fractals

listen to the pronunciation of fractals
English - Turkish
Fraktaller

Related Terms

fractal
(Geometri) Öklid geometrisine alternatif bir geometri modeli. Bu modelle öklid geometrisinin tanımlayamadığı bazı sistemler tanımlanabilmektedir
fractal
fraktal
fractal
benzer daha küçük elemanların oluşturduğu şekil
English - English
A shape that can be repeatedly subdivided into parts, each of which is a smaller copy of the whole e g from the macrocosm of our Universe to the microcosm of the frond of the leaf of a Fern
A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole Fractals are generally self-similar and independent of scale
plural of fractal
Self-similar objects that look the same no matter how closely you look at them Some examples are trees, lungs, and clouds
A geometric shape that is self-similar and has fractal dimensions

Related Terms

fractal
A geometric figure which has a Hausdorff dimension which is greater than its topological dimension
fractal
A geometric figure that appears irregular at all scales of length, e.g. a fern
fractal
Object which is self-similar at all scales Regardless of scale the same level of detail and appearance is present
fractal
A term coined by Benoit Mandelbrot to refer to items with fractional dimensions as opposed to the integer dimensions such as 1, 2 and 3 associated with length, area and volume Often used to refer to a structure bearing statistically similar details over a wide range of scales
fractal
(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
fractal
A geometric entity characterized by self-similarity (see figure 2): the whole entity is similar to a smaller portion of itself, but has a higher level of recursion (see recursion) Therefore, it can usually be represented by a recursive definition When using a fractal to represent a physical object, some degree of randomness is usually added to make the image more realistic
fractal
A System having similar detail at all scales, leading to intricate patterns and unexpected features A system with a non-integer dimension
fractal
Having the form of a fractal
fractal
Mathematician Benoit Mandelbrot's term for shapes that are "self-similar," appearing the same at different magnifications A fractal can be created by duplicating a shape successively according to a set of rules The results can be complex structures, which resemble seemly random-shaped things in nature, such as clouds, trees, and mountains An application of fractals is to represent complex imagery in very concise algorithms See WhamVET
fractal
A fractal is a shape where self-similarity dimension is greater than topological dimension
fractal
An object having a fractional dimension: one which has variation that is self-similar at all scales, in which the final level of detail is never reached and never can be reached by increasing the scale at which observations are made
fractal
In geometry, a fractal is a shape made up of parts that are the same shape as itself and are of smaller and smaller sizes. a pattern, usually produced by a computer, that is made by repeating the same shape many times in smaller and smaller sizes (fractus; FRACTION)
fractal
Computer-generated images corresponding to mathematical equations, that repeat self-similar patterns at infinitely receding levels of organization
fractal
A kind of image that is defined recursively, so that each part of the image is a smaller version of the whole
fractal
A mathematically generated pattern that is reproducible at any magnification or reduction
fractal
The smallest part of a mathematical set of numbers which when repeated or scaled will maintain the primary permutation A branch of mathematics called Fractal Geometry utilizes fractals to make complex shapes with very true to life features One is led to believe that life and living systems make use of fractal holographic concepts as living systems experience growth upwards based upon previous "mathematical instructions" scaled in size
fractal
(adj ) The term, short for fractional dimensional, used to describe graphics with randomly generated curves and surfaces that exhibit a degree of self-similarity Fractal design tools provide new opportunities for designers to produce complex patterns with more visual realism than can be output from conventional geometry programs
fractal
{i} groups that have broken dimensions so that each one looks like an exact copy of the second (like the Mandelbrot group in Mathematics); (In Computers) geometric shapes that have interesting contour lines
fractal
A fractal has statistical self-similarity at all resolutions and is generated by an infinitely recursive process In reality, those fractals generated by finite processes may exhibit no visible change in detail after some stage so are adequate approximations So, for computer graphics we can extend the definition to include anything that has a substantial measure of exact or statistical self-similarity This is illustrated by three stages of the construction of the von Koch snowflake below where each straight edge is repeatedly replaced by a copy of the entire figure Fractals are useful for generating natural appearing shapes or textures, such as land and cloudscapes
fractal
Term coined by Benoit Mandelbrot in 1975, referring to objects built using recursion, where some aspect of the limiting object is infinite and another is finite, and where at any iteration, some piece of the object is a scaled down version of the previous iteration (cf Properties of Fractals Discussion, also Plane Figure Fractals Discussion)
fractal
An object having a fractional dimension; one which has variation that is self-similar at all scales, in which the final level of detail is never reached and never can be reached by increasing the scale at which observations are made
fractal
(noun and adjective) A geometric form, such as a snowflake, that repeats itself at different levels of size Kandariya Mahadeva T , Ambika Mata T (Jagat), Dharmaraja Ratha (Mamallapuram)
fractal
A geometric figure that repeats itself under several levels of magnification, a shape that appears irregular at all scales of length, e.g. a fern
fractal
A geometric figure, built up from a simple shape, by generating the same or similar changes on successively smaller scales; it shows self-similarity on all scales
fractal
A mathematically generated pattern that is endlessly complex Fractal patterns often resemble natural phenomena in the way they repeat elements with slight variations each time
fractals

    Pronunciation

    Etymology

    [ 'frak-t&l ] (noun.) 1975. French fractale, from Latin fractus broken, uneven + French -ale -al.
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