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...

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...

molecules all relate to fractal curves. Blancmange curve Coastline paradox De Rham curve Dragon curve Fibonacci word fractal Koch snowflake Boundary of...

October 2012. Retrieved 2 October 2006. The Fibonacci word fractal Theiler, James (1990). "Estimating fractal dimension" (PDF). J. Opt. Soc. Am. A. 7 (6):...

mathematics, the Fibonacci sequence is a sequence in which each term is the sum of the two terms that precede it. Numbers that are part of the Fibonacci sequence...

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

inversion fractal De Rham curve Douady rabbit Dragon curve Fibonacci word fractal Flame fractal Fractal curve Gosper curve Gosper island H-fractal Hénon map...

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

also applying the same analysis to classical fractal structures including the Apollonian gasket, Fibonacci word, Koch snowflake, Minkowski sausage, pinwheel...

Fractals "Julia set", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Weisstein, Eric W. "Julia Set". MathWorld. Bourke, Paul. "Julia set fractal...

cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of the one-dimensional...

referred to a method of creating a fractal, using a polygon and an initial point selected at random inside it. The fractal is created by iteratively creating...

properties of the Fibonacci morphism. That fractal set can be generalized to other maps over a 3-letter alphabet, generating other fractal sets with interesting...

commonly occurring fractals are described by the dyadic monoid; additional examples can be found in the article on de Rham curves. Other fractals possessing self-similarity...

An ordinary fractal string Ω {\displaystyle \Omega } is a bounded, open subset of the real number line. Such a subset can be written as an at-most-countable...

investigate some patterns physically. The technique arose out of and is used in fractal analysis. It also has application in related fields such as lacunarity...

sculpture by Bathsheba Grossman, 2007 Fractal sculpture: 3D Fraktal 03/H/dd by Hartmut Skerbisch, 2003 Fibonacci word: detail of artwork by Samuel Monnier...

parent (base case), or One's parent's ancestor (recursive step). The Fibonacci sequence is another classic example of recursion: Fib(0) = 0 as base case...

feedback vertex set Ferguson–Forcade algorithm Fibonacci number Fibonacci search Fibonacci tree Fibonacci heap Find find kth least element finitary tree...

what is now known as the Fibonacci sequence (known to Indian mathematicians for hundreds of years before that) which Fibonacci used as an unremarkable...

decorate buildings, both inside and outside. Some Hindu temples have a fractal-like structure where parts resemble the whole, conveying a message about...

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

mathematics in music include the stochastic music of Iannis Xenakis, the Fibonacci sequence in Tool's Lateralus, counterpoint of Johann Sebastian Bach, polyrhythmic...

statistical quality):[citation needed] ACORN generator Blum Blum Shub Lagged Fibonacci generator Linear congruential generator Mersenne Twister Coloring algorithm:...

theory Dynamical system (definition) Embodied Embedded Cognition Fibonacci numbers Fractals Gingerbreadman map Halo orbit List of types of systems theory...

arise in applications have a relatively simple combinatorial description. Fibonacci numbers is the basic example of a problem in enumerative combinatorics...

also found in formulae from other topics in science, such as cosmology, fractals, thermodynamics, mechanics, and electromagnetism. It also appears in areas...

Leonardo Fibonacci who identified natural patterns of growth found throughout the universe, from the shapes of shells and pines cones to fractal patterns...

Pentominoes (Oct 1965) The mathematical art of M. C. Escher (Apr 1966) Fractals and the Koch snowflake curve (Mar 1967) Conway's Game of Life (Oct 1970)...

the propositional calculus 1969 Mar The multiple fascinations of the Fibonacci sequence 1969 Apr An octet of problems that emphasize gamesmanship, logic...