Two states. Four rules. Infinite complexity.
Each cell lives or dies by counting its neighbors. From this, gliders fly, guns fire, and entire computers emerge — all from a grid that knows nothing but arithmetic.
Each cell lives or dies by counting its neighbors. From this, gliders fly, guns fire, and entire computers emerge — all from a grid that knows nothing but arithmetic.
15
Generation 0
Population 0
One dimension. 256 possible rules. Some produce order, some produce chaos, and Rule 110 can compute anything a computer can.
30
Three impulses — separate, align, cohere — and a flock takes flight. No leader, no plan, just local awareness creating global harmony.
1.5
1.0
1.0
60
150
85
A seed, a rule, repeated growth. Rewrite a string, draw its path, and watch ferns, trees, and snowflakes unfold from pure grammar.
4
25
String length 0
Segments 0
Two chemicals, diffusing and reacting. From uniform nothing, spots divide, stripes ripple, and labyrinths carve themselves — the mathematics of animal markings.
0.028
0.062
10
Frame 0