Year: 2022

MARTIN GARDER ON LIFE. "In a few cases the society eventually dies out (all counters vanishing), although this may not happen until after a great many generations. Most starting patterns either reach stable figures--Conway calls them "still lifes"--that cannot change or patterns that oscillate forever. Patterns with no initial symmetry tend to become symmetrical. Once this happens the symmetry cannot be lost, although it may increase in richness." https://lnkd.in/dN_g3Fs View in LinkedIn

GROWTH LIMITS. "Conway conjectures that no pattern can grow without limit. Put another way, any configuration with a finite number of counters cannot grow beyond a finite upper limit to the number of counters on the field. This is probably the deepest and most difficult question posed by the game." https://lnkd.in/dN_g3Fs View in LinkedIn

"A CELLULAR AUTOMATON is the child of mathematicians interested in the theory of self-reproducing objects. Alan Turing created already the computer and its algorithms with this idea in mind. John von Neumann built the theory for a self-reproducing machine." https://lnkd.in/d3B2FKW View in LinkedIn

COMPLEXITY FROM SIMPLICITY. "The mathematician John Conway has put theory into practice when he created the Game of Life in 1970. The huge interest for this game derives from its incredible power to create very complex objects from ridiculously simple rules and especially to the visual displays that are much more meaningful for us than dry equations, of course." https://lnkd.in/d3B2FKW View in LinkedIn

MATHEMATICAL RULES from the Game of Life. "The relative low density of stable life (resulting when we start with pseudo-random primordial soup) is more than compensated for by the rich variety and symmetry of small Life forms." https://lnkd.in/dN_g3Fs View in LinkedIn

EXPANSION TO 3D. "But let us expand the two-dimensional hexagonal grid into three dimensions...Conway's entire universe, or an infinite number of parallel universes, can be contained with time-space barriers." https://lnkd.in/dN_g3Fs View in LinkedIn

SMALL GENERATING HUGE. "A year before Conway's paper, Konrad Zuse - a german computer scientist - created Digital Physics where he suggests that the universe could be discrete (finite and fundamentally composed only of finite numbers) and the output of a huge cellular automaton!" https://lnkd.in/d3B2FKW View in LinkedIn

THE GAME OF LIFE. "Ever since its publication, Conway's Game of Life has attracted much interest, because of the surprising ways in which the patterns can evolve." https://lnkd.in/dzs-Kxk View in LinkedIn

SIMPLE SYSTEM. "Self-replication in Conway's Life has been a topic for discussion and research from the very beginning, over forty years ago now (!). The original purpose of Conway's Life was to find a simplification of John von Neumann's self-replicating machine designs, which used a CA rule with 29 states." https://lnkd.in/dNTQG9j View in LinkedIn

CUMBERSOME START. "In 2009, Adam P. Goucher put together a working universal computer-constructor that could be programmed to make a complete copy of itself. The pattern, however, is so huge and slow that it would have taken an enormous amount of work to program it to self-replicate -- it would have been easier to come up with a new replicator design from scratch. Clearly, in hindsight, everyone was waiting for something better to come along." https://lnkd.in/dNTQG9j View in LinkedIn