John Conway's Game of Life. The Game 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 collection 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. The Rules For a space that is 'populated': Each cell with one or no neighbors dies, as if by loneliness. 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. The Controls Choose a figure from the pull-down menu or make one yourself by clicking on the cells with a mouse. The Download Download the free program. Download page of the Game of Life The Source Code More information.

Emergence. In philosophy, systems theory, science, and art, emergence is a process whereby larger entities, patterns, and regularities arise through interactions among smaller or simpler entities that themselves do not exhibit such properties.

Emergence is central in theories of integrative levels and of complex systems. For instance, the phenomenon life as studied in biology is commonly perceived as an emergent property of interacting molecules as studied in chemistry, whose phenomena reflect interactions among elementary particles, modeled in particle physics, that at such higher mass—via substantial conglomeration—exhibit motion as modeled in gravitational physics. Neurobiological phenomena are often presumed to suffice as the underlying basis of psychological phenomena, whereby economic phenomena are in turn presumed to principally emerge. In philosophy, emergence typically refers to emergentism. In philosophy[edit] Main article: Emergentism Definitions[edit] Strong and weak emergence[edit] Life 3d.

3D Game of Life. Press & Drag mouse to rotate a life form.

Press Enter to set new parameters values from the text fields. You can choose any reasonable N - size of the grid (e.g. N < 25 for PII-400). The applet will restore the initial "ooo" structure when you change N. Selector Periodic turns on/off periodic boundary conditions. Rules: a new ball will appear if the number of neighbors (Sum) is equal or more than r1 and equal or less than r2. a ball will die if the Sum is more than r3 or less than r4. if ( (L[p]==0)&&(Sum[i][j][k]>=r1)&&(Sum[i][j][k]<=r2) ) L[p]=1; else if ( (L[p]!

You can set your own "initial structure" (e.g. It is evident that: a small 2x2x2 cube is stable for R = (5,5,7,7) and a 2x2x1 square is stable for R = (5,5,3,3)a 3x3x3 octahedron for R = (6,6,5,3) has an "oscillating" ball in the center and a 3x3x1 rhomb for N = 5, 9 and R = (3,3,4,4) makes moving, oscillating structures too (see simple oscillators). Michael Toftdal sent me several oscillators too. 3D lattices 6 neighbors Game.