×

zbMATH — the first resource for mathematics

Fibonacci words - a survey. (English) Zbl 0589.68053
The book of L, dedic. A. Lindenmayer Occas. 60th Birthday, 13-27 (1986).
[For the entire collection see Zbl 0575.00023.]
The sequence of Fibonacci words in \(\{a,b\}^*\) is defined by \(f_ 0=a\), \(f_ 1=ab\), and \(f_{n+2}=f_{n+1}f_ n\) for \(n\geq 0\). This beautiful survey presents a number of combinatorial properties in relation to the subwords of Fibonacci words as well as basic arithmetic operations in the Fibonacci number system.
Reviewer: P.Kirschenhofer

MSC:
68Q45 Formal languages and automata
11A63 Radix representation; digital problems
11B37 Recurrences