Tuesday, February 28, 2023

Puzzlerium Tour: Chained Blocks

  




RulesShade 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.

Monday, February 27, 2023

Puzzlerium Tour: Three Relationships

   



Rules: Trace a loop that does not intersect itself and visits each given circle and each given diamond. If two circles are visited successively, the path of the loop visits two or more empty cells between them. If two diamonds are visited successively, the path of the loop turns in two or more white cells between them. Between a circle and a diamond that the loop visits successively, it turns in one cell. 

About: Invented by Anurag Sahay

Sunday, February 26, 2023

Puzzlerium Tour: Chained Block

 



RulesShade 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.

Saturday, February 25, 2023

Puzzlerium Tour: Emulsion

  



Theme: Where is the heart?

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. Each group contains one or no given number. 

About: This puzzle was invented by Anurag Sahay.

Friday, February 24, 2023

Puzzlerium Tour: Fillomino (Hex)


RulesDivide the grid along the gridlines into some regions, and fill each of the empty hexagonal cells with a number. When two cells containing the same number are adjacent, they must belong to the same region. Given numbers represent the area of the region they belong to. A region may contain none, or one or more of the givens

Thursday, February 23, 2023

Puzzlerium Tour: Nanro (Multiverse)

    





Rules: Insert a number in some cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Two numbers connecting across a region boundary must be unequal. All numbers, including the givens, must form one or more connected areas with no 2x2 areas of numbered cells. Each such area is a universe, with two or more regions, and with no two regions containing the same number allowed to have identical arrangement of the numbers. Some numbers may already be given. The multiverse is a network of diagonally connected universes, with no universe isolated. A region cannot belong to two or more universes.  

  

Tuesday, February 21, 2023

Puzzlerium Tour: Two Apiece

  



Rules: Subdivide the grid along the edges into non-overlapping regions of the same size. No two identical regions share an edge with each other. Each region encloses two circles - one black and one white. Shaded cells are not part of the grid.

About : This puzzle type was invented by Anurag Sahay.


Monday, February 20, 2023

Puzzlerium Tour: Two Apiece (Multi)

  



Rules: Subdivide the grid along the edges into non-overlapping regions of any size.  No two identical regions (same area and shape) share an edge with each other. Each region encloses two circles - one black and one white.

About : This puzzle type was invented by Anurag Sahay.

Saturday, February 18, 2023

Puzzlerium Tour: Nanro (Converse)

   



Rules: Insert a number in some cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Two numbers connecting across a region boundary must be unequal. All numbers, including the givens, must form one, connected area with no 2x2 areas of numbered cells. Also, conversely, no 2x2 area can have all empty cells. Some numbers may already be given. 

  

Thursday, February 16, 2023

Puzzlerium Tour: Nanro (Pro-consecutive)

  



Rules: Insert a number in some cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Two numbers connecting across a region boundary must be consecutive. All numbers, including the givens, must form one, connected area with no 2x2 areas of numbered cells. Some numbers may already be given.


Wednesday, February 15, 2023

Puzzlerium Tour: Nanro (Double)




Rules: Place X instances of X, and Y instances of Y, into each region, one number per cell, X <> Y. In the end, all cells containing numbers must form a single connected group, with no 2x2 group of cells filled completely, and every number reachable from every other number through orthogonal paths. Within a region, two equal numbers may or may not occupy adjacent cells, but two different numbers can never occupy adjacent cells.

Tuesday, February 14, 2023

Puzzlerium Tour: Nanro (Exception)

 



Theme: Slow Ascension

Rules: Insert a number in some cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Two numbers connecting across a region boundary must be different. All numbers, including the givens, must form one, connected area with no 2x2 areas of numbered cells. Some numbers may already be given. As an exception, one number doesn't follow the rule across region borders. For example, if it is the number '1', at least one instance of that number in each such region is adjacent to another from an adjoining region.  

Sunday, February 12, 2023

Star Battle

The suffering and chaos is greater than what the disturbing visuals might suggest. The most heart-breaking visual perhaps comes from war-torn Syria where two girls, both presumably aged under 10, were found wedged in the remains of their bed and concrete for two nights, with little or no leeway.



Rules: Place stars in some cells such that each row, column and bold outlined region contains two stars. Cells with stars cannot be adjacent to each other, not even diagonally. Shading of some cells is there for thematic reason alone.

Tuesday, February 7, 2023

Puzzlerium Tour: Descendants



Rules: Construct straight line paths in each region outlined in bold. 

- Each path begins in the given circle, passes horizontally or vertically through cell centres, and ends in a cell in the same region. 

- Paths do not touch one another across regions, not even at a point. 

- Paths have different and consecutive lengths starting from 1, measured from cell centre to cell centre. 

- Each path is identical to the one that is one shorter than it, compared up to that shorter length. 

About: This puzzle type was invented by Anurag Sahay.

Saturday, February 4, 2023

Puzzlerium Tour: Rectangular Times

    



Rules: Some rectangles (not squares) are hidden in the grid. The edges of the rectangles are straight lines running along grid lines. No two rectangles are identical (rotations are considered to be same), but may have the same area. Rectangles do not touch each other, not even at a point. Each rectangle contains one given circle, the circle being the point of rotational symmetry for that rectangle. Locate each rectangle.

About : This puzzle type was invented by Anurag Sahay.

Friday, February 3, 2023

Puzzlerium Tour: Engineered Divide

    



 

Rules: Subdivide each outlined region, along the edges, into two or more non-overlapping regions of the same area, but each one with a distinct shape. Identical regions (same area and shape) do not share an edge with each other. No region can be in two different outlined regions (bold borders cannot dissect any of the regions).

About : This puzzle type was invented by Anurag Sahay.

Thursday, February 2, 2023

Puzzlerium Tour: Rectyard

   


 


RulesSubdivide each of the outlined regions into two or more non-overlapping and distinct rectangles, wholly contained in their region, such that no two identical rectangles (same area and shape) within or across regions share an edge with each other.

About : This puzzle type was invented by Anurag Sahay.