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- nounfractal (noun) · fractals (plural noun)
- a curve or geometric figure, each part of which has the same statistical character as the whole. Fractals are useful in modeling structures (such as eroded coastlines or snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth, fluid turbulence, and galaxy formation.
adjectivefractal (adjective)Origin1970s: from French, from Latin fract- ‘broken’, from the verb frangere. - People also ask
- A fractal is a mathematical concept that describes a complex geometric shape that has a similar pattern at any scale12345. Fractals have a fractional dimension that exceeds their topological dimension35. Fractals are often found in nature, such as in the branching of trees, the shape of coastlines, or the structure of snowflakes45.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.fractal noun [ C ] mathematics specialized uk / ˈfræk.t ə l / us / ˈfræk.t ə l / Add to word list a complicated pattern in mathematics built from simple repeated shapes that are reduced in size every time they are repeated: The way that the trunk of a tree divides into smaller and smaller branches and twigs is an approximate fractal pattern.dictionary.cambridge.org/dictionary/english/fractalfrac·tal ˈfrak-tᵊl : any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same sizewww.merriam-webster.com/dictionary/fractalIn mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.en.wikipedia.org/wiki/FractalFractal definition: an irregular geometric structure that cannot be described by classical geometry because magnification of the structure reveals repeated patterns of similarly irregular, but progressively smaller, dimensions.www.dictionary.com/browse/fractalFractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918.www.britannica.com/science/fractal Fractal Definition & Meaning - Merriam-Webster
Jul 3, 2024 · A fractal is an irregular shape that looks the same at any scale on which it is examined. Learn more about the origin, examples, and applications of fractals in mathematics, science, and art.
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.
What are Fractals? – Fractal Foundation
Fractals 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 how …
FRACTAL | English meaning - Cambridge Dictionary
A fractal is a complicated pattern in mathematics that repeats at different scales, such as a coastline or a tree branch. Learn more about fractals, their properties, and how to use them in different contexts.
FRACTAL Definition & Meaning | Dictionary.com
Fractal definition: an irregular geometric structure that cannot be described by classical geometry because magnification of the structure reveals repeated patterns of similarly irregular, but progressively smaller, dimensions. See examples of FRACTAL used in a sentence.
Fractal | Mathematics, Nature & Art | Britannica
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, nature, and art from Britannica.
How Fractals Work | HowStuffWorks
Fractals are irregular and fragmented geometric shapes or patterns that repeat a simple formula infinitely. Learn about the history, terminology and applications of fractals in nature, art and mathematics.
Explainer: what are fractals? - The Conversation
Fractals are complex shapes that repeat themselves at different scales, such as ferns, lightning bolts and Mandelbröt sets. Learn how fractals are defined, generated and found in nature with this article by a mathematician.
FRACTAL | definition in the Cambridge English Dictionary
A fractal is a shape that repeats the same or similar patterns in different sizes. Learn more about fractals, see examples and translations in different languages.
fractal noun - Definition, pictures, pronunciation and usage notes ...
Definition of fractal noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Fractal -- from Wolfram MathWorld
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 all scales, but the same "type" of structures must appear on all scales.
Fractals in Math - Definition, Types, & Examples
Fractals are patterns that never end and exhibit self-similarity at different scales. Learn about the three types of fractals, how to construct them, and how they are used in computer graphics and data compression.
Fractals | Brilliant Math & Science Wiki
Fractals are curves or geometric figures that repeat themselves at smaller scales. Learn how to generate, measure, and describe fractals in geometry and algebra, and see how they appear in nature.
What are Fractals? – Fractal Foundation
Fractals 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. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos.
What a Fractal Is and Why You Should Care - Science Notes and …
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 pattern of chaos. Fractals can be described using mathematical sets, but you also see them all the time in nature.
7.4: Fractals - Mathematics LibreTexts
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 begin with the idea of self-similarity, a characteristic of most fractals.
Fractal - Definition, Meaning & Synonyms | Vocabulary.com
In math, a fractal is an infinite pattern that appears similar no matter how closely you look at it. While fractals are quite complex, they're formed by simple equations that repeat endlessly.
FRACTAL definition and meaning | Collins English Dictionary
A fractal is a shape or structure that has the same pattern at different scales, such as a corkscrew or a snowflake. Learn more about fractal geometry, dimensions, and applications in mathematics and physics with Collins Dictionary.
Fractal Definition (Illustrated Mathematics Dictionary) - Math is Fun
Illustrated definition of Fractal: Fractals have a pattern that we see again after zooming in. The pattern can be: perfectly the same,...
Fractal Definition & Meaning | YourDictionary
Fractal definition: An object whose parts, at infinitely many levels of magnification, appear geometrically similar to the whole. Fractals are used in the design of compact antennas and for computer modeling of natural-looking structures like clouds and trees.
What is a fractal (and what are they good for)? - Khan Academy
Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, an undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature.
Fractal - definition of fractal by The Free Dictionary
n. An object whose parts, at infinitely many levels of magnification, appear geometrically similar to the whole. Fractals are used in the design of compact antennas and for computer modeling of natural-looking structures like clouds and trees.
fractal - Wiktionary, the free dictionary
fractal (plural fractals) (mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at all scales and thus has infinite complexity.
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