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fractal$500081$ - ترجمة إلى الهولندية
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]]](https://commons.wikimedia.org/wiki/Special:FilePath/Gosper 6.gif?width=200 "Construction of the [[Gosper curve]]")
fractal
n. een methodiek, waarmee oneffenheden van in de natuur voorkomende materialen in een formule kunnen worden gebracht. Deze methodiek verschaft de chipontwerper een hulpmiddel om de eigenschappen van het chipoppervlak in wiskundige termen te omschrijven
Fibonacci numbers
![[[Yellow chamomile]] head showing the arrangement in 21 (blue) and 13 (cyan) spirals. Such arrangements involving consecutive Fibonacci numbers appear in a wide variety of plants.](https://commons.wikimedia.org/wiki/Special:FilePath/FibonacciChamomile.PNG?width=200 "[[Yellow chamomile]] head showing the arrangement in 21 (blue) and 13 (cyan) spirals. Such arrangements involving consecutive Fibonacci numbers appear in a wide variety of plants.")
![The Fibonacci spiral: an approximation of the [[golden spiral]] created by drawing [[circular arc]]s connecting the opposite corners of squares in the Fibonacci tiling; (see preceding image)](https://commons.wikimedia.org/wiki/Special:FilePath/Fibonacci Spiral.svg?width=200 "The Fibonacci spiral: an approximation of the [[golden spiral]] created by drawing [[circular arc]]s connecting the opposite corners of squares in the Fibonacci tiling; (see preceding image)")
![Balance factor]]s green; heights red.<br />The keys in the left spine are Fibonacci numbers.](https://commons.wikimedia.org/wiki/Special:FilePath/Fibonacci Tree 6.svg?width=200 "Balance factor]]s green; heights red.<br />The keys in the left spine are Fibonacci numbers.")
![Biblioteca Nazionale di Firenze]] showing (in box on right) 13 entries of the Fibonacci sequence:<br /> the indices from present to XII (months) as Latin ordinals and Roman numerals and the numbers (of rabbit pairs) as Hindu-Arabic numerals starting with 1, 2, 3, 5 and ending with 377.](https://commons.wikimedia.org/wiki/Special:FilePath/Liber abbaci magliab f124r.jpg?width=200 "Biblioteca Nazionale di Firenze]] showing (in box on right) 13 entries of the Fibonacci sequence:<br /> the indices from present to XII (months) as Latin ordinals and Roman numerals and the numbers (of rabbit pairs) as Hindu-Arabic numerals starting with 1, 2, 3, 5 and ending with 377.")
![The Fibonacci numbers are the sums of the "shallow" diagonals (shown in red) of [[Pascal's triangle]].](https://commons.wikimedia.org/wiki/Special:FilePath/PascalTriangleFibanacci.svg?width=200 "The Fibonacci numbers are the sums of the \"shallow\" diagonals (shown in red) of [[Pascal's triangle]].")
ENTIRE INFINITE INTEGER SERIES WHERE THE NEXT NUMBER IS THE SUM OF THE TWO PRECEDING IT (0,1,1,2,3,5,8,13,21,...)
Fibonacci number; Fibonacci series; Fibonacci Series; Gopala (mathematician); Gopala–Hemachandra number; Binet's formula; Fibonnaci numbers; Tetranacci constant; Tetranacci Constant; Fibbonaci Series; Binet's Equation; Fibonacci Sequence; Binet's fibonacci number formula; Binet's Fibonacci number formula; Binet's Fibonacci Number Formula; Hemachandra number; Gopala-Hemachandra numbers; Hemachandra numbers; Fibinochi numbers; Fibonacci Number Sequence; Fibonacci chain; Fibonacci numbers; Fibonacci Number; Fibonacci Numbers; Binet formula; Fibonacci squence; 1123581321; Fibonocci sequence; Fibonocci number; Fibonnaci Sequence; Fibonacci fractal; Fibonnacci sequence; Fibonacci ratio; Fibonacci rabbit; Fibonacci Rabbits; Fibonacci tree; Fibonacci's Number; Fibonaccis Number; Fibonacci Tree; Gopala-Hemachandra sequence; Gopala-Hemachandra number; A000045
Fibonacci nummers (in wiskunde), serie v. oneindige getallen, waarbij elk onderdeel een totaal van de hem twee voorafgaande nummers is en de eerste onderdelen 0 en 1 (naar naam van wiskundige Ficonacci)
تعريف
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)
ويكيبيديا
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.
