Conway’s Game of Life

........................................................O. .......................................................O.. .......................................................OOO .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... ............O............................................. ............OOO........................................... ...............O.......................................... ..............OO.......................................... ........O................................................. .......O.O.......OO....................................... .......O.O......O.O....................................... .....OOO.OO.....OO........................................ ....O..................................................... .....OOO.OO............................................... .......O.OO............................................... .......................................................... .......................................................... .......................................................... OO........................................................ .O........................................................ .O.O...................................................... ..OO...................................................... .......................................................... ....................O..................................... ...................O.O.................................... ...................O...................................O.. ....................O................................OOO.. ....................................OO...............O.... ..O.................................OO...............O.... ..O.O..................................................... ..OOO..................................................... ....O....................O................................ ........................O.O............................... ........................OO................................ ...................OO............OO....................... ...................OO............O........................ ..................................O....................... .................................OO....................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... .......................................................... ..OO..........OO.......................................... ...O..........O........................................... OOO............OOO........................................ O................O........................................

Life Lexicon

This Life lexicon is compiled by Stephen A. Silver from various sources and may be copied, modified and distributed under the terms of the Creative Commons Attribution-ShareAlike 3.0 Unported licence. See the original credit page for all credits and the original download location. (CC BY-SA 3.0)

Stop and restart

A type of signal circuit where an input signal is converted into a stationary object, which is then re-activated by a secondary input signal. This can be used either as a memory device storing one bit of information, or as a simple delay mechanism. In the following January 2016 example by Martin Grant, a ghost Herschel marks the output signal location, and a "ghost beehive" marks the location of the intermediate still life.

Game of Life pattern ’stop_and_restart’

The eater1 in the lower left corner catches the restart glider if no input signal has come in to create the beehive. This eater could be removed if it is useful to have both a "0" and a "1" output for a memory cell mechanism.

The catch and throw technology in a Caterpillar is a somewhat similar idea. See also stop and go and reanimation.

Game of Life Explanation

The Game of Life is not your typical computer game. It is a cellular automaton, and was invented by Cambridge mathematician John Conway.

This game became widely known when it was mentioned in an article published by Scientific American in 1970. It consists of a grid of cells which, based on a few mathematical rules, can live, die or multiply. Depending on the initial conditions, the cells form various patterns throughout the course of the game.

Rules

For a space that is populated:
Examples

Each cell with one or no neighbors dies, as if by solitude.

Each cell with four or more neighbors dies, as if by overpopulation.

Each cell with two or three neighbors survives.

For a space that is empty or unpopulated:

Each cell with three neighbors becomes populated.

More information

Video’s about the Game of Life

Stephen Hawkings The Meaning of Life (John Conway's Game of Life segment)
The rules are explained in Stephen Hawkings’ documentary The Meaning of Life
Inventing Game of Life (John Conway) - Numberphile
John Conway himself talks about the Game of Life

Interesting articles about John Conway

Products I Use and Love

These are services I personally use and trust every day. These links are affiliate links, which means I may earn a commission if you choose to make a purchase—at no extra cost to you. This helps support this site and allows me to continue improving it. Thank you for your support!

This site is made by Edwin Martin <>