(Page 0911f) Notes for: Systems Based on Numbers | Mathematical Constants Digits of pi The digits of π shown here can be obtained in less than a second from Mathematica on a ...

(Page 0928e) Notes for: Two Dimensions and Beyond | Cellular Automata Ulam systems Having formulated the system around 1960, Stanislaw Ulam and collaborators (see page 877 ) ...

(Page 0950d) Notes for: Starting from Randomness | Systems of Limited Size and Class 2 Behavior Maximum periods [in cellular automata] A cellular automaton with n cells and k ...

(Page 1023d) Notes for: Fundamental Physics | Conserved Quantities and Continuum Phenomena Block cellular automata With a rule of the form {{1,1}->{1,1}, {1,0}->{1,0}, ...

(Page 1120g) Notes for: The Notion of Computation | Universality in Turing Machines and Other Systems [Methods of] encoding sequences by integers In many constructions it is ...

(Page 0869a) Notes for: The Crucial Experiment | How Do Simple Programs Behave? Audio representation [of cellular automata] A step in the evolution of a cellular automaton ...

(Page 0898d) Notes for: The World of Simple Programs | Symbolic Systems Network analogs [of symbolic systems] The state of a symbolic system can always be viewed as ...

(Page 0905f) Notes for: Systems Based on Numbers | Elementary Arithmetic Digit count sequences Starting say with {1} repeatedly replace list by ...

(Page 0917b) Notes for: Systems Based on Numbers | Mathematical Functions Lissajous figures Plotting multiple sine functions each on different coordinate axes yields ...

(Page 0928b) Notes for: Two Dimensions and Beyond | Cellular Automata Growth [2D cellular automaton] rules The pictures below show examples of rules in which a cell becomes ...