fractal
From Wiktionary, the free dictionary
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Etymology
From French fractal, from Latin fractus (“broken”), perfect passive participle of frangō (“break, fragment”).
Pronunciation
Noun
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 arbitrarily small scales and thus has infinite complexity.
- (by extension) An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
- 1999, John J. McGonagle, Carolyn M. Vella, The Internet Age of Competitive Intelligence, →ISBN:
- In essence, you are assuming that each segment of a company is a fractal of the whole […]
Hyponyms
- See also Thesaurus:fractal
Derived terms
Translations
mathematical figure that is self-similar at all scales
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anything exhibiting self-similarity at many scales
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Adjective
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fractal (not comparable)
- (mathematics) Having the form of a fractal; having to do with fractals.
- 2015 January 26, Mark Diacono, “How to grow and cook cauliflower, 2015's trendiest veg: Tricky to grow, boring to boil ... so why is the outmoded cauliflower back at the culinary cutting edge? [print version: Cauliflower power, 24 January 2015, pp. G1 & G3]”, in The Daily Telegraph (Gardening):
- Romanesco was my gateway cauli and I've never stopped growing it. Not a variety as much as its own thing, Romanesco is a cauliflower to the French, a calabrese to the Italians. […] Visually, it may be the most remarkable thing you can grow: it is made up of lime-green mini-spirals that coil around themselves in fractal formation.
- (by extension, sometimes figurative) Exhibiting a fractal-like property.
- 2007, Vincent Spina, “Three Central American writers: alone between two cultures”, in Carlota Caulfield, Darién J. Davis, editors, Companion to United States Latino Literatures, →ISBN:
- A fractal situation emerges in this way then: the consequences of Ulysses' decision to abandon Calypso are not entirely predictable.
- 2020, Frank E. Zachos, Les Christidis, Stephen Garnett, “The Tree of Life, however, is an encaptic system displaying a nested hierarchy with a fractal pattern (lineages within lineages).”, in Mammalia, volume 84, number 1, page 2:
Derived terms
Translations
having the form of a fractal
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See also
fractal on Wikipedia.Wikipedia - Mandelbrot set
- Julia set
Anagrams
Pronunciation
Noun
fractal f (plural fractals)
Adjective
fractal m or f (masculine and feminine plural fractals)
Etymology
Coined by Benoît Mandelbrot in 1975, from Latin fractus + -al.
Pronunciation
Adjective
fractal (feminine fractale, masculine plural fractals or fractaux, feminine plural fractales)
Noun
Alternative forms
- fratal (Portugal, nonstandard)
Pronunciation
Noun
fractal m (plural fractais)
- (mathematics) fractal (self-similar geometric figure)
Pronunciation
Noun
fractal m (plural fractales)
Adjective
fractal m or f (masculine and feminine plural fractales)
Further reading
- “fractal”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), 23rd edition, Royal Spanish Academy, 2014 October 16
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