## Feb 22, 2013

1. ### Fibonacci word - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Fibonacci_word
A Fibonacci word is a specific sequence of binary digits (or symbols from any two-letter alphabet). The Fibonacci word is formed by repeated concatenation in ...
2. [PDF]

### GENERATING FIBONACCI WORDS - The Fibonacci Quarterly

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GENERATING FIBONACCI WORDS. Wai-fong Cfauaii*. Department of Mathematics, Chung-Yuan Christian University,. Chung-Li, Taiwan 320, Republic of ...
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### The Fibonacci Word fractal

hal.archives-ouvertes.fr/.../The_Fibonacci_word_fractal.pdf
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by A Monnerot-Dumaine - 2009 - Cited by 1 - Related articles
Mar 13, 2009 – The Fibonacci Word Fractal. Alexis Monnerot-Dumaine∗. February 8, 2009. Abstract. The Fibonacci Word Fractal is a self-similar fractal curve ...
4. ### String Rewriting and the Fibonacci Word

Steve Whealton. String Rewriting and the Fibonacci Word. Something that my musical and my visual work have in common is maintaining a proper balance ...
5. ### [1212.1368] A Generalization of the Fibonacci Word Fractal and the ...

arxiv.org › cs
by JL Ramírez - 2012
Dec 6, 2012 – Abstract: In this paper we introduce a family of infinite words that generalize the Fibonacci word and we study their combinatorial properties.
6. ### Images for fibonacci word

- Report images
7. ### subwords of the fibonacci word - MathOverflow

mathoverflow.net/questions/.../subwords-of-the-fibonacci-wor...
Apr 4, 2011 – The Fibonacci word is the limit of the sequence of words starting with "0" and satisfying rules $0 \to 01, 1 \to 0$. It's equivalent to have initial ...

84. ### Fichier:Fibonacci word fractal boundary.png - Wikipédia

fr.wikipedia.org/.../Fichier:Fibonacci_word...
Fichier:Fibonacci word fractal boundary.png. Une page de Wikipédia, l'encyclopédie libre. Aller à : Navigation, rechercher. Fichier; Historique du fichier ...
85. ### File:Fibonacci Fractal F22 & F21.png - Wikipedia, the free ...

en.wikipedia.org/.../File:Fibonacci_Fractal_F22_%26_F21.png
English: Fractal based on the "Fibonacci word" or "Rabbit sequence" (Sloane A005614). Illustrates How the fractals grows F22 + F21 = F23. Date, 28 June 2008 ...
86. ### Fibonacci coding - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Fibonacci_coding
In mathematics and computing, Fibonacci coding is a universal code which encodes positive integers into binary code words. It is one example of ...
87. ### [1209.3927] Some extremal properties of the Fibonacci word

arxiv.org › cs
by A de Luca - 2012 - Related articles
Sep 18, 2012 – Abstract: We prove that the Fibonacci word $f$ satisfies among all characteristic Sturmian words, three interesting extremal properties. The first ...
88. ### On the Entropy of Random Fibonacci Words

arxiv.org › math
by J Nilsson - 2010 - Cited by 3 - Related articles
Jan 20, 2010 – We show that the topological entropy of this object is given by the growth rate of the set of inflated random Fibonacci words.
89. ### [1207.4233] Lyndon words and Fibonacci numbers

arxiv.org › math
by K Saari - 2012 - Related articles
Jul 17, 2012 – We show that this bound is optimal in that it is attained by theFibonacci Lyndon words. We then introduce a mapping L_x that counts the ...
90. [PDF]

### arXiv:1207.4233v2 [math.CO] 16 Nov 2012

arxiv.org/pdf/1207.4233
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by K Saari - 2012 - Related articles
Nov 16, 2012 – only if Lx ≥ Lf , where f is the Fibonacci infinite word, with equality if ...Keywords: Lyndon word, Fibonacci word, Central word, Golden ratio, ...
91. [PDF]

### The number of runs in Sturmian words - mimuw

duch.mimuw.edu.pl/~rytter/MYPAPERS/ciaa_proc.pdf
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by P Baturo - Cited by 18 - Related articles
highly compressible words extensively studied in combinatorics of words, includ- ing the well known Fibonacci words. The suffix automata for these words have ...
92. [PDF]

### The Number of Runs in Sturmian Words

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by P Baturo - Cited by 18 - Related articles
The standard words are a generalization of Fibonacci words and, like Fibonacci ... For example the recurrence for the 4-th Fibonacci word is: fib−1 = b, fib0 = a, ...
93. [PDF]

### Hankel determinants for the Fibonacci word and Pad e ...

www14.plala.or.jp/kamae/hankel.pdf
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Hankel determinants for the Fibonacci word and Pad e approximation. Acta Arithmetica LXXXIX.2 (1999), pp.123-161. Teturo KAMAE Jun-ichi ...
94. ### "Fibonacci Words: "Howl, Sex Orgy Poet!"" by A. Anil

digitalcommons.butler.edu › ... › Vol. 41  Iss. 3 (2008)
by A Anil - 2008
No, not a direct quote from Leonardo Fibonacci of Thirteenth Century Florence, justwords based on translating his famous number sequence into letters, with ...
95. ### Fibonacci Words ACM ICPC 2012 Problem - Java | Dream.In.Code

Oct 1, 2012 – Hi. I am new on this forum. I joined because I am preparing for a programming contest, and I tried to solve the fibonacci words ACM ICPC 2012 ...
96. ### File:Fibonacci fractal F21 & F20.png - Wikipedia, the free encyclopedia

en.wikipedia.org/.../File:Fibonacci_fractal_F21_%26_F20.png
English: Fractal based on the "Fibonacci word" or "Rabbit sequence" (Sloane A005614). Illustrates How the fractals grows F21 + F20 = F22. Date, 28 June 2008 ...
97. ### Fichier:IFS Fibonacci Word Fractal.png - Wikipédia

fr.wikipedia.org/.../Fichier:IFS_Fibonacci_...
Fichier:IFS Fibonacci Word Fractal.png. Une page de Wikipédia, l'encyclopédie libre. Aller à : Navigation, rechercher. Fichier; Historique du fichier; Utilisation du ...
98. ### Scratch | Project | Fibonacci word F11

scratch.mit.edu/projects/icampeao/1318099
Fibonacci word F11. You need Adobe Flash to play this. Loading project... If project does not load after a few moments, make sure you have Adobe Flash ...
99. [PDF]

### Problem D - ACM-ICPC Live Archive

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The Fibonacci word sequence of bit strings is defined as: F(n) = . . . 0 if n = 0. 1 if n = 1. F(n − 1) + F(n − 2) if n ≥ 2. Here + denotes concatenation of strings.
100. [PDF]

### 0Inparing thiS

apollonius.math.nthu.edu.tw/.../the_exact_number_of_squares...
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by AS Fraenkel - 1998 - Cited by 29 - Related articles
binary WOrd of length 刃 Can haVe' iS larger than that found in FibonacCi VVOrdS; ...vVe uSe SeVeTal lemmaS to eStabliSh The0rem l_ The Fibonacci WOrdS ...
101. ### algorithm - Fibonacci string array revised - Stack Overflow

stackoverflow.com/questions/.../fibonacci-string-array-revised
5 answers - 20 Mar 2011
+1: The problem gives the reverse of Fibonacci words. Can prove using induction... – Aryabhatta Mar 26 '11 at 5:10 ...
102. [PDF]

### Optimality of some algorithms to detect maximal quasiperiodicities

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by R Groult - Related articles
optimal? 2 Maximal quasiperiodicities of the Fibonacci words. As said in [3], “Fibonacci strings turn out to constitute worst cases for a number of computer ...