Shannon Entropy of Center Column (window=50)
Autocorrelation of Center Column
Rule 30: Wolfram (1983). Despite a 3-cell, 8-rule definition, the center column passes randomness tests. Used in Mathematica's RNG. Class 3 (chaotic). H≈1.0 bit.
Rule 90: XOR rule — produces Sierpinski triangle. Periodic, H<1.
Rule 110: Turing complete (Cook 2004). Gliders, complex structures.
Rule 90: XOR rule — produces Sierpinski triangle. Periodic, H<1.
Rule 110: Turing complete (Cook 2004). Gliders, complex structures.