Archive for the ‘Other Region Division’ Category:

Heavy Dots by Prasanna Seshadri

Heavy Dots by Prasanna Seshadri

PDF

or solve online (using our beta test of Penpa-Edit tools in a composite mode for line/edge drawing.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 22nd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Draw vertical/horizontal lines between dots to divide the grid into regions. A region may contain at most one number, equal to the area of the region. No region may cover a 2×2 area. Some dots are “heavy” and have 3 or 4 lines connected to them. Black circles indicate heavy dots with exactly three lines; white circles indicate heavy dots with four lines. Not all heavy dots are given, but there can be no heavy dots orthogonally adjacent to the indicated ones. In other words, there may be only 2 lines from any unmarked dot adjacent to a white/black circle (these dots are gray in the example).

Heavy Dots example by Prasanna Seshadri

Answer String: Enter the length of groups of white cells in the same area in the marked rows. For this example, the answer is “11212, 1132”

Time Standards (highlight to view): Grandmaster = 8:30, Master = 14:00, Expert = 28:00

Solution: PDF; a solution video is available here.

Note: This is a new puzzle style, so it is recommended to carefully review and solve the example first to get used to the thinking and all the rules.

Dominion by Serkan Yürekli

Dominion by Serkan Yürekli

PDF

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

Theme: C Sharp

Author/Opus: This is the 43rd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Shade some empty cells black to form a set of dominoes (1×2 rectangles) that divides the grid into white regions; the dominoes cannot overlap or share an edge. Each region must contain exactly one type of given letter, and must also contain all instances of that letter (i.e. there cannot be two regions that contain C). See also this example:

Dominion by Serkan Yürekli

Answer String: Enter the length of the unshaded segments in order in the marked rows/columns. Separate the groups with a comma. For this example, the answer is “25,132”

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

Solution: PDF

Negative Tetromino by Serkan Yürekli

Negative Tetromino by Serkan Yürekli

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or solve online (using our beta test of Penpa-Edit tools in a composite mode for line/edge drawing)

Theme: Words

Author/Opus: This is the 36th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Divide the white cells into tetrominoes so that no two regions sharing an edge are the same tetromino (L, I, O, S, or T considering rotation and reflection). Regions may contain at most 1 cell with given letters; regions with such a cell CANNOT have the same tetromino shape as any of the letters in that cell. Also, see this example:

Negative Tetromino by Serkan Yürekli

Answer String: Enter the letter of the tetromino region for each cell in the two marked rows from left to right, separating the rows with a comma. Use CAPITAL LETTERS for L, I, O, S, and T.

Time Standards (highlight to view): Grandmaster = 1:15, Master = 2:30, Expert = 5:00

Solution: PDF

The Puzzle Robot #22 – Pentomino Puddles

Pentomino Puddles by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools in a composite mode for line/edge drawing)

Theme: Grandmaster Puzzles (GMP in the shapes)

Rules: Divide each of the three shapes into four pentominoes so that all 12 pentominoes are present exactly once across the three shapes. An inventory of pentominoes is given below the puzzle; rotations and reflections of these shapes are allowed.

Answer String: Enter the capital letters for the pentominoes sitting in each cell along the indicated long row. Enter as a single string of 14 characters.

Time Standards (highlight to view): Grandmaster = 2:30, Master = 5:30, Expert = 11:00

Solution: PDF