CARS v1.0 · NOVEL SYNTHESIS METHOD VI · 2026

CA RULE-SPACE
SYNTHESIS

Three coupled cellular automata. Layer A runs freely. Layer B's rule is rewritten by Layer A's output. Layer C's rule is rewritten by Layer B's output. Each generation produces a 1D waveform. Sweeping through all 256 rules navigates Wolfram's four complexity classes — from silence through melody through noise to universal computation.

30
Rule A
110
Rule B (live)
45
Rule C (live)
0.50
Density A
0
Edge count C
0
Generation
LAYER A — STRUCTURE
Spacetime · rule A · click row to reinit
RULE III
LAYER B — MODULATION
Spacetime · rule rewritten by A · click to reinit
BASE IV
LAYER C — AUDIO
Spacetime · rule rewritten by B · audio source
BASE III
Global Controls · Audio Output · Presets
SRC
Sound Shaping
LFO → Rule Modulation
Reverb
Delay
ELEMENTARY CA · RULE-REWRITING ARCHITECTURE
Layer A: rowA(t+1)[x] = ruleA[ rowA(t)[x-1], rowA(t)[x], rowA(t)[x+1] ]
Layer B: ruleB_live = ruleB_base XOR (densityA × coupAB × 255) then rowB(t+1) = ruleB_live[ neighbourhood ]
Layer C: ruleC_live = ruleC_base XOR (densityB × coupBC × 255) then rowC(t+1) = ruleC_live[ neighbourhood ]
Audio: signal(t) = Σₓ rowC(t)[x] / width (row sum, normalised to [-1,1])

Rule 30: Class III chaotic · Rule 110: Class IV universal computation (Turing complete) · Rule 90: Sierpiński triangle · Rule 4/8: Class II periodic · Rules 0/255: Class I dead silence