1D  /  elementary cellular automaton

SOE·Line

1D elementary cellular automata · the line before the plane
Rule
the rule, drawn — tap a result cell to flip it
famous rules
Run
generation0
live cells0
width
Seed & boundary
boundary
Tap the top row of the canvas while paused to draw your own starting line.
Display
Research
s′(i) = R[ 4·s(i−1) + 2·s(i) + s(i+1) ]
Each cell reads its left, centre and right neighbour as a 3-bit address 0–7 and looks up the answer in the rule's 8-bit table R. That one number, 0–255, is the whole physics.
rule
binary
hex
λ (Langton)
Wolfram class
symmetry family — the same automaton
mirror (L↔R)
complement
mirror + complement
Wolfram's four classes: I dies to uniform; II settles into stable or repeating structures; III is chaotic; IV is complex — localised structures that interact, the edge of chaos where Rule 110 turns out to be capable of universal computation.
Library
A link or recipe captures the whole find — rule, seed, boundary — and re-runs it exactly. Same JSON format as the other studios, ready for the shared gallery.
SOE Line v1.0 · elementary cellular automata