. Clues in the gray cells indicate the lengths of the first shaded segments visible from this cell in all four directions (clues are given in ascending order). [For clarity, when considering the “first shaded segment” in a direction, gray cells see through all empty and gray cells to the edge of the grid when finding this segment, if any.]

Also see this example:

Inner Coral Example by Thomas Snyder

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 = 4:30, Master = 8:00, Expert = 16:00

Solution: PDF; a solution video is also available here.

Editorial Note: Many solvers can confuse Coral with another puzzle type with similar spelling. An easy way to remember the difference is that Cave has no R’s and also has no 2×2 Region constraint. Coral puzzles, with an R, do have this region constraint. The other general rules (about not enclosing white spaces and having a single shaded group) are shared between Cave and Coral puzzles.

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 46th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Skyscrapers. Insert a digit from 1 to 5 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 1st row from left to right, followed by a comma, followed by the 6th row from left to right. Ignore the cells with the mirrors when entering the solution (i.e., just enter cells with digits 1-5).

Time Standards (highlight to view): Grandmaster = 4:45, Master = 7:00, Expert = 14:00

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 (Battleships) by Palmer Mebane

Skyscrapers (Battleships) by Palmer Mebane

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: Logical

Author/Opus: This is the 45th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Combination of Skyscrapers and Battleships. Place the indicated fleet into the grid so that no different ships are in cells that share an edge or corner. The size of the ship represents its height as in a Skyscrapers puzzle, and the clues outside the grid indicate how many ships are visible in that direction. Ships block the view of any ship of equal or smaller size behind them.

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 = 3:45, Master = 8:00, Expert = 16:00

Solution: PDF

Note: Follow this link for classic Skyscrapers puzzles and this link for more classic Battleships puzzles.

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: All For One, …

Author/Opus: This is the 44th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Variation of Skyscrapers. Insert a digit from 1 to 5 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 3rd row from left to right, followed by a comma, followed by the 5th row from left to right. Use the slash characters / or \ to enter the mirrors.

Time Standards (highlight to view): Grandmaster = 2:45, Master = 6:00, Expert = 12:00

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.