Showing posts with label John Horton Conway. Show all posts
Showing posts with label John Horton Conway. Show all posts

Thursday, April 23, 2020

The Game of Life and the multiverse

John Horton Conway
As I said in the previous post in this blog, The Game of Life is a cellular automaton devised by John Conway. Let's see how it works, in a little more detail:
This cellular automaton acts on a potentially infinite two-dimensional space, divided into square cells. In each cell there is a simple automaton, or if you want, a program with two states that we can call alive and dead, or 1 and 0. The program in each cell takes as input its own state and the states of its eight neighbors. If it is alive (i.e. in state 1) and two or three of its neighbors are alive, in the next instant it will still be alive. If it is dead (in state 0) and exactly three of its neighbors are alive, in the next instant it will become alive. In any other case, it will become dead. Let's look at a figure to make it clearer:

Thursday, April 16, 2020

Cellular automata and the game of life

John Horton Conway
On April 11, the mathematician John Horton Conway, age 82, died of the coronavirus disease (COVID-19). Conway became famous during the 1970s for inventing a very special cellular automaton, the Game of Life, which turned out to possess peculiar properties.
Contrary to what is done with most scientific discoveries, Conway did not publish his invention of the Game of Life in a typical scientific journal. It was first published in the Mathematical Games section of the Scientific American magazine, written by Martin Gardner. The article, titled The Fantastic Combinations of John Conway's New Solitaire Game 'Life', appeared in the October 1970 issue.