Puzzlerium Tour: Leeway

 

  

Rules: Shade some cells such that each region outlined in bold contains as many shaded cells as small given numbers (if any) in top-left corner of the cell indicate.

- Shaded cells form blocks of orthogonally connected cells. Each such block is comprised of two or more distinct smaller blocks that are each wholly contained in a different region, thus separated by grid borders. For each block, there can only be one sub-block per region.

- Shaded cell blocks can only touch diagonally.

- Each given big number belongs to a block, giving its size, and each block contains exactly one given number. 

- All unshaded cells must be connected in a single group of orthogonally connected cells.  

- Any given black cells indicate the corresponding cell cannot be shaded. 

About: This puzzle was invented by Anurag Sahay.

Puzzlerium Tour: Chained Block

 

Rules: Shade some cells in the grid to form blocks of any shape.

1. Each block must contain exactly one number or a question mark.

2. A number indicates the size of the block that contains it.

3. Diagonally adjacent blocks form a chain. A chain cannot contain two identically shaped blocks, counting rotations and reflections as the same.

4. All blocks must be diagonally adjacent to at least one other block.

Puzzlerium Tour: Touching pentominoes/tetrominoes (2-class)

Rules: Place some pentominoes and/or tetrominoes in the given grid without repetition. Figures may be rotated and reflected but may only touch each other diagonally. All the points of diagonal contact are given as black/white circles. Figures fall in two categories - one that touch circles of a single color, and one that touch circles of both colors. All pentominoes belong in one of the two categories, and all tetrominoes are in the other. 

Puzzlerium Tour: Emulsion

 

Rules: Shade some cells such that each outlined region contains two or more groups of orthogonally connected shaded cells of the same size but different shapes. There cannot be any other shaded cells. Shaded cell groups across regions can only touch diagonally, while they must all be connected to each other diagonally within a region. Given numbers indicate shaded cells part of a group of that size. Groups can not contain more than one given number. 

About: This puzzle was invented by Anurag Sahay.

Puzzlerium Tour: Mileage

  

Rules: Trace a loop that does not intersect itself and has horizontal and vertical paths between centers of cells, and visits each outlined region once. When two cells along the path both have the loop turning in them and are in different regions, they cannot be adjacent. Given numbers tell how many cells the loop does NOT visit in that region.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Emulsion

 

Rules: Shade some cells such that each outlined region contains two or more groups of orthogonally connected shaded cells of the same size but different shapes. There cannot be any other shaded cells. Shaded cell groups across regions can only touch diagonally, while they must all be connected to each other diagonally within a region. Given numbers indicate shaded cells part of a group of that size. Groups can not contain more than one given number. 

About: This puzzle was invented by Anurag Sahay.

Puzzlerium Tour: Castle Wall

   

Puz.link

Rules: Draw lines through orthogonally adjacent cells to form a loop.

1. Lines cannot go through bold borders.

2. White cells must be inside the loop, and black cells must be outside the loop. Grey cells are either black or white.

3. A number with an arrow indicates the number of line segments in that direction. Vertical arrows only count vertical lines, and horizontal arrows count horizontal lines.

Puzzlerium Tour: Yajilin

 

Rules: Shade some cells and draw a single closed loop through all remaining white cells, the loop's path moving horizontally  or vertically through cell centers. Clue cells may not be shaded. The loop may not intersect itself,  or go through a cell more than once. Shaded cells cannot share an edge with each other. Some cells contain a number and arrow, or a question mark, and may not be part of the loop. Numbered arrows in such cells indicate

the total number of shaded cells in the direction of the arrow.

Puzzlerium Tour: Rassi Silai (Knotty)

 

Rules: Thread a rope in each region. A rope is a path that passes through all cells of the region, between two cells that are end-points. End-points do not touch each other, even diagonally, even across regions. Each path crosses itself once, and both segments go straight through the cell they intersect in. 

Puzzlerium Tour: Containers

  

Edit:  '1' was placed one cell off in the original version leaving the puzzle unsolvable 

Rules: Subdivide the grid along the borders into non-overlapping rectangular (but, not squares) regions, with each rectangle enclosing none, one, or more given numbers. No two rectangles of the same area can share an edge with each other. 

- Each rectangular region contains a square whose side is equal to the shorter side of the containing rectangle, and which can be positioned in a unique slot somewhere along the length of the rectangle. Squares may be as small as 1x1.

- Squares do not touch each other, except at a point.

- Given numbers either represent the area of a rectangle or a square occupying that cell. 

- All cells not belonging to squares form a single group of orthogonally connected cells.  

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Castle Wall

  

Puz.link

Rules: Draw lines through orthogonally adjacent cells to form a loop.

1. Lines cannot go through bold borders.

2. White cells must be inside the loop, and black cells must be outside the loop. Grey cells are either black or white.

3. A number with an arrow indicates the number of line segments in that direction. Vertical arrows only count vertical lines, and horizontal arrows count horizontal lines.

Puzzlerium Tour: Heyawake

 

Rules: Shade in some cells so that all of the unshaded cells are connected orthogonally in a single group. Shaded cells may only be diagonally adjacent to each other. Unshaded cells are not allowed to span more than two regions in any straight line. Given numbers tell how many cells in their containing region are shaded.

Puzzlerium Tour: Yajilin

Rules: Shade some cells and draw a single closed loop through all remaining white cells, the loop's path moving horizontally  or vertically through cell centers. Clue cells may not be shaded. The loop may not intersect itself,  or go through a cell more than once. Shaded cells cannot share an edge with each other. Some cells contain a number and arrow, or a question mark, and may not be part of the loop. Numbered arrows in such cells indicate

the total number of shaded cells in the direction of the arrow.

Puzzlerium Tour: Plurality

Edit: Updated version with fixes 

Penpa+

Rules: Shade some cells such that all unshaded cells are connected in a single group. Clue cells cannot be shaded. Each group of connected shaded cells must form a rectangle (or a square). Clue cells must be adjacent to one or more shaded cells. Given numbers represent the sum of sizes of all of the rectangles/squares adjacent to it. 

About: Plurality is an extension of the Nikoli puzzle "Tasquare".

Puzzlerium Tour: Office Spaces (Distinct)

 

Theme: Symmetry Anomaly

Rules: Subdivide the grid along the borders into regions of orthogonally connected cells, with each region enclosing exactly one given circle. 

- A region containing a white circle is always a square of any size. 

- Black circles are contained in regions with irregular shapes.  

- Two regions of the same size cannot share borders. No two regions can be identical.

- Given numbers represent the area of the region they are contained in.

- All cells corresponding to irregular regions must be connected in a single group of orthogonally connected cells.  

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: One of its kind (Regions)

 

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centers of the cells. The path of the loop passes through each of the given circles and makes a 90 degree turn in each circle.  Furthermore, the letter 'L' indicates that the lengths of the portions of the loop on either side of the given circle, extending as far as before the loop turns, add up to what is greater than that for any of the other circles in the corresponding row, column, or outlined region. 'S' indicates that the sum is the smallest. For all circles in the same row, column, or region without a letter, the sum could be anything except the largest (but less than the largest) if 'L' is given in that row or column, or the smallest (but greater than the smallest) if 'S' is given, or between the largest and the smallest if both are given.

About: "One of its kind" was invented by Anurag Sahay.

Puzzlerium Tour: Kites

Theme: Spacewalk

Rules: Subdivide the grid into regions of orthogonally connected cells, with each region enclosing one or more kites. 

- Each kite has a tail attached to it; the tail is an orthogonal path through cell centers with length greater than or equal to 1. 

- Tails do not overlap each other or enter cells containing other kites. 

- Tails also remain entirely in the region that their kite is contained in. 

- Kites that are in cells that share a border are in the same region. 

- All kites in a region have different and consecutive tail lengths. Given numbers indicate the length of the corresponding tail. 

- Every cell in the grid is used by a kite.

- Any given 'x's on edges indicate that the tails cannot use the edge. Some edges are already given.

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Castle Wall

 

Theme: 2023 - Black or White?

Rules: Draw lines through orthogonally adjacent cells to form a loop.

1. Lines cannot go through bold borders.

2. White cells must be inside the loop, and black cells must be outside the loop.

3. A number with an arrow indicates the number of line segments in that direction. Vertical arrows only count vertical lines, and horizontal arrows count horizontal lines.