(Page 0956d) Notes for: Starting from Randomness | Special Initial Conditions Square root of rule 30 Although rule 30 cannot apparently be decomposed into other k=2 , r=1 ...

(Page 0956) Notes for: Starting from Randomness | The Notion of Attractors NOTES FROM PAGE Fractal dimensions [of additive cellular automata] General associative [cellular ...

(Page 0955f) Notes for: Starting from Randomness | Special Initial Conditions Fractal dimensions [of additive cellular automata] The total number of nonzero cells in the ...

(Page 0140) But how is such randomness produced? The picture at the top of the facing page shows an example of a procedure for generating the base 2 digit sequence for the ...

(Page 0925d) Notes for: Systems Based on Numbers | Continuous Versus Discrete Systems [The word] "calculus" It is an irony of language that the word "calculus" now associated ...

(Page 0956e) Notes for: Starting from Randomness | Special Initial Conditions Nested initial conditions [in cellular automata] The pictures below show patterns generated by ...

(Page 0702) [No text on this page] Captions on this page: Examples of using various specific elementary cellular automata to emulate other elementary cellular automata. In ...

(Page 0932e) Notes for: Two Dimensions and Beyond | Substitution Systems and Fractals Dragon curve The pattern shown here can be obtained in several related ways, including ...

(Page 0956b) Notes for: Starting from Randomness | Special Initial Conditions Nesting in rule 45 As illustrated on page 701 , starting from a single black cell on a ...

(Page 0956f) Notes for: Starting from Randomness | The Notion of Attractors [Attractors in] discrete systems In traditional mathematics mechanical and other systems are ...