http://www.mathshelper.net/cellular_automata.html

Cellular Automata

cellular automata life
This animation is based on John Conway's 'GAME OF LIFE', for further information search the web for 'CELLULAR AUTOMATA'.

OR Just have fun with it!

Each cell represents an organism which can be alive (red) or dead (blue).
Whether a cell lives or dies depends on the number of its immediate neighbours.
Change the size of the 'neighbourhood' with the green matrix and its buttons.
The default setting is: 3 neighbours - cell is born, 2 neighbours - a live cell will survive, all other cases - cell dies.
You can change these rules using the table on the right.
You can set more complicated rules by switching to'level 2': "2-5,7,9" will set a rule for counts of 2,3,4,5,7 and 9

You can change the size of the grid (universe) but more than 100 gets quite slow.

Set your own patterns by clicking in cells

Change the random pattern density and the cell size

Click the 'explain' button again to clear this message.
red/blue
black/white
universe
interval
cell size
random density
%

glidertoad
acornrandom
die hardblank
0 0 0=>
0 0 1=>
0 1 0=>
0 1 1=>
1 0 0=>
1 0 1=>
1 1 0=>
1 1 1=>
born
survive
die
count born survive die
0
1
2
3
4
5
6
7
8
X
neighbourhood
1 2 3