Puzzlerium Tour: 123 and Pentomino

 

Rules: Place some or all pentomino shapes - once each - with all of the clue cells belonging to the shapes. Black cells cannot be used. Pentominoes may be rotated and reflected but cannot touch each other, not even diagonally. Each shape has to conain 3 equal numbers, including given numbers, such that no two numbers are in adjacent cells. Also, two identical numbers with one empty cell between them should both belong to the same shape.  

About: "123 and Pentomino" was invented by Anurag Sahay.

Puzzlerium Tour: Balance Loop

 

Theme: SEVEN

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres of the cells. The path of the loop passes through each of the given circles. Furthermore, the lengths of the portions of the loop on either side of the given circle, extending as far as before the loop turns, should add up to the given number. All black circels should have segments of unequal lengths on either side before turning, while white circles have equal lengths.

Puzzlerium Tour: Flanked

Rules: Three identical Pentominoes are given. Flank each pentomino with two pentominoes such that the attached pentominoes each touch the central pentomino diagonally, with only one contact point, but don't touch each other or those from the other triplets in any way. Pentominoes can be rotated and reflected. In the end, all white cells (including any given black cells) should be reachable through other white cells orthogonally in a single group. Also, each given must be flanked by the same pair of different pentominoes and they cannot be the same as the central pentomino (if an L and a Z are attached to a given, L and Z should flank the other two givens too). Given black cells cannot be occupied. 

About: "Flanked" was invented by Anurag Sahay.

Puzzlerium Tour: Star Battle

 

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.

Puzzlerium Tour: Akari (Either Or)

  

Rules: Place a bulb in some of the cells such that given numbers tell how many bulbs are adjacent to the cell containing the number. No two bulbs can illuminate each other. Bulbs can only illuminate cells in the same row or column not blocked by black cells. Some bulbs are one cell by one cell while some are domino-shaped - two cells  by one.

Puzzlerium Tour: Helper Figures

(2, 3, 5)

Rules: Divide the grid into areas of given sizes such that every cell is part of some area. Two areas of the same size cannot be edge-adjacent, but can touch diagonally. 

About:  "Helper Figures" was invented by Anurag Sahay

Puzzlerium Tour: Bi Chart

Rules: Shade in some cells so that all shaded cells are connected in a single contiguous group. No stretch of shaded cells can span three or more outlined regions - same has to hold for unshaded cells. Gvien numbers tell how many of the cells in the corresponding direction are shaded.

About: "Bi Chart” was invented by Anurag Sahay.

Puzzlerium Tour: Retrograde Battleships

  

Rules: Each cell in the grid contains a ship segment. Shade in some cells such that the Complete standard fleet of 10 ships can be located. Ships do not touch each other, not even diagonally. Ships may be rotated.

Puzzlerium Tour: Camping Directions

    

Edit: The clue outside the second column was incorrect. 

Rules: Place a tent next to each tree. Tents cannot touch other tents, not even

diagonally. Clues outside indicate how many tents in that row or column are placed in the given direction relative to their tree.