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The Game of Life, also known as Conway's Game of Life or simply Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970. [1] It is a zero-player game, [2] [3] meaning that its evolution is determined by its initial state, requiring no further input. One interacts with the Game of Life by creating an initial ...
The fumarole, a period-5 oscillator in Conway's Game of Life.The two live cells appearing at the top of the pattern every five generations are considered a spark. In Conway's Game of Life and similar cellular automaton rules, a spark is a small collection of live cells that appears at the edge of some larger pattern such as a spaceship or oscillator, then quickly dies off.
A Garden of Eden in Conway's Game of Life, discovered by R. Banks in 1971. [1] The cells outside the image are all dead (white). An orphan in Life found by Achim Flammenkamp. Black squares are required live cells; blue x's are required dead cells. In a cellular automaton, a Garden of Eden is a configuration that has no predecessor.
Some patterns require a very large number (sometimes hundreds) of glider collisions; some oscillators, exotic spaceships, puffer trains, guns, etc. Whether the construction of an exotic pattern from gliders can possibly mean it can occur naturally, is still conjecture. Gliders can also be collided with other patterns with interesting results.
Spacefiller showing the moving leading edges and the stationary still life it leaves. The cell count per generation of the above spacefiller pattern clearly showing its quadratic growth. In Conway's Game of Life and related cellular automata , a spacefiller is a pattern that spreads out indefinitely, eventually filling the entire space with a ...
Image credits: VastCoconut2609 Cognitively, pessimistic headlines and stories reinforce our negativity bias, which, according to Ruiz-McPherson, "can lead to maladaptive thought patterns ...
Evolution of an MSM breeder – a puffer that produces Gosper guns, which in turn emit gliders.. In cellular automata such as Conway's Game of Life, a breeder is a pattern that exhibits quadratic growth, by generating multiple copies of a secondary pattern, each of which then generates multiple copies of a tertiary pattern.
In a cellular automaton, an oscillator is a pattern that returns to its original state, in the same orientation and position, after a finite number of generations. Thus the evolution of such a pattern repeats itself indefinitely. Depending on context, the term may also include spaceships as well.