Puzzlerium Tour: Office Spaces

 

Theme: A black year

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 of irregular shape.  

- Two regions of the same size cannot share borders.

- 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: Roadblocks

 

Rules: Place a few squares of side 2 or larger so that they do not touch each other, not even at a point. Each given number tells how many cells in the corresponding direction are used by the squares. Then, draw a loop that does not intersect itself and moves horizontally or vertically between centers of white (unused) cells and visits each white cell once. The loop cannot pass through the edges marked 'x'. 

Puzzlerium Tour: Office Spaces

Theme: Perfect Squares

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.

- 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: Shapography

  

Rules: Shade some cells such that all unshaded cells are connected in a single group. Clue cells cannot be shaded. Shaded cells cannot share borders with each other. In each outlined region, only one kind of cells can be shaded - those that have the same number of bold edges (including grid borders). Given numbers tell how many cells in that region will be shaded.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Dyeing

 Rules: Shade some cells such that all unshaded cells are divided in groups of connected cells, each containing one clue cell. Given numbers indicate the size of the unshaded area. Each group of connected shaded cells must form a rectangle (or a square), and all such groups must be connected diagonally. 

About: This puzzle type was invented by Anurag Sahay

Puzzlerium Tour: Nurikabe (Cipher)

Rules: Each different letter stands for a different non-zero integer. Shade some cells so that all shaded cells are connected and no 2×2 square is completely shaded. Cells with numbers cannot be shaded. Each group of connected unshaded cells forms an island; islands can touch each other diagonally. Each island must contain exactly one given number that indicates the number of cells inside the containing island.

Puzzlerium Tour: Office Spaces

Theme: Antisymmetric triplets

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.

- 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: Shapography

 

Rules: Shade some cells such that all unshaded cells are connected in a single group. Clue cells cannot be shaded. Shaded cells cannot share borders with each other. In each outlined region, only one kind of cells can be shaded - those that have the same number of bold edges (including grid borders). Given numbers tell how many cells in that region will be shaded.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Room To No Room

 

Rules: Shade some cells such that every room is filled up starting with one shaded cell, followed by two shaded cells that are adjacent to each other, and so on, until there is no more room to shade n cells in the nth step.  When some cells remain to be shaded but cannot be, enter 'x' in those cells, making sure they do not share a border. Shaded cell groups of the same size cannot share a border. Some 'x's may already be given.

About: This puzzle type was invented by Anurag Sahay

Puzzlerium Tour: Dyeing

 Rules: Shade some cells such that all unshaded cells are divided in groups of connected cells, each containing one clue cell. Given numbers indicate the size of the unshaded area. Each group of connected shaded cells must form a rectangle (or a square), and all such groups must be connected diagonally. 

About: This puzzle type was invented by Anurag Sahay

Puzzlerium Tour: Clones in the Neighborhood

 

Rules:  Enter numbers 1 to N inside each outlined region where N is the number of cells in the corresponding region. No two equal numbers share an edge. Some numbers are already given. Small numbers given in the top-left of some cells indicate that that many contiguous cells in the region - including the cell with the number - make a set of numbers (a combinatorial clone) identical to at least one group of the same size and shape in a neighboring region. The two clones must share at least one edge. 

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Budgeted Loop

 

Rules: Draw a loop that does not intersect itself and moves horizontally or vertically between centers of cells, and visits each outlined region twice. The part of the loop that contains a clue cell visits as many cells in the region as the number in the cell.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Pentusal

   

Rules: Place some pentomino shapes, no more than once each (rotations and reflections of the same shape are considered identical). Shapes are not allowed to touch, not even diagonally. Blackened cells (if given) cannot be used. Arrows indicate that there is exactly one pentomino (other than the pentomino containing the arrow) in the direction pointed to. Every cell with an arrow(s) must be used by a pentomino.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Kites

Fly 'em high.

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.

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Circuit Jam

 Rules: Place pentomino shapes, rotations and reflections allowed, such that each shape contains one given letter that represents the shape. Each given letter must be contained in a shape. Shapes do not overlap, but are allowed to be adjacent to each other. Shapes cannot use Blackened cells (if given). There must be one or more ways of reaching from one letter to another that is identical to it, following orthogonal paths. Two paths do not overlap or intersect each other or shapes other than they those originate in. Paths may use given blackened cells.

About: Invented by Anurag Sahay

Puzzlerium Tour: In-sight

  

Rules: Place some pentomino shapes, twice each, one in each bold outlined region (rotations and reflections of the same shape are considered identical). Shapes are not allowed to touch, not even diagonally. Blackened cells (if given) cannot be used. Identical pentominoes cannot be placed inside regions that share an edge. In at least one row or column, identical pentominoes from each pair must be in the line of sight of each other without any other shape blocking the view. 

About: Invented by Anurag Sahay.

Puzzlerium Tour: Cutting-edge Pentomino

  

Rules: Place some of the ten given pentomino shapes (the set with 'X' and 'P' excluded), not more than once each (rotations and reflections of the same shape are considered identical). Shapes do not overlap, but are allowed to touch diagonally. Blackened cells (if given) cannot be used. Given dots correspond to one pentomino each, and represent the edge that divides the pentomino into two parts - one containing 2 cells, and the other, 3 cells. There is no pentomino that is not divided by a dot. In the end, all of the unused cells must be connected in a single group through other unused cells.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Plurality

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: Nanromino

  

Penpa

Rules: Place one pentomino shape in each outlined region without repetitions; cells with given numbers cannot be used. Pentominoes can be rotated/reflected, but cannot touch each other, not even diagonally. Then, insert a number into some of the unused cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Where two numbers connect across a region boundary, the numbers 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.

Puzzlerium Tour: Pentomania

 

Rules: Place some pentomino shapes, not more than once each (rotations and reflections of the same shape are considered identical). Clue cells remain empty. Shapes do not overlap, but can touch diagonally. Blackened cells cannot be used. Given letters represent all of the pentomino shapes that are edge-adjacent to the cell containing the letter. In the end, all of the unused cells must be connected in a single group through other unused cells.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Ruins

 

Rules: Insert a circle in some of the white cells such that cells sharing an edge do not both contain circles. Given numbers indicate how many of the edge-adjacent cells contain a circle. Then, divide all of the remaining white cells into regions of four or five cells. It must not be possible to traverse any of the obtained regions entirely with a single path that connects cell centers orthogonally and does not intersect or retrace itself. No two identical regions can share an edge.

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Strings

  

Rules:  Enter a sequence of three or more consecutive numbers inside each outlined region. Each sequence starts with the number 'one', is strictly increasing, and without any empty cells in between two consecutive numbers. No two equal numbers from different regions can share an edge. A region can contain either one or no empty cell. Some numbers are already given. 'x' represents empty cells. Sequences that share one or more edges and are of the same length, cannot have the same shape. 

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Snake Hole

Rules: Shade in some cells such that each given number tells how many cells in the corresponding outlined area are shaded. Shaded cells cannot share borders with each other. Cells with diamonds or black circle cannot be shaded. All of the unshaded cells must be connected in a single group. Starting in each diamond, there must only be one shortest path reaching the black circle; Paths are not allowed to use shaded cells. Two paths of the same length must be unique in shape. Paths may use cells containing other diamonds.

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Relay Race

    

Rules: Draw a loop that visits all of the outlined regions and moves horizontally and vertically between cell centers. The loop may not intersect itself or pass through any cell more than once. The loop also visits every given circle and has a constant direction throughout. Given numbers tell how many turns follow after leaving the clue cell and before either hitting a region border or another clue cell, whichever comes earlier.

About : This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Pentopia (Three halves)

 

Rules: Place all of the pentomino shapes, without repetitions, and with rotations and reflections allowed. The shapes may not touch each other, not even diagonally. Arrows point in all directions the pentomino segments are closest to the clue cell. Each bold outlined region must include a full pentomino and a half of another pentomino - half meaning either 2 or 3 cells while the other 3 or 2 cells are contained in an adjoining region.  

Puzzlerium Tour: Souvenirs

Rules: Draw a loop that does not intersect itself and moves horizontally or vertically between centers of all of the cells. Every time the loop enters an outlined area, it visits one given circle before leaving.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Koburin (Domino)

 

Rules: Shade some cells such that each given tells how many cells sharing a border with it are shaded, and, each shaded cell shares a border with one other shaded cell, forming dominoes. No two dominoes can share borders. Then draw a single, non-intersecting loop, vertically or horizontally through the centres of all of the white cells. 

Puzzlerium Tour: Pentomino Gallery

Here is the newest innovation from Puzzlerium.

Rules: Place at least one and at most two pentomino shapes (both identical, rotations and reflections of the same shape are considered identical) inside each outlined room. Shapes do not overlap and each shape is placed entirely in its room. Cells with black cells cannot be occupied. Each cell with a white circle has to be contained in a pentomino shape and each pentomino has to contain one white circle. Pentominoes may be rotated and reflected. Two identical shapes can only touch each other at a point.

About: Invented by Anurag Sahay.

Puzzlerium Tour: Go Square (Calculated)

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres of all of the cells. Given numbers indicate how many 2x2 squares in the corresponding outlined region have all of their four cells visited in immediate succession to each other. If the loop enters region A when leaving from region B, and A and B are visited m and n number of times, m can not be equal to n. Shaded cells are not a part of the puzzle. 

About: “Go Square” was invented by Anurag Sahay.

Puzzlerium Tour: Geometric Plot

Rules:  Place some non-overlapping rectangles so that given numbers are part of one rectangle each, and each rectangle contains one number that represents its area. Rectangles can only touch each other at a point. Some rectangles may contain no given numbers. Then plot one point (centre of a cell) in each of the rectangles and connect each point with exactly two others so that the edges meeting at a point make one of three angles - 90/45/135 - and form a loop that does not intersect itself. No two consecutive edges are equal in length. Some edges may be given already.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Few Good Boxes

Rules:  Place some non-overlapping rectangles so that given circles are part of one rectangle each, the number in the circle representing the area of the rectangle. A rectangle may contain more than one given circle. Then draw a loop that does not intersect itself and moves horizontally or vertically between centers of cells and traverses the entirety of each rectangle represented by a grey circle. The loop enters and leaves the rectangle exactly once. All rectangles represented by black circles must be outside the loop, while all rectangles represented by white circles must be inside the loop. With the exception of cells used by rectangles that are not on the loop's path, the loop visits all of the cells in the grid. 

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Us and Them

  

Rules: Draw lines between cell centres horizontally or vertically, with 90 degree turns allowed, such that each cell is used by one line. Each outlined area contains one or more lines that are entirely inside the area. An area may also contain lines that run into multiple areas but such lines need not necessarily use every area. Lines are always two or more units long (in the number of cells used). The length of an interarea line cannot be equal to that of those lines that are inside any of the areas it passes through. Given numbers indicate there are one or more internal lines of that length. All cells used by all of the internal lines together form a single orthogonally connected network. Some partial/full lines may be given. 

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Sideways

 I had introduced this puzzle type last year.  

Theme: Doubly Clear

Rules: Draw a loop that visits all of the outlined regions. The loop may not intersect itself or pass through any cell more than once. The loop also may not traverse more than two regions successively without making a turn. To state that alternatively, no straight line path may cross two or more borders. Given numbers tell how many cells in the containing region are used by the loop.

About : This type was invented by Anurag Sahay.

Puzzlerium Tour: Land of Honesty

 

Rules: Draw a loop that does not interset itself and moves horizontally or vertically between centers of cells and does not visit the given numbers. Given numbers tell how many of the edge-adjacent cells are used by the loop. Exactly one given in each outlined region is a liar, while the rest of them tell the truth.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Arithmetic Carvings

 

Rules: A wall is hidden in the grid. Each horizontal row contains bricks of 1 unit height and length 1 and longer, lodged one beside the other. Two bricks of the same length cannot share an edge. Each brick has either a single digit, or an arithmetic expression with two single-digit numbers from 1 to 9, written on it, one number per cell. One of four standard operators +, -, x, and /, is used in each operation. The length of the brick must be equal to the expression's result or the lone digit it contains. Expresions do not evaluate to negative or non-integral values. No two equal digits or operators can touch each other in any way. Operators are always placed between the operands.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Circular Squares

  

Theme: Counting Down

Rules:  Place a few squares (rectangle with equal sides) of side 1 or larger so that they do not touch or orverlap each other except at a point. Each given number is part of a square of side equal to the number. A square can contain one or no given number. 'X'-marked cells, if given, cannot be used. It must be possible to draw a loop (not necessarily unique) that does not interset itself and moves horizontally or vertically between centers of cells and visits each placed square once in its entirety. The loop must visit exactly one empty cell during every changeover between two squares. 

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Double Block/Skyscrapers

  

Theme: One puzzle, two sets of rules

Rules: 

Double  Block: Blacken two cells in each row and column, then place numbers 1 to 3 in empty cells, such that each row and column contains numbers 1 to 3. Each clue represents the sum of numbers (including the "sum" of a single number) between shaded cells in the row or column the clue points at. 

Skyscrapers: 

Place one digit from 1 to N into each cell of the square grid where N is the length of the square's side, so that each number appears exactly once in each row and column. Each number inside the grid represents a skyscraper of its respective height. Outside clues indicate the number of skyscrapers visible in that direction, Smaller skyscrapers are hidden behind taller ones.

Puzzlerium Tour: The Hyperloop

Rules:  The grid is a layout of the Hyperloop network. Clue cells represent endpoints of each track, the length of the track represented by the given number. A track's path is a straight line between cell centers, and two tracks may only intersect inside a pod, and they always go straight through an intersection. Pods are 2x2 squares that do not touch each other, not even at a corner. No cell inside a pod can contain a 90 deg. turn of the path of the track. Not all cells in a pod need to contain tracks, and not all ccells need be intersections. Also, the stations can be a part of the pods. Given numbers outside the grid indicate how many pods are located in the corresponding direction. Although hypothetical, two adjacent cells can be endpoints of the same track.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Fillomino

  

Theme: Odd vs Even

Rules: Divide the grid along the gridlines into some regions, and fill each of the empty cells with a number. When two cells containing the same number touch along an edge, 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.

Puzzlerium Tour: Tetrahexanatomy

 

Rules: Place some of the Tetrahexes, twice each. All of the clue cells belong to the shapes. 'X'-marked cells, if any, cannot be used.  Tetrahexes may be rotated and reflected but cannot touch each other. Each given line's path alternates between dead-end cells and the other cells.

About: This puzzle type was invented by Anurag Sahay.

Puzzlerium Tour: Squares and Rectangles

    

Rules:  Divide the grid into rectangles and squares that do not overlap. Areas of the same size (in number of cells) cannot share an edge. Each given black circle must be inside a square and each given white circle must be inside a rectangle. No given circles can be on edges or corners of rectangles or squares. Each given circle represents exactly one figure. Each figure has to contain one given circle. 

About: This puzzle type was invented by Anurag Sahay.