fractal graphics - translation to Αγγλικά
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fractal graphics - translation to Αγγλικά

FRACTAL IN THE FORM OF A MATHEMATICAL CURVE
Fractal Curves; Fractal curves; Fractal Curve; Fractal function; Fractal Function; Fractal Functions; Fractal functions; Fractal image; Fractal Image
  • Construction of the [[Gosper curve]]

fractal graphics      

общая лексика

фрактальная графика

Смотрите также

bitmapped graphics; fractal; vector graphics

fractal         
  • 3D computer generated fractal
  • 200x200px
  • Cantor (ternary) set.
  • 202x202px
  • A fractal “tree” to eleven iterations
  • 200x200px
  • 200x200px
  • 201x201px
  • 200x200px
  • similar]] to a proper part of itself, but hardly a fractal.
  • Mandelbrot set with 12 encirclements.
  • 200x200px
  • [[Sierpinski carpet]] (to level 6), a fractal with a [[topological dimension]] of 1 and a [[Hausdorff dimension]] of 1.893
  • 200x200px
  • 200x200px
  • 208x208px
MATHEMATICAL SET OF NON-INTEGRAL DIMENSION
Fractals; Fractal geometry; Fractal set; Fractal domain; Fractogeometry; Fractal mathematics; Factral; Fractal theory; Fractal math; Fractal tree; Fractles; Fractels; Fractal sets; Fractal Trees; Applications of fractals; Fractal island; History of fractals; Simulated fractals
fractal noun math. фракталь, дробная размерность
fractal         
  • 3D computer generated fractal
  • 200x200px
  • Cantor (ternary) set.
  • 202x202px
  • A fractal “tree” to eleven iterations
  • 200x200px
  • 200x200px
  • 201x201px
  • 200x200px
  • similar]] to a proper part of itself, but hardly a fractal.
  • Mandelbrot set with 12 encirclements.
  • 200x200px
  • [[Sierpinski carpet]] (to level 6), a fractal with a [[topological dimension]] of 1 and a [[Hausdorff dimension]] of 1.893
  • 200x200px
  • 200x200px
  • 208x208px
MATHEMATICAL SET OF NON-INTEGRAL DIMENSION
Fractals; Fractal geometry; Fractal set; Fractal domain; Fractogeometry; Fractal mathematics; Factral; Fractal theory; Fractal math; Fractal tree; Fractles; Fractels; Fractal sets; Fractal Trees; Applications of fractals; Fractal island; History of fractals; Simulated fractals

['fræktl]

общая лексика

фрактал

геометрическая форма, которая может быть разбита на отдельные части, которые приближённо представляют собой уменьшенную копию целого. Термин (от латинского fractus - дробный, изломанный) предложил в 1975 г. американский математик Бенуа Мандельброт (Benoit Mandelbrot). Он же дал им определение и объединил в класс структур с общими свойствами: самоподобием и структурной неограниченностью. Фракталы описывают такие объекты реального мира, как горы, очертания берегов, облака и т.д.

рекурсивный

фрактонный

математика

множество дробной размерности

существительное

математика

фракталь

дробная размерность

фракталь, дробная размерность

Ορισμός

fractal
<mathematics, graphics> A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a smaller copy of the whole. Fractals are generally self-similar (bits look like the whole) and independent of scale (they look similar, no matter how close you zoom in). Many mathematical structures are fractals; e.g. {Sierpinski triangle}, Koch snowflake, Peano curve, Mandelbrot set and Lorenz attractor. Fractals also describe many real-world objects that do not have simple geometric shapes, such as clouds, mountains, turbulence, and coastlines. Benoit Mandelbrot, the discoverer of the Mandelbrot set, coined the term "fractal" in 1975 from the Latin fractus or "to break". He defines a fractal as a set for which the Hausdorff Besicovich dimension strictly exceeds the topological dimension. However, he is not satisfied with this definition as it excludes sets one would consider fractals. {sci.fractals FAQ (ftp://src.doc.ic.ac.uk/usenet/usenet-by-group/sci.fractals/)}. See also fractal compression, fractal dimension, {Iterated Function System}. Usenet newsgroups: news:sci.fractals, news:alt.binaries.pictures.fractals, news:comp.graphics. ["The Fractal Geometry of Nature", Benoit Mandelbrot]. [Are there non-self-similar fractals?] (1997-07-02)

Βικιπαίδεια

Fractal curve

A fractal curve is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified, that is, its graph takes the form of a fractal. In general, fractal curves are nowhere rectifiable curves — that is, they do not have finite length — and every subarc longer than a single point has infinite length.

A famous example is the boundary of the Mandelbrot set.

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