Conway's Game of Life

Question 1

It is a cellular automaton that is played on a 2D square grid and was created by John Conway.

Answer 1

Conway’s Game of Life

Question 2

Conway’s Game of Life is a cellular automaton that is played on a 2D square grid and was created by _.

Answer 2

John Conway

Question 3

The mind behind this bizarre game was _, a brilliant British Mathematician fascinated by the exploration of Mathematics in its purest form.

Answer 3

John Horton Conway

Question 4

The mind behind this bizarre game was John Horton Conway, a brilliant _ fascinated by the exploration of Mathematics in its purest form.

Answer 4

British Mathematician

Question 5

This game was created with _ in mind but has been applied in various fields such as Graphics, terrain generation, etc.

Answer 5

Biology

Question 6

This game was created with Biology in mind but has been applied in various fields such as _, _, etc.

Answer 6

graphics, terrain generation

Question 7

It is a _ game with no winners or losers, which result is fully determined by the initial configuration of the pieces on the board.

Answer 7

zero-player

Question 8

It is a zero-player game with no _ or _, which result is fully determined by the initial configuration of the pieces on the board.

Answer 8

winners, losers

Question 9

It is a zero-player game with no winners or losers, which result is fully determined by the _ of the pieces on the board.

Answer 9

initial configuration

Question 10

A player is only needed to advance the state of the game to the next turn- a _ -following three simple rules.

Answer 10

generation

Question 11

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.

Answer 11

Noted

Question 12

In Conway’s Game of Life Rules, every piece surrounded by _ or _ other pieces survives for the next turn.

Answer 12

two, three

Question 13

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.

Answer 13

four, one

Question 14

In Conway’s Game of Life Rules, each square adjacent to exactly _ pieces gives birth to a new piece.

Answer 14

three

Question 15

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 _.

Answer 15

solitude,
overpopulation,
survives,
populated

Question 16

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.

Answer 16

Robert Wainwright

Question 17

Conway’s Game of Life: Classification

Stable, inactive

Answer 17

Class I (Still Lifes)

Example: block, loaf

Question 18

Conway’s Game of Life: Classification

Stable, active, stationary

Answer 18

Class II (Oscillators)

Example: blinker

Question 19

Conway’s Game of Life: Classification

Stable, moving, constant cells

Answer 19

Class III (Spaceships)

Example: glider

Question 20

Conway’s Game of Life: Classification

Stable, moving, increasing cells

Answer 20

Class IV (Guns)

Example: glider gun

Question 21

Conway’s Game of Life: Classification

Unstable, Predictable

Answer 21

Class V (N-ominoes)

Question 22

Conway’s Game of Life: Classification

Unstable, unpredictable

Answer 22

Class VI (?)

Question 23

These are the so-called “still lifes”; patterns that do not change over time.

Answer 23

Class I

Question 24

These are called “oscillators,” and they repeat over a certain number of generations. They are classified based on their period.

Answer 24

Class II

Question 25

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!

Answer 25

Class III ## Footnote The most well known and loved is the **glider**.

Question 26

It is an oscillator that, every 30 generations, spawns a new glider. Also known as **Gosper Glider Gun**.

Answer 26

Class IV

Question 27

Class IV is an oscillator that, every 30 generations, spawns a new glider. Also known as _.

Answer 27

Gosper Glider Gun

Question 28

_ patterns behave seemingly erratically chaotic until they eventually collapse to one of the classes above.

Answer 28

Class V

Question 29

_ patterns are doomed to a different fate: remaining in a perpetual state of chaos-forever evolving, yet never stabilizing onto something predictable.

Answer 29

Class VI

Question 30

Because the Game of Life is built on a grid of nine squares, every cell has _ neighboring cells.

Answer 30

eight

Question 31

A given cell (i, j) in the simulation is accessed on a grid, where i and j are the _ and _ indices, respectively.

Answer 31

row, column

Question 32

The value of a given cell at a given instant of time depends on the _ of its neighbors at the _ time step.

Answer 32

state, previous

Question 33

# 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.

Answer 33

Noted

Question 34

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.

Answer 34

Turing-complete