Peg Solitaire

Peg Solitaire:
Peg Solitaire is a classic single-player board game where you remove marbles from the board by jumping them over one another.

This game is also known as Marble Solitaire or Brainvita.

The objective is to clear the marbles from the board until only a single marble remains.

The boards included in this game package are:
- English Solitaire
- French Solitaire
- German Solitaire
- Asymmetrical Solitaire
- Diamond Solitaire
- 7x7 Square
- ...and the game has been created by adding many other versions.

Game Rules – Setup: Place marbles in the holes on the board, leaving the center hole empty.
Move: Jump a marble horizontally or vertically over an adjacent marble into an empty space. Diagonal moves are not allowed.
Capture: Remove the jumped marble from the board.
Game Over: The game ends when no further moves are possible.

Conway's Soldiers:
Conway's Soldiers (also known as the solitaire army or checker-jumping problem) is a mathematical game devised by mathematician John Horton Conway in 1961. Played on an infinite checkerboard divided by a horizontal line, the game challenges you to advance a "soldier" as far into empty territory as possible using peg-solitaire-style jumps. Despite having an infinite army at your disposal, Conway famously proved that it is mathematically impossible to reach the 5th row in a finite number of moves.

The Rules of the Game
The Setup: An infinite checkerboard is split by a horizontal boundary line. Every square below the line (and on it) is occupied by a soldier. All squares above the line are empty.
The Move: A soldier can jump horizontally or vertically (never diagonally) over an adjacent soldier into an empty space.
The Cost: Just like in peg solitaire, the soldier that was jumped over is removed from the board permanently.
The Goal: Send at least one soldier as many rows above the starting line as possible.

Game of Life:
Conway's Game of Life is a zero-player cellular automaton simulation created by British mathematician John Horton Conway in 1970

The Rules:
Underpopulation: Any live cell with fewer than two live neighbors dies.
Survival: Any live cell with two or three live neighbors lives on to the next generation.
Overpopulation: Any live cell with more than three live neighbors dies.
Reproduction: Any dead cell with exactly three live neighbors becomes a live cell

Key Patterns
Still Life: Stable patterns that do not change from one generation to the next (like the block or beehive).
Oscillators: Patterns that repeat and cycle through a fixed set of shapes over multiple generations.
Gliders: Moving patterns that travel diagonally across the grid over time