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...

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

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...

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...

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...

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

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

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...

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...

wireless, Radial Splitter, Demeter HBP-1j Preamp, Tour Supply Multiselector, Fractal Audio Axe Fx, Demeter VTDB-2B DI, Demeter Tube Poweramp, Radial Jdx and...

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...

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...

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...

Biography | AllMusic". AllMusic. Retrieved 5 January 2015. "Peter Coyle fractal | the raw edges of passion | Bio". Petercoyle.com. Retrieved 27 April 2016...

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...

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...

(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...

1mm Nylon Standard Fortin Amplifiers "Meshuggah" custom amplifier heads Fractal Audio Axe-Fx Ultra (as of the obZen tour) Line 6 Vetta II Head Units T...

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

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

finding that traditional batiks from different regions of Java have distinct fractal dimensions, and stimuli to mathematics research, especially Filippo Brunelleschi's...

In mathematics, a de Rham curve is a continuous fractal curve obtained as the image of the Cantor space, or, equivalently, from the base-two expansion...

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...

Laboga. Sometime in 2012 or 2013, Cazares eventually switched from Line6 to Fractal Audio, making use of their Axe-FX II. This was short lived, as he would...

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

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

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...

rearranges a character string into runs of similar characters. This is useful for compression, since it tends to be easy to compress a string that has runs of...

Minkowski's question-mark function, denoted ?(x), is a function with unusual fractal properties, defined by Hermann Minkowski in 1904. It maps quadratic irrational...