Archive for the ‘Variation’ Category:

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 centralized digit entry is here.)

Theme: Pattern

Author/Opus: This is the 274th 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 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 = 4:00, Master = 5:30, Expert = 11:00

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.

Statue Park (Loop) by Serkan Yürekli

Statue Park (Loop) by Serkan Yürekli

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or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the linex mode where left click+drag draws lines and right click marks X’s)

Theme: Utopic

Author/Opus: This is the 205th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Variation of Statue Park and loop puzzle rules (using a standard pentomino set).

Place each of the twelve pentominoes into the grid once, with rotations and reflections allowed. No two pentominoes can overlap or be orthogonally adjacent, and all cells not occupied by the pentominoes must be traversed by a single, closed loop (connecting cells horizontally or vertically). The black circles indicate some cells that must be covered by pentominoes, white circles indicate spaces that may not be contained in pentominoes and must be part of the loop.

Also see this example:

Statue Park (Loop) by Serkan Yürekli

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 = 7:30, Master = 11:30, Expert = 23:00

Solution: PDF

Note: Follow this link for other Statue Park Puzzles. If you are new to this puzzle type, here are our easiest Statue Parks to get started on. More Statue Park puzzles can be found in the ebook Statue Park by Murat Can Tonta.

Masyu (Deformable) by Murat Can Tonta

Masyu by Murat Can Tonta

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or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between linex mode where left click+drag draws lines and right click marks X’s and a black circle shading mode)

Theme: “You’re Surrounded!”

Author/Opus: This is the 102nd puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Masyu rules. Also, some white circles may be shaded to become black circles.

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 = 3:45, Master = 5:15, Expert = 10:30

Solution: PDF

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

Syuma by John Bulten

Syuma by John Bulten

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: Yin-Yang Swirl

Author/Opus: This is the 57th puzzle from our contributing puzzlemaster John Bulten.

Rules: Variant of Masyu rules. The loop turns in every black circle and goes straight through at least one adjacent square. The loop goes straight through every white circle and turns in both adjacent squares.

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 = 3:00, Master = 4:15, Expert = 8:30

Solution: PDF

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

Double Spiral Galaxies by John Bulten

Spiral Galaxies 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 shading mode.)

Theme: New Constellation

Author/Opus: This is the 56th puzzle from our contributing puzzlemaster John Bulten.

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.

Double Spiral Galaxies Example by Thomas Snyder

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

Time Standards (highlight to view): Grandmaster = 2:15, Master = 3:30, Expert = 7:00

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.

Formed Cave by Serkan Yürekli

Cave by Serkan Yürekli

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or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the linex mode where left click+drag draws lines and right click marks X’s)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 198th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Standard Cave rules; also, all groups of cells outside the Cave must be formed out of different arrangements of exactly five cells (i.e., different pentominoes). Pentomino shapes may be reflected or rotated, but they cannot repeat or touch each other. Not all pentominoes need to appear.

This example uses four cell regions (i.e., tetrominoes) within the same rules.

Cave by Thomas Snyder

Answer String: Enter the length in cells of each of the cave segments from left to right for the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 6:45, Master = 11:45, Expert = 23:30

Solution: PDF

Note: Follow this link for other Cave variations and this link for other classic Caves. If you are new to this puzzle type, here are our easiest Cave Puzzles to get started on. More Cave puzzles can be found in The Art of Puzzles and in Roger Barkan’s Colossal Cave Collection.

Cross the Caves by John Bulten

Cave by John Bulten

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or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the linex mode where left click+drag draws lines and right click marks X’s)

Theme: Sunken Lake

Author/Opus: This is the 54th puzzle from our contributing puzzlemaster John Bulten.

Rules: This puzzle is a combination of Cross the Streams and Cave rules (with the exception of having multiple “caves” that all connect to the edge of the grid).

Shade some empty cells black to create a single group of black cells that are all connected to each other through their edges. No 2×2 cell area within the grid contains all black cells. Numbers to the left/top of the grid represent the groups of consecutive black cells which are in that row/column in order, either from left to right or from top to bottom. A question mark (?) represents a group of consecutive black cells whose size is unknown; an asterisk (*) represents any number of unknown groups of black cells, including none at all.

All white cells must be connected via other white cells to an edge of the grid. All numbered cells inside the grid must be white and each number in these cells indicates the total count of white cells connected vertically and horizontally to the numbered cell including the cell itself.

See also this example:

Cave by Thomas Snyder

Answer String: Enter the length in cells of each of the (white) cave segments from left to right for the marked rows, starting at the top. Separate each row’s entry with a comma.

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

Solution: PDF

Note: Follow this link for other Cross the Streams. Follow this link for other Cave variations and this link for other classic Caves. If you are new to Cave puzzles, here are our easiest Cave Puzzles to get started on. More Cave puzzles can be found in The Art of Puzzles and in Roger Barkan’s Colossal Cave Collection.

Nanro (Signpost) by Thomas Snyder [Bonus]

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Nanro by Thomas Snyder

Theme: Spirals

Author/Opus: This is the 313th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Variation of Nanro.

Label some cells with numbers to form a single connected group of labeled cells. No 2×2 group of cells may be fully labeled. Each number must be equal to the total count of labeled cells in that bold region, and all bold regions contain at least one labeled cell. The given numbers indicate how many cells are labeled in that region (but not necessarily which cells are labeled). When two numbers are orthogonally adjacent across a region boundary, the numbers must be different.

Also see this example:

Nanro (Signpost) Example by Thomas Snyder

Answer String: Enter the length in cells of each of the segments labeled with numbers 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 = 4:45, Master = 7:30, Expert = 15:00

Note: Follow this link for Nanro puzzles on this website and this link for variations on Nanro puzzles. If you are new to this puzzle type, here are our easiest Nanro Puzzles to get started on. More Nanro puzzles can be found in A Number o’ Nanro by Prasanna Seshadri.

Litro by John Bulten

Litro by John Bulten

PDF

or solve online (using our beta test of Penpa-Edit tools; use the tab key to alternate between shading and number entry modes)

Theme: Pocket Puzzle

Author/Opus: This is the 52nd puzzle from our contributing puzzlemaster John Bulten.

Rules: Variation of standard Nanro rules. Besides the cells numbered 4, identical numbers in differing regions cannot touch along common borders. All “4” clues have been replaced by tetromino letters, and must be connected to form a valid LITS solution (that is, identical shapes cannot touch along common borders). In other words: the final solution, including all numbered cells and tetrominoes, is a valid Nanro solution, and just the regions with tetrominoes form a valid LITS solution.

Answer String: Enter the length in cells of each of the segments labeled with numbers 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 = 5:15, Master = 8:00, Expert = 16:00

Solution: PDF

Note: Follow this link for Nanro puzzles on this website and this link for variations on Nanro puzzles. If you are new to this puzzle type, here are our easiest Nanro Puzzles to get started on. More Nanro puzzles can be found in A Number o’ Nanro by Prasanna Seshadri.

Outside Nanro by Carl Worth

Nanro by Carl Worth

PDF

or solve online (using our beta test of Penpa-Edit tools; use the tab key to alternate between shading and number entry modes)

Theme: Bisection

Author/Opus: This is the 34th puzzle from our contributing puzzlemaster Carl Worth.

Rules: In this variation of Nanro, numbers are now given outside the grid. Each number clue represents the first number placed inside the grid in that row or column in the corresponding direction.

Answer String: Enter the length in cells of each of the segments labeled with numbers 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 = 5:00, Master = 7:30, Expert = 15:00

Solution: PDF

Note: Follow this link for Nanro puzzles on this website and this link for variations on Nanro puzzles. If you are new to this puzzle type, here are our easiest Nanro Puzzles to get started on. More Nanro puzzles can be found in A Number o’ Nanro by Prasanna Seshadri.