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...

The Fibonacci word fractal is a fractal curve defined on the plane from the Fibonacci word. This curve is built iteratively by applying the Odd–Even Drawing...

the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence...

the θ-coding of x. A famous example of a (standard) Sturmian word is the Fibonacci word; its slope is 1 / ϕ {\displaystyle 1/\phi } , where ϕ {\displaystyle...

Leonardo Bonacci (c. 1170 – c. 1240–50), commonly known as Fibonacci, was an Italian mathematician from the Republic of Pisa, considered to be "the most...

In mathematics, the Fibonacci numbers form a sequence defined recursively by: F n = { 0 n = 0 1 n = 1 F n − 1 + F n − 2 n > 1 {\displaystyle...

integers based on Fibonacci numbers. Each code word ends with "11" and contains no other instances of "11" before the end. The Fibonacci code is closely...

words, the largest possible palindromic density is achieved by the Fibonacci word, which has density 1/φ, where φ is the Golden ratio. A palstar is a...

calculations of pentagons and decagons; his writings influenced that of Fibonacci (Leonardo of Pisa) (c. 1170–1250), who used the ratio in related geometry...

from the original on 15 October 2012. Retrieved 2 October 2006. The Fibonacci word fractal Theiler, James (1990). "Estimating fractal dimension" (PDF)...

numbers Euler numbers Even and odd numbers Factorial numbers Fibonacci numbers Fibonacci word Figurate numbers Golomb sequence Happy numbers Highly composite...

Brahmagupta–Fibonacci identity Fibonacci coding Fibonacci cube Fibonacci heap Fibonacci polynomials Fibonacci prime Fibonacci pseudoprime Fibonacci quasicrystal...

these include the Baum–Sweet sequence, Ehrenfeucht–Mycielski sequence, Fibonacci word, Kolakoski sequence, regular paperfolding sequence, Rudin–Shapiro sequence...

The Fibonaccis were an American art rock band formed in 1981 in Los Angeles.[citation needed] The band consisted of songwriters John Dentino (keyboards)...

Menger sponge Sierpiński carpet Sierpiński triangle Apollonian gasket Fibonacci word Space-filling curve Blancmange curve De Rham curve Minkowski Dragon...

form aperiodic sequences with a similar recursive structure to the Fibonacci word. Generalizations of this tiling to three dimensions have also been studied...

assemblies of tiles called rhombs, illustrates scaling symmetry. A Fibonacci word can be used to build an aperiodic tiling, and to study quasicrystals...

critical exponent of the Fibonacci word is (5 + √5)/2 ≈ 3.618. The critical exponent of the Thue–Morse sequence is 2. The word contains arbitrarily long...

Menger sponge Sierpiński carpet Sierpiński triangle Apollonian gasket Fibonacci word Space-filling curve Blancmange curve De Rham curve Minkowski Dragon...

curves. Blancmange curve Coastline paradox De Rham curve Dragon curve Fibonacci word fractal Koch snowflake Boundary of the Mandelbrot set Menger sponge...

attributed to his technique. Fractal image generated by Electric Sheep A Fibonacci word fractal A 3D Mandelbulb fractal generated using Visions of Chaos 3D...

endomorphism 0 → 01, 1 → 10. The Fibonacci word is generated over {a,b} by the endomorphism a → ab, b → a. The tribonacci word is generated over {a,b,c} by...

needed] Circle inversion fractal De Rham curve Douady rabbit Dragon curve Fibonacci word fractal Flame fractal Fractal curve Gosper curve Gosper island H-fractal...

1202 Latin work on arithmetic by Leonardo of Pisa, posthumously known as Fibonacci. It is primarily famous for introducing both base-10 positional notation...

computer words. The worst-case space usage of a suffix tree is seen with a fibonacci word, giving the full 2 n {\displaystyle 2n} nodes. An important choice when...

K) >> (w - m); } Fibonacci hashing is a form of multiplicative hashing in which the multiplier is 2w / ϕ, where w is the machine word length and ϕ (phi)...

words. Fibonacci word Kolakoski sequence Levi's lemma Partial word Shift space Word metric Word problem (computability) Word problem (mathematics) Word problem...

{(-1)^{t_{n}}}{2^{n+1}}}=2-4\tau =0.35018386544\ldots } Euler–Mascheroni constant Fibonacci word Golay–Rudin–Shapiro sequence Komornik–Loreti constant Weisstein, Eric...

Menger sponge Sierpiński carpet Sierpiński triangle Apollonian gasket Fibonacci word Space-filling curve Blancmange curve De Rham curve Minkowski Dragon...

example is the Fibonacci word. More generally, a Sturmian word over an alphabet of size k is one with complexity n+k−1. An Arnoux-Rauzy word over a ternary...