Puzzlerium Tour: LITS (Three Halves)

  

Rules: Shade in some cells such that each outlined area contains six shaded cells that form a Tetromino and a half of a tetromino, with the two shapes allowed to touch orthogonally as long as they are not identical. The other half of the tetromino must be found in an adjoining region - a half can only be adjacent to the half it is joining, not any other halves. Also, the two cells making a "half " need not necessarily be adjacent to each other.  No 2×2 square can be shaded completely. All shapes must be connected to form a single contiguous group of shaded cells. Identical figures, regardless of rotation or reflection, cannot share an edge. 

See example below: 

Puzzlerium Tour: NoriNori (Three Halves)

 

Rules:  Shade in some cells so that every bold outlined region contains exactly 3 shaded cells. Every shaded cell should share an edge with exactly one other shaded cell.  

Puzzlerium Tour: Pentomino Areas (Three Halves)

Rules:  Place the full set of pentominoes into the given 12x12 grid, with rotations and reflections allowed. Pentominoes cannot touch each other, not even diagonally. 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 a neighboring region.  

About: This variant was first explored by Anurag Sahay.

Puzzlerium Tour: Fillomino (Double)

  

Theme: No given 1s or 2s.

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. 

For each region, there must be a region that is identical (both in size and shape).

About: This variant was first explored by Anurag Sahay.

Announcement - Puzzlerium Optimization Championship

Come September 24th, the Puzzlerium Optimization Championship returns with its sixth edition. Puzzle enthusiasts can put their skills to test in a competitive setup.

More details to be made available when the competition starts.

Puzzlerium Tour: Spheres of Influence

  

Rules: Shade in some cells so that all shaded cells are connected orthogonally in a single group and no 2×2 square is completely shaded. There can be no islands -enclosed areas of one or more unshaded cells - all unshaded cells should be accessible to the grid borders through other unshaded cells. Black circle indicates that cells on either side of the edge are both shaded and each of the two shaded cells has at least one shaded neighbor not counting the cell across the circle. White circles add no such constraint, but, exactly one of the two cells on its sides need be shaded. A grey circle is either black or white, and the colour needs to be determined.

About: "Spheres of Influence" was invented by Anurag Sahay.

Puzzlerium Tour: Pentominous (Borders)

Penpa+

Theme: Mirrors galore

Rules: Divide the grid along the gridlines and given outlined edges - ignoring shaded cells if any- into pentominoes such that every cell in the grid is a part of exactly one pentomino. Pentominoes of the same shape (rotations and reflections of a pentomino count as the same shape) cannot touch each other along an edge, but they may touch diagonally. Some borders are already given.