Fractal - Wikipedia
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly small… See more
EtymologyThe term "fractal" was coined by the mathematician Benoît Mandelbrot in 1975. Mandelbrot based it on … See more
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WEBFractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Learn more about fractals, chaos theory, and …
WEBLearn what fractals are, how they arise from self-similar patterns and iterated rules, and how to measure their dimensions. Explore fractals in geometry, algebra, and nature with interactive diagrams and exercises.
Interesting reads - Fractals
Powered by Microsoft StartLearn what fractals are, how they are created, and why they are important in math and nature. Explore the history, terminology, and examples of fractals, fro…
- Published: Oct 31, 2023
WEBMay 20, 2024 · A fractal is a complex geometric shape that has fractional dimension and self-similarity. Learn about the history, properties, and uses of fractals in mathematics, …
WEBMay 21, 2024 · Fractals are infinitely complex patterns that are self-similar across different scales. Learn how fractals are made, why they are common in nature, and how they …
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WEBSep 12, 2020 · Fractals are mathematical sets, usually obtained through recursion, that exhibit interesting dimensional properties. We’ll explore what that sentence means through the rest of this section. For now, we can …
Fractals in Math - Definition, Types, & Examples
WEBJan 29, 2024 · Learn what fractals are, how they exhibit self-similarity, and how they are classified into three types: self-similar, self-affine, and invariant. Explore examples of …
WEBDec 11, 2012 · Fractals are complex and intricate shapes that occur in nature and mathematics. Learn about their four key features: infinite intricacy, zoom symmetry, complexity from simplicity and fractional …
WEBFRACTALS is an interdisciplinary journal on complex geometry, patterns and scaling. Covers recent developments in complex spatial and temporal behaviors in both nature and society.
What is a fractal (and what are they good for)? - Khan Academy
WEBLearn what fractals are, how they are created by repeating mathematical equations, and how they can be found in nature and technology. Watch a video by a MIT student and …
What Is A Fractal (and what are they good for)? - YouTube
WEBJun 11, 2015 · Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious …
Fractal -- from Wolfram MathWorld
WEB5 days ago · A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at …
9 Amazing Fractals Found in Nature - Treehugger
WEBMay 30, 2024 · Learn how fractals, geometric shapes that display similarity through the full range of scale, appear in nature as evolutionary adaptations. See examples of fractals in …
6.3.1: Fractal Dimension - Mathematics LibreTexts
WEBTo explore this idea, we need to discuss dimension. Something like a line is 1-dimensional; it only has length. Any curve is 1-dimensional. Things like squares and circles are 2 …
Fractals – Mathigon
WEBLearn what fractals are and how they occur in nature and mathematics. Explore examples of fractals such as the Sierpinski triangle, the Mandelbrot set, and space filling curves.
What is a Fractal? - The Ultimate Guide to Understanding Fractals
WEBWhen electricity passes through a medium that does not conduct electricity well (like air) the pattern that is created becomes Fractal. The reason this phenomenon forms is …
What a Fractal Is and Why You Should Care - Science Notes and …
WEBMay 12, 2016 · What Is a Fractal? A fractal is a mathematical equation that displays a repeating pattern, no matter what scale you examine it. It can also be described as a …
Fractal Geometry - Yale University
WEBA tutorial on basic fractal geometry and a panorama of uses of fractals, with supporting software, laboratory exercises, and resources for teachers.
Fractals - Encyclopedia of Mathematics
WEBApr 16, 2014 · Fractals. fractal sets. Originally defined by B.B. Mandelbrot as point sets with non-integer dimension in the sense of Hausdorff–Besicovitch (cf. Dimension ). Classical …
How Mandelbrot's fractals changed the world - BBC News
WEBOct 18, 2010 · By Jack Challoner. Science writer. In 1975, a new word came into use, when a maverick mathematician made an important discovery. So what are fractals? And why …
What Are Fractals? History and Explanation - Owlcation
WEBHave you heard of "fractals"? What are they? Have you seen them? How do they work? Have we discovered every fractal? Read on for the answers to these questions and …
Online fractal creator | snowflake | Sierpinski | fractal tree - Visnos
WEBtoggle pan zoom, if on click and drag on main surface to pan, mouse wheel to zoom. Fractal explorer, simple to create beautiful fractal designs. Adjust interactive sliders to change …
