Conway's Game of Life Flashcards
It is a cellular automaton that is played on a 2D square grid and was created by John Conway.
Conway’s Game of Life
Conway’s Game of Life is a cellular automaton that is played on a 2D square grid and was created by _.
John Conway
The mind behind this bizarre game was _, a brilliant British Mathematician fascinated by the exploration of Mathematics in its purest form.
John Horton Conway
The mind behind this bizarre game was John Horton Conway, a brilliant _ fascinated by the exploration of Mathematics in its purest form.
British Mathematician
This game was created with _ in mind but has been applied in various fields such as Graphics, terrain generation, etc.
Biology
This game was created with Biology in mind but has been applied in various fields such as _, _, etc.
graphics, terrain generation
It is a _ game with no winners or losers, which result is fully determined by the initial configuration of the pieces on the board.
zero-player
It is a zero-player game with no _ or _, which result is fully determined by the initial configuration of the pieces on the board.
winners, losers
It is a zero-player game with no winners or losers, which result is fully determined by the _ of the pieces on the board.
initial configuration
A player is only needed to advance the state of the game to the next turn- a _ -following three simple rules.
generation
Conway’s Game of Life Rules
SURVIVAL: Every piece surrounded by two or three other pieces survives for the next turn.
DEATH: Each piece surrounded by four or more pieces dies from overpopulation.
Likewise, every piece next to one or no pieces at all dies from isolation.
BIRTH: Each square adjacent to exactly three pieces gives birth to a new piece.
Noted
In Conway’s Game of Life Rules, every piece surrounded by _ or _ other pieces survives for the next turn.
two, three
In Conway’s Game of Life Rules, each piece surrounded by _ or more pieces dies from overpopulation. Likewise, every piece next to _ or no pieces at all dies from isolation.
four, one
In Conway’s Game of Life Rules, each square adjacent to exactly _ pieces gives birth to a new piece.
three
Conway’s Game of Life Rules
For a space that is populated:
Each cell with one or no neighbors dies, as if by _.
Each cell with four or more neighbors dies, as if by _.
Each cell with two or three neighbors _.
For a space that is empty or unpopulated:
Each cell with three neighbors becomes _.
solitude,
overpopulation,
survives,
populated
It is in there that its editor, _ published a system to classify the many objects-patterns, as they’re called -that he saw appearing in the game.
Robert Wainwright
Conway’s Game of Life: Classification
Stable, inactive
Class I (Still Lifes)
Example: block, loaf
Conway’s Game of Life: Classification
Stable, active, stationary
Class II (Oscillators)
Example: blinker
Conway’s Game of Life: Classification
Stable, moving, constant cells
Class III (Spaceships)
Example: glider
Conway’s Game of Life: Classification
Stable, moving, increasing cells
Class IV (Guns)
Example: glider gun
Conway’s Game of Life: Classification
Unstable, Predictable
Class V (N-ominoes)
Conway’s Game of Life: Classification
Unstable, unpredictable
Class VI (?)
These are the so-called “still lifes”; patterns that do not change over time.
Class I
These are called “oscillators,” and they repeat over a certain number of generations. They are classified based on their period.
Class II
Some of the most studied patterns: spaceships. Those are oscillators that, at the end of their cycle, somehow find themselves in a different position. They effectively move!
Class III
The most well known and loved is the glider.
It is an oscillator that, every 30 generations, spawns a new glider. Also known as Gosper Glider Gun.
Class IV
Class IV is an oscillator that, every 30 generations, spawns a new glider. Also known as _.
Gosper Glider Gun
_ patterns behave seemingly erratically chaotic until they eventually collapse to one of the classes above.
Class V
_ patterns are doomed to a different fate: remaining in a perpetual state of chaos-forever evolving, yet never stabilizing onto something predictable.
Class VI
Because the Game of Life is built on a grid of nine squares, every cell has _ neighboring cells.
eight
A given cell (i, j) in the simulation is accessed on a grid, where i and j are the _ and _ indices, respectively.
row, column
The value of a given cell at a given instant of time depends on the _ of its neighbors at the _ time step.
state, previous
CONCLUSION
Conway’s Game of Life is a powerful example of how complex systems can emerge from simple rules. It continues to fascinate mathematicians, computer scientists, and anyone interested like complexity and emergent behavior.
Conway’s Game of Life is Turing-complete, meaning it can simulate any computer program. This implies that even with a simple set of rules, the game can exhibit the full range of computational capabilities.
Noted
Conway’s Game of Life is _, meaning it can simulate any computer program. This implies that even with a simple set of rules, the game can exhibit the full range of computational capabilities.
Turing-complete
