Archive for the ‘Region Division’ Category:

Slash Pack by Murat Can Tonta

Slash Pack by Murat Can Tonta

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

Theme: Logical? Did you notice anything interesting in the solution?

Author/Opus: This is the 30th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Divide the grid into regions by adding diagonals into empty cells. Two diagonals cannot cross in one cell, and there can be no loose ends. Each region must contain the numbers 1 to 4 exactly once (1 to 3 in the example).

Slash Pack by Murat Can Tonta

Answer String: Using ‘-’ for an empty cell and ‘\’ and ‘/’ for the two diagonals, enter the contents of each cell in the marked rows from left to right. Separating each row’s entry with a comma. The example has the answer “-\/\-,-/-/-”.

Time Standards (highlight to view): Grandmaster = 2:15, Master = 3:15, Expert = 6:30

Solution: PDF

Cave by Murat Can Tonta

Cave by Murat Can Tonta

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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 28th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Cave rules.

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 = 1:50, Master = 3:00, Expert = 6:00

Solution: PDF

Note: Follow this link for other classic Caves. If you are new to this puzzle type, here are our easiest Cave Puzzles to get started on.

Fillomino by Murat Can Tonta

Fillomino by Murat Can Tonta

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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 number entry mode.)

Theme: 0, 1, 2, 3

Author/Opus: This is the 22nd puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Fillomino rules.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 1st row, followed by a comma, followed by the 6th row.

Time Standards (highlight to view): Grandmaster = 3:00, Master = 3:45, Expert = 7:30

Solution: PDF

Note: Follow this link for other classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Cave by Murat Can Tonta

Cave by Murat Can Tonta

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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: Low Numbers

Author/Opus: This is the 21st puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Cave rules.

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 = 2:30, Master = 3:30, Expert = 7:00

Solution: PDF

Note: Follow this link for other classic Caves. If you are new to this puzzle type, here are our easiest Cave Puzzles to get started on.

Cave by Grant Fikes

Cave by Grant Fikes

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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: Dominoes

Author/Opus: This is the 185th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Cave rules.

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 = 1:00, Master = 1:30, Expert = 3:00

Solution: PDF

Note: Follow this link for other classic Caves. If you are new to this puzzle type, here are our easiest Cave Puzzles to get started on.

Sunday Surprise: 100th Puzzle Spectacular by Prasanna Seshadri

100th Puzzle Spectacular by Prasanna Seshadri

(View image directly for larger form.)

(After solving the puzzle (or before, if you desire) look at this additional image for another challenge.)

PDF

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. Note that the default puzzle info is too long — even for an url shortener — so copy and paste all the text in this file into the “Load” option in the upper-right of the penpa-edit interface to access. You can then also open a new tab and copy in all this file for the final additional challenge.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 100th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: This puzzle combines styles that involve shading cells. All rules are standard for the given puzzle types (Tapa, Light and Shadow, Nurikabe, Kurotto, and Cave) which appear in the indicated spots of the grid (see below).

Tapa: Shade some empty cells black to create a single connected wall. 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, and the shaded cells cannot form a 2×2 square anywhere in the grid.

Light and Shadow: Divide the grid into shaded and unshaded regions, each containing exactly one number and with an area equal to that number. Numbers in white cells are part of white regions; numbers in shaded cells are part of shaded regions. Same colored regions cannot share an edge.

Nurikabe: Shade some empty cells black so that the grid is divided into white areas, each containing exactly one number and with the same area in cells as that number. Two white areas may only touch diagonally. All black cells must be connected with each other, but no 2×2 group of cells can be entirely shaded black.

Kurotto: Shade some cells so that each circled number represents the total count of shaded cells in connected groups sharing an edge with that number. Cells with circles cannot be shaded.

Cave: (The inside of the cave with the numbered cells is shaded here!) Shade some cells to form a single connected group — the cave — with no enclosed, unshaded cells. In other words, all unshaded cells must be connected by other unshaded cells to an edge of the grid. All numbered cells must be a part of the cave, with each number indicating the total count of cells connected vertically and horizontally to the numbered cell including the cell itself.

Additionally, there are two diamonds made out of cells in each grid. Each cell in the smaller diamond corresponds to two cells in the same position in the larger diamond (see example below). The corresponding cells must differ in their shading (i.e., if a cell in the smaller diamond is shaded, both corresponding cells in the larger diamond are unshaded; if a cell in the smaller diamond is unshaded, both corresponding cells in the larger diamond are shaded).

Answer String: Enter the answer to the additional challenge in ALL CAPITAL LETTERS (no spaces)

Time Standards (highlight to view): Grandmaster = 25:00, Master = 32:30, Expert = 1:05:00

Solution: PDF

Fillomino by Grant Fikes

Fillomino by Grant Fikes

(View image directly for larger form.)

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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 number entry mode.)

Theme: 2 × 2 × 20

Author/Opus: This is the 184th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Fillomino rules.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 15th row, followed by a comma, followed by the 10th column.

Time Standards (highlight to view): Grandmaster = 5:45, Master = 7:45, Expert = 15:30

Solution: PDF

Note: Follow this link for other classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Fillomino by Grant Fikes

Fillomino 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 number entry mode.)

Theme: Shutter

Author/Opus: This is the 183rd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Fillomino rules.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 5th column, followed by a comma, followed by the 7th column.

Time Standards (highlight to view): Grandmaster = 2:15, Master = 3:00, Expert = 6:00

Solution: PDF

Note: Follow this link for other classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Fillomino by Grant Fikes

Fillomino 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 number entry mode.)

Theme: 2 × 2 × 8

Author/Opus: This is the 182nd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Fillomino rules.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 6th row, followed by a comma, followed by the 10th row.

Time Standards (highlight to view): Grandmaster = 1:15, Master = 2:00, Expert = 4:00

Solution: PDF

Note: Follow this link for other classic Fillomino. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

[Extra] Cave by Thomas Snyder

Cave by Thomas Snyder

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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 (Written for 2015 Puzzle Grand Prix Finals)

Author/Opus: This is the 229th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Cave rules.

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 = 4:45, Master = 8:00, Expert = 16:00

Solution: PDF

Note: Follow this link for other classic Caves. If you are new to this puzzle type, here are our easiest Cave Puzzles to get started on.