Archive for the ‘Variation’ Category:

SkyTomTom by Thomas Snyder

See more discussion of the puzzles from the United States’ 2021 Puzzle Grand Prix on this post. Note there are some construction details and potential spoilers on that post so view it after you solve.

TomTom by Thomas Snyder

PDF

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

Author/Opus: This is the 407th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Skyscrapers rules; also standard TomTom rules. Use the integers 1-7.

Difficulty: 3 stars (estimate based off competition points; timing standards not available from our usual testers)

Solution: PDF

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. Follow this link for classic TomTom and this link for TomTom variations.

Star Battleships by Thomas Snyder

See more discussion of the puzzles from the United States’ 2021 Puzzle Grand Prix on this post. Note there are some construction details and potential spoilers on that post so view it after you solve.

Battleships by Thomas Snyder

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.)

Author/Opus: This is the 404th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Variation of Battleships rules; only two ship segments can belong in each marked region.

Difficulty: 2.5 stars (estimate based off competition points; timing standards not available from our usual testers)

Solution: PDF

Note: Follow this link for classic Battleships and this link for Battleships variations. If you are new to this puzzle type, here are our easiest Battleships to get started on. More Battleships puzzles can be found in Battleships and Variations, in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Pentominous (Spiral Galaxies) by Serkan Yürekli

See more discussion of the puzzles from the United States’ 2021 Puzzle Grand Prix on this post. Note there are some construction details and potential spoilers on that post so view it after you solve.

Pentominous by Serkan Yürekli

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.)

Author/Opus: This is the 353rd puzzle from our managing editor Serkan Yürekli.

Rules: Standard Pentominous rules. Also, some circle clues are given in the grid which must be at the center of symmetry for a rotationally-symmetric pentomino shape.

Difficulty: 2.5 stars (estimate based off competition points; timing standards not available from our usual testers)

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. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

LITS (Tapa) by Serkan Yürekli

See more discussion of the puzzles from the United States’ 2021 Puzzle Grand Prix on this post. Note there are some construction details and potential spoilers on that post so view it after you solve.

LITS (Tapa) by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and 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.)

Author/Opus: This is the 350th puzzle from our managing editor Serkan Yürekli.

Rules: Standard LITS rules: Shade exactly four connected cells in each outlined region, to form an L, I, T, or S tetromino, so that the following conditions are true: (1) All shaded cells are connected with each other; (2) No 2×2 group of cells can be entirely shaded black; (3) When two tetrominoes in adjacent regions share an edge, they must not be of the same type (L, I, T, or S), regardless of rotations or reflections.

Also, the number clues follow standard Tapa rules: Numbers in a cell indicate the length of consecutive shaded blocks in the neighboring cells. If there is more than one number in a cell, then there must be at least one white (unshaded) cell between the black cell groups. Cells with numbers cannot be shaded.

Difficulty: 1.5 stars (estimate based off competition points; timing standards not available from our usual testers)

Solution: PDF

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

Yajilin (Castle Wall) by Thomas Snyder

See more discussion of the puzzles from the United States’ 2021 Puzzle Grand Prix on this post. Note there are some construction details and potential spoilers on that post so view it after you solve.

Yajilin (Castle Wall) by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools using a composite mode where left click inside cell shades square, left click + drag draws line segment, right click inside cell adds dot, and right click on cell edge adds an x.)

Author/Opus: This is the 401st* puzzle from Thomas Snyder, aka Dr. Sudoku (*the 400th puzzle opus number is being held for an upcoming post).

Rules: Standard Yajilin rules: Blacken some white cells and then draw a single closed loop (without intersections or crossings) through all remaining white cells. Blackened cells cannot share an edge with each other. Some cells are outlined and in gray and cannot be part of the loop. Numbered arrows in such cells indicate the total number of blackened cells that exist in that direction in the grid.

Also, in addition to the usual gray clues, some clues are white and black and act similarly to Castle Wall clues. White clues must be inside the loop and black clues must be outside the loop. White and black clues indicate the sum of the lengths of loop segments in the indicated direction.

Difficulty: 2.5 stars (estimate based off competition points; timing standards not available from our usual testers)

Solution: PDF

Note: Follow this link for classic Yajilin and this link for Yajilin variations. Follow this link for more Castle Wall puzzles.

Pentominous (Star Battle) by Grant Fikes

Pentominous (Star Battle) 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, a letter entry mode, and shading / shape entry modes depending on how you want to mark the stars.)

Author/Opus: This is the 360th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Combination of Pentominous and Star Battle. Place stars into some cells so that there are two stars in each row and column; no two stars can touch, even diagonally. Then divide the rest of the grid into 16 regions each containing 5 cells. Regions with the same shape (including rotations/reflections) cannot share an edge. A cell with a letter in it must be part of the pentomino shape normally associated with that letter; an inventory of pentominoes is given below the puzzle.

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 5:30, Master = 10:15, Expert = 20:30

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

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. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Pentominous (Cipher) by Takeya Saikachi

Pentominous (Cipher) by Takeya Saikachi

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: Triplets

Author/Opus: This is the 11th puzzle from guest contributor Takeya Saikachi.

Rules: Variation of Pentominous rules. Divide the grid into 20 pentominoes so that no two pentominoes of the same shape (including rotations/reflections) share an edge. Each number in this grid represents a clue for a different letter/pentomino as in a regular Pentominous puzzle; all instances of a number must represent the same letter. An inventory of possible pentominoes is given below the puzzle.

Difficulty: 3 stars

Time Standards (highlight to view): Grandmaster = 3:15, Master = 5:00, Expert = 10:00

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

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. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Pentominous (Borders) by Serkan Yürekli

Pentominous by Serkan Yürekli

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: 2022

Author/Opus: This is the 346th puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Pentominous rules. Some borders between pentominoes are already drawn.

Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 1:45, Master = 2:30, Expert = 5:00

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

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. More Pentominous puzzles can be found in the Plenty o’ Pentominous series by Grant Fikes and Murat Can Tonta and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Pentominonogram by Elyot Grant

Pentominonogram by Elyot Grant

PDF

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

Theme: 7-L

Author/Opus: This is the 4th puzzle from guest contributor Elyot Grant.

Rules: Shade some cells so that the numbers outside the grid indicate the groups of consecutive black cells which are in that row/column in order, either from left to right or from top to bottom. There must be at least one white cell between any consecutive shaded groups. Rows and columns without outside clues can have any pattern of shaded and unshaded cells. Also, all the shaded cells must be able to be split into the seven given pentomino shapes. Pentominoes may be flipped and/or rotated.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 1:00, Master = 2:00, Expert = 4:00

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

Note: Follow this link for other less common Shading puzzles.

Minesweeper (Pentomino) by Murat Can Tonta

Minesweeper (Pentomino) by Murat Can Tonta

PDF

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

Theme: 4×4×4

Author/Opus: This is the 216th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Place some of the given pentominoes into the grid, rotations and reflections allowed, but without repeats of any shape. Pentominoes cannot cover the numbered cells, and different pentomino shapes cannot be placed in adjacent cells that share an edge or corner. Numbered cells indicate how many of the surrounding cells (including diagonally adjacent cells) contain parts of the pentominoes.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 1:00, Master = 2:00, Expert = 4:00

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

Note: Follow this link for classic Minesweeper puzzles on this website and this link for variations on Minesweeper puzzles. If you are new to this puzzle type, here are our easiest Minesweeper Puzzles to get started on. More Minesweeper puzzles can be found in The Art of Puzzles 2.