It seems amazing that Sagittarius A, a black hole, lies at the center of our galaxy, so one may wonder where Takeya Saikachi’s design breaks apart from other unusual stellar possibilities.

PDF

or solve online (using our beta test of Penpa-Edit tools with Double Minesweeper mines standing for stars. Left clicking a cell places a star, left clicking a cell again places a second star. Right clicking a cell marks it empty with a cross, right clicking between cells places a dot for notation.)

Author/Opus: This is the 36th puzzle from our contributing puzzlemaster Takeya Saikachi.

Rules: Variation of Star Battle rules. There are three stars per row, column, and region. Cells with stars can contain either 1 or 2 stars, but stars can still not be placed in adjacent cells that share an edge or corner.

Difficulty: 3 stars

Time Standards (highlight to view): Grandmaster = 4:15, Master = 5:15, Expert = 10:30

Solution: PDF and solving animation.

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Season 2 Preview Week Discussion post on the GMPuzzles Discord. Not a member of the Discord? Click this link for basic access and check subscriber instructions for role-related access.

Since we, as solvers, prefer to focus on the small regions of a Star Battle, Serkan Yürekli’s grid may allow us to continue thinking that way as we look for the hidden doubles.

PDF

or solve online (using our beta test of Penpa-Edit tools with Double Minesweeper mines standing for stars. Left clicking a cell places a star, left clicking a cell again places a second star. Right clicking a cell marks it empty with a cross, right clicking between cells places a dot for notation.)

Author/Opus: This is the 422nd puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Star Battle rules. There are three stars per row, column, and region. Cells with stars can contain either 1 or 2 stars, but stars can still not be placed in adjacent cells that share an edge or corner.

Difficulty: 2 stars

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

Solution: PDF and solving animation.

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Season 2 Preview Week Discussion post on the GMPuzzles Discord. Not a member of the Discord? Click this link for basic access and check subscriber instructions for role-related access.

PDF

or solve online (using our beta test of Penpa-Edit tools; in composite Star Battle mode a left click places a star, right click in a cell marks off the cell, and a right click on an edge or vertex marks in a dot as a placement note.)

Theme: Hooks

Author/Opus: This is the 389th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Fill some cells with stars so that each row (in a horizontal or either of two diagonal directions) and bold region contains the indicated number of stars. Stars cannot be placed in adjacent cells that share an edge.

Difficulty: 1.5 stars

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

Solution: PDF and solving video.

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collections Intro to GMPuzzles by Serkan Yürekli and Starter Pack 5: Star Battle by JinHoo Ahn.

PDF

or solve online (using our beta test of Penpa-Edit tools; in composite Star Battle mode a left click places a star, right click in a cell marks off the cell, and a right click on an edge or vertex marks in a dot as a placement note.)

Theme: Parallelograms

Author/Opus: This is the 48th puzzle from our contributing puzzlemaster JinHoo Ahn.

Rules: Fill some cells with stars so that each row (in a horizontal or either of two diagonal directions) and bold region contains the indicated number of stars. Stars cannot be placed in adjacent cells that share an edge.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:50, Master = 1:30, Expert = 3:00

Solution: PDF and solving video.

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collections Intro to GMPuzzles by Serkan Yürekli and Starter Pack 5: Star Battle by JinHoo Ahn.

PDF

or solve online (using our beta test of Penpa-Edit tools; in composite Star Battle mode a left click places a star, right click in a cell marks off the cell, and a right click on an edge or corner marks in a dot as a placement note.)

Theme: Parquet

Author/Opus: This is the 41st puzzle from our contributing puzzlemaster JinHoo Ahn.

Rules: Standard Star Battle rules. Two stars per row, column, and region. Also, the arrow clues indicate all the directions (up, down, left, and right) where the nearest stars are located when looking from that square.

See also this example:

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 3:00, Master = 4:15, Expert = 8:30

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

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collection Intro to GMPuzzles 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.

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.

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.

This year, we started posting some extra difficult Sunday Stumpers, about once a month. These will be quite tough puzzles, but with a logical path to be found (and solution videos to help). This ninth Sunday Stumper is a new Star Battle variation from puzzlemaster Murat Can Tonta; more of this variant will be in our upcoming Star Battle 2 e-book from JinHoo Ahn and Murat Can Tonta.

PDF

(view directly for a larger image)

or solve online (using our beta test of Penpa-Edit tools where a single star in gray means two stars but the standard Star Battle interface is used; if you prefer seeing 1 versus 2 objects, here is an alternate formatting using mines that allows for that.)

Theme: Stars

Author/Opus: This is the 208th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Star Battle rules with three stars per row, column, and region. Also, there are some shaded cells in the grid and those cells either contain two stars or none. (In a gray cell with two stars, none of the adjacent cells sharing an edge or corner can have any stars.)

See also this example:

Difficulty: 5 stars

Time Standards (highlight to view): Grandmaster = 10:30, Master = 23:30, Expert = 47:00

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

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

PDF

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

Author/Opus: This is the 332nd puzzle from our managing editor Serkan Yürekli.

Rules: Standard Slitherlink rules. Also, each row and column must contain exactly two stars (one in the example). Stars cannot touch each other, even diagonally, and all stars must be inside the loop. Stars cannot be placed in the numbered cells.

See also this example:

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 7:00, Master = 14:15, Expert = 28:30

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

Note: Follow this link for classic Slitherlink and this link for Slitherlink variations. 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 The Art of Puzzles, Slitherlink and Variations, and our beginner-friendly book Logic Puzzles 101.

(view directly for a larger image)

PDF

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

Theme: HEX Week

Author/Opus: This is the 25th puzzle from guest contributor Joseph Howard.

Rules: Fill some cells with stars so that each row (in a horizontal or either of two diagonal directions) and bold region contains the indicated number of stars. Stars cannot be placed in adjacent cells that share an edge.

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 5:15, Master = 9:45, Expert = 19:30

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

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. 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, in the books Star Battle by JinHoo Ahn and Star Battle 2 by JinHoo Ahn and Murat Can Tonta, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.