The Game of Life emerged as Conway's successful attempt to simplify von Neumann's ideas. The game made its first public appearance in the October 1970 issue of Scientific American , in Martin Gardner 's "Mathematical Games" column, under the title of The fantastic combinations of John Conway's new solitaire game "life" .

Conway's Game of Life is a cellular automaton that is played on a 2D square grid. Each square (or "cell") on the grid can be either alive or dead, and they evolve according to the following rules: Any live cell with fewer than two live neighbours dies (referred to as underpopulation).

Life itself is specified by "B3/S23" or "23/3", but since S/B notation has fallen out of style, we'll only be focussing on B/S notation for the rest of this tutorial. So, let's look at Life's B3/S23. In Life: A dead cell gets born if and only if it has three live neighbors; this is expressed by "B3".

The black/white reversal of Conway's Game of Life. B0123478/S34678: InverseLife: A rule by Jason Rampe, showing similar oscillators and gliders to Conway's Game of Life. The black/white reversal of B3678/S23. B01245/S01245: B01245/S01245

Rules. B3/S23 (Conway's Game of Life): This rule has birth on 3 neighbors, and survival on 2 or 3 neighbors. This is one of the most interesting, and most widely studied two-dimensional cellular automata, and the subject of most of these pages.

As others have said, there are no official border rules because Conway designed the game for an infinite grid. As such there are no borders to make rules about. If you are implementing this as a computer program and you want to give the illusion of an infinite grid that goes on beyond the user's view, you must design the program so that it ...

Conway's Game of Life is known to be universal, with 2 states and the Moore neighbourhood. Conway did not design Life for this purpose, unlike von Neumann's, Codd's, Banks' and Serizawa's rules, but he did deliberately choose a set of rules known to exhibit sufficiently complex behavior that self-replication was likely to be possible.

Aug 30, 2023 · The rulestring of Conway's Game of Life is B3/S23. S/B notation. The most common other format is {number list}/{number list}, called "S/B notation", where the number lists are the numbers of neighbours that cause a live cell to survive and a dead cell to be born respectively. In this format, Conway's Game of Life would have the rulestring 23/3.

Sep 11, 2023 · ↑ In common usage, different variations of "lifelike" are also frequently used to refer to other rules that do not necessarily meet all of the criteria listed above (example 1, example 2); a two-state non-totalistic rule, or any rule that is in some sense similar to Conway's Game of Life in behaviour, may also be referred to as life-like ...

Feb 27, 2025 · Paul's Page of Conway's Life Miscellany. Retrieved on April 18, 2009. ↑ David Bell. "New c/5 spaceship". Paul's Page of Conway's Life Miscellany. Retrieved on April 18, 2009. ↑ David Eppstein (April 26, 2000). "Searching for Spaceships (PDF)". Retrieved on December 4, 2023. ↑ Oblique Life spaceship created at Game of Life News. Posted by ...