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...

In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding...

subdivision rule. The complement of the Cantor ternary set is an example of a fractal string. In arithmetical terms, the Cantor set consists of all real numbers...

In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map in...

A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. The...

character string} rules  : (A → ABA), (B → BBB) Let A mean "draw forward" and B mean "move forward". This produces the famous Cantor's fractal set on a...

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

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...

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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...

Julia set of f {\displaystyle f} , which forms a fractal pattern, sometimes called a "Collatz fractal". There are many other ways to define a complex interpolating...

are black with a custom logo. Carpenter's current rig consists of only a Fractal Audio Axe-FX II running straight into the venue's PA system. He also uses...

genres. Then in 2023, he released his album AntiFractals. The album remixes each song from the original Fractals album and some of his prior hits. These remixes...

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...

the study of fractals and multi-fractal measures, and expressions for the entropy of chaotic dynamical systems. The relationship to fractals and dynamical...

Primetone Standard with grip and Jim Dunlop 1.00mm Nylon Standard picks. Fractal Audio Systems Axe-FX II (used for all clean tones with effects and distorted...

and amplifiers, often taking advantage of both. For most of the 2010s, Fractal Audio's AXE-FX II was central to his signal chain, though the final third...

variant of the same idea. In general, there exist more definitions of fractal dimensions that work for highly irregular sets and attain non-integer positive...

{\displaystyle t^{0.6826}} , giving a spectral dimension of 1.3652. Dimension Fractal dimension Hausdorff dimension Ambjørn, J.; Jurkiewicz, J.; Loll, R. (2005-10-20)...

Sometime in 2012 or 2013, Cazares eventually switched from Line 6 to Fractal Audio, making use of their Axe-FX II. This was short lived, as he would...

topic of: Fractals/Iterations_of_real_numbers/r_iterations#Logistic_map The Chaos Hypertextbook. An introductory primer on chaos and fractals. An interactive...

v t e Mathematics and art Concepts Algorithm Catenary Fractal Golden ratio Hyperboloid structure Minimal surface Paraboloid Perspective Camera lucida...

Maconchy String Quartet No. 3 (Marco), Anatomía fractal de los ángeles by Tomás Marco String Quartet No. 3 (Mendelssohn) by Felix Mendelssohn String Quartet...

(1999). "The Central Programme of Twistor Theory". Chaos, Solitons and Fractals. 10 (2–3): 581–611. Bibcode:1999CSF....10..581P. doi:10.1016/S0960-0779(98)00333-6...

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(2024) Daemoness Cimmerian 6 String (Featuring Valkyrie hand painted finish) Elixir Strings Artist - NANOWEB Coating Fractal Audio Axe-FX Neural DSP Dick...

being a single spherically symmetric expanding balloon, becomes a huge fractal, an inflationary multiverse consisting of many different pocket universes...

rearranges a character string into runs of similar characters, in a manner that can be reversed to recover the original string. Since compression techniques...

N.; De Castro, Rodrigo (2014), "A generalization of the Fibonacci word fractal and the Fibonacci snowflake", Theoretical Computer Science, 528: 40–56...

A Douady rabbit is a fractal derived from the Julia set of the function f c ( z ) = z 2 + c {\textstyle f_{c}(z)=z^{2}+c} , when parameter c {\displaystyle...