Notes

Chapter 2: The Crucial Experiment


Section 1: How Do Simple Programs Behave?https://www.wolframscience.com/nks/chap-2--the-crucial-experiment--notes#sect-2-1--how-do-simple-programs-behave

Implementing cellular automata Bitwise optimizations [of cellular automata] More general [cellular automaton] rules Built-in cellular automaton function Special-purpose hardware [for cellular automata] Audio representation [of cellular automata] Cellular automaton rules as formulas Mathematical interpretation of cellular automata Pascal's triangle and rule 90 Self-similarity [of rule 90] Another initial condition [for rule 90] More colors [in additive cellular automata] History [of Pascal's triangle mod k] [Patterns from] other integer functions [Patterns from] bitwise functions Tests of randomness Rule 30 Rule 110

Section 2: The Need for a New Intuitionhttps://www.wolframscience.com/nks/chap-2--the-crucial-experiment--notes#sect-2-2--the-need-for-a-new-intuition

Reactions of scientists Intuition from practical computing Applications to design

Section 3: Why These Discoveries Were Not Made Beforehttps://www.wolframscience.com/nks/chap-2--the-crucial-experiment--notes#sect-2-3--why-these-discoveries-were-not-made-before

Ornamental art Recognition of art The concept of rules Understanding nature Atomism History of cellular automata Close approaches [to core discoveries] The importance of explicitness My work on cellular automata My papers Code 10

From Stephen Wolfram: A New Kind of Science [citation]