(Page 1137a) Notes for: The Principle of Computational Equivalence | Undecidability and Intractability Mathematical impossibilities It is sometimes said that in the 1800s ...

(Page 0892d) Notes for: The World of Simple Programs | Substitution Systems Paperfolding sequences The sequence of up and down creases in a strip of paper that is ...

(Page 0988e) Notes for: Mechanisms in Programs and Nature | Origins of Simple Behavior Repetition in numbers A common source of repetition in systems involving numbers is the ...

(Page 1006a) Notes for: Implications for Everyday Systems | Growth of Plants and Animals Self-limiting growth It is often said that in plants, unlike animals, there is no ...

(Page 1195c) Notes for: The Principle of Computational Equivalence | Historical Perspectives Human uniqueness The idea that there is something unique and special about humans ...

(Page 1168a) Notes for: The Principle of Computational Equivalence | Implications for Mathematics and Its Foundations Generalization in mathematics Systems that have evolved ...

(Page 0084) Then the point is that because the rules depend only on the color of a particular branch, and not on the colors of any neighboring branches, the subtrees that are ...

(Page 0147) [No text on this page] Captions on this page: Curves obtained by adding or subtracting exactly two sine or cosine functions turn out to have a pattern of axis ...

(Page 0892c) Notes for: The World of Simple Programs | Substitution Systems Representation [of substitution systems] by paths An alternative to representing substitution ...

(Page 0892e) Notes for: The World of Simple Programs | Substitution Systems 2D representations [of substitution systems] Individual sequences from 1D substitution systems can ...