Rules - Logic of Life

Logic of Life is an original logic puzzle I created.  It's name, for once, is original!  (even if it is just mixing up "logic puzzle" and "game of life"...)

1. Make each cell white or black.

2. No two black cells may share an edge.

3. All white cells must be connected to each other through their edges.

4. The completed puzzle will be generation 1 of a pattern in Conway's Game of Life, with black cells being live cells and white cells being dead cells.  The edges act like dead cells.

5. All cells with an O in it must be alive in generation 2.

6. All cells with an X in it must be dead in generation 2.

7. All cells with a ? in it must be different in generation 1 than in generation 2.

If you don't understand Conway's Game of Life, here's an alternate telling of the rules (when I mention the cells "around" another cell, I am talking about the eight cells orthogonally and diagonally adjacent to that cell):

1. Make each cell white or black.

2. No two black cells may share an edge.

3. All white cells must be connected to each other through their edges.

4. A white cell with an O must have three black cells around it.

5. A black cell with an O must have two or three black cells around it.

6. A white cell with an X must have zero, one, two, or four black cells around it.

7. A black cell with an X must have zero, one, or four black cells around it.

8. A white cell with a ? must have three black cells around it.

9. A black cell with a ? must have zero, one, or four black cells around it.

Rules - Boxing Match

Boxing Match is an original puzzle that I created.  The name comes from Tables of f.ds (no, it's not based on mathgrant's "Fencing Match").

1. Divide the grid into rectangles along the grid lines.

2. Each rectangle must contain exactly two shapes.

3. A rectangle containing two circles must not be a square.

4. A rectangle containing at least one square must be a square.

Rules - Process of Illumination

Process of Illumination was invented by the Japanese puzzle company Nikoli.  The name comes from mathgrant.  (Look, I'm horrible at coming up with names, and don't like using the Japanese ones)

1. Place light bulbs in some of the white cells.
2. A light bulb illuminates its own cell and all cells in a horizontal or vertical line from it up to a black cell or the puzzles edge.
3. All cells must be illuminated.
4. No light bulbs may illuminate each other.
5. A number in a black cell says how many light bulbs are orthogonally adjacent (share an edge) with that black cell.

Rules - Twincognito

Twincognito was invented by the Japanese puzzle company Nikoli.  The name comes from mathgrant (I don't feel like linking it anymore, just look at earlier rules or something to find it if you want it).

1. Make each cell white or black.

2. No two black cells may share an edge.

3. All white cells must be connected to each other through their edges.

4. No two white cells with the same number may be in the same row or column.

Rules - Arrowneous

Arrowneous was invented by the Japanese puzzle company Nikoli.  The name comes from Rick Griffin, a reader of mathgrant's blog.

1. Make each cell white or black.

2. No two black cells may share an edge.

3. All white cells must be connected to each other through their edges.

4. A white cell with a number and an arrow show how many black cells are in the row or column pointed at by the arrow.

5. Cells with a number and an arrow can be shaded in.  If they are, the clue is meaningless, and may or may not be true.

Rules - Polycubeous

Polycubeous is a three-dimensional version of polyominous.

1. Make a three-dimensional grid out of the two-dimensional ones by stacking them on top of each other, with the grid on the top being the top section of the 3D grid.  (The example puzzle is a dome when stacked this way.)

2. Divide the grid into polycubes.
3. Each space in the grid will have a number in it.
4. Each number must be in a polycube with that number of cubes.
5. No two polycubes with the same number of cubes may touch on any of their (square) edges.
6. A polycube may contain any number (including zero) of the numbers originally given.

Rules - Pearls of Wisdom

Pearls of Wisdom was invented by the Japanese puzzle company Nikoli.  The name comes from mathgrant (surprise, surprise).

1. Draw a single loop that connects the centers of the grid cells.

2. The loop may only travel horizontally or vertically, not diagonally (so all turns are right angles).

3. The loop may only turn at the centers of the grid cells.

4. The loop may not cross itself or branch off.
5. The loop must pass through every pearl (circle) on the grid.
6. The loop may not turn at a white pearl, but must turn at at least one of the adjacent cells in the loop.
7. The loop must turn at a black pearl, but may not turn at both of the adjacent cells in the loop.

Rules - Straight and Arrow

Straight and Arrow was invented by the Japanese puzzle company Nikoli.  The name comes from mathgrant.

1. Draw a single loop that connects the centers of the grid cells.

2. The loop may only travel horizontally or vertically, not diagonally (so all turns are right angles).

3. The loop may only turn at the centers of the grid cells.

4. The loop may not cross itself or branch off.

5. The loop may not go through any cells with a number in it.

6. Any cell that does not have an arrow or is part of the loop must be shaded black.

7. No other cells may be black.

8. No two black cells may share an edge.

9. A cell with a number and an arrow show how many black cells are in the row or column pointed at by the arrow.

Rules - Room and Reason

Room and Reason was invented by the Japanese puzzle company Nikoli.  The name is from mathgrant.

1. Make each cell white or black.

2. The grid is divided into rectangular "rooms".  Rooms with numbers in their corners must have that number of black cells in them.  Rooms without numbers may have any number of black cells in them.

3. White cells may not go through more than two rooms in an uninterrupted horizontal or vertical line.

4. No two black cells may share an edge.

5. All white cells must be connected to each other through their edges.

Rules - Slitherlink

Slitherlink was invented by the Japanese puzzle company Nikoli.

1. Draw a single loop that connects the dots on the grid.
2. The loop may only travel horizontally and vertically, not diagonally (so all turns are right angles).
3. The loop may only turn at the dots.
4. The loop may not cross itself or branch off.
5. All numbers inside the grid indicate how many sides around it are in the loop.

Rules - Polyominous

Polyominous was invented by the Japanese puzzle company Nikoli.  The name is from Zotmeister.

1. Divide the grid into polyominoes.
2. Each space in the grid will have a number in it.
3. Each number must be in a polyomino with that number of squares.
4. No two polyominoes with the same number of squares may touch on any of their edges.
5. A polyomino may contain any number (including zero) of the numbers originally given.