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student: Jovana Petrova

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CHANGE THE NUMBERS AND FORMULAS AND SEE YOUR OWN FRACTAL SHAPE

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CHANGE THE NUMBERS AND FORMULAS AND SEE YOUR OWN FRACTAL SHAPE

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http://www.kevs3d.co.uk/dev/lsystems/

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https://guciek.github.io/web_mandelbrot.html#-0.5;0;2;1000

All of the pictures from just a fractal

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Here's another one generetor

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Interactivate: Another Hilbert Curve Generator

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Shodor > Interactivate > Activities > Another Hilbert Curve Generator

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Watch a snowflake's shaping

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Shodor > Interactivate > Activities > Koch's Snowflake

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Online fraktal generator

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Shodor > Interactivate > Activities > Hilbert Curve Generator

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Tuğçe Aran-Sıla Gültekin-Yıldız Örs

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Ceren Akarsu/TOKI ŞEHIT ISMAIL TETIK ANATOLIAN HIGH SCHOOL

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Ceren Akarsu/TOKI ŞEHIT ISMAIL TETIK ANATOLIAN HIGH SCHOOL

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Ceren Akarsu/TOKI ŞEHIT ISMAIL TETIK ANATOLIAN HIGH SCHOOL😊😊

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Ceren Akarsu/TOKI ŞEHIT ISMAIL TETIK ANATOLIAN HIGH SCHOOL😊😊

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Incredible Examples Of Fractals Found In Nature (Photo Gallery)

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he nature is the best artist. These fractals are present in nature in different forms like landscapes, plants, animals etc. Here are some amazing photos. Discover some of the amazing examples of fractals in nature.

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A natural fractal

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A Ted Talk About Fractals

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Benoit Mandelbrot: Fractals and the art of roughness

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http://www.ted.com At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 -- the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.

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A fractal is a non-regular geometric shape that has the same degree of non-regularity on all scales. Fractals can be thought of as never-ending patterns.
Check out this video!

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Fractal Tree

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https://www.youtube.com/watch?v=BTiZD7p_oTc

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A superb video of the Mandelbrot fractal :)

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A superb video of the Mandelbrot fractal :)

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https://www.youtube.com/watch?v=foxD6ZQlnlU
Enjoy ^^

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A fractal is a never-ending pattern. 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. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

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In mathematics, a fractal is a subset of a Euclidean space for which the Hausdorff dimension strictly exceeds the topological dimension. Fractals are encountered ubiquitously in nature due to their tendency to appear nearly the same at different levels, as is illustrated here in the successively small magnifications of the Mandelbrot set.[1][2][3][4] Fractals exhibit similar patterns at increasingly small scales,[5] also known as expanding symmetry or unfolding symmetry; If this replication is exactly the same at every scale, as in the Menger sponge,[6] it is called affine self-similar.

One way that fractals are different from finite geometric figures is the way in which they scale. Doubling the edge lengths of a polygonmultiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the dimension of the space the polygon resides in). Likewise, if the radius of a sphere is doubled, its volume scales by eight, which is two (the ratio of the new to the old radius) to the power of three (the dimension that the sphere resides in). However, if a fractal's one-dimensional lengths are all doubled, the spatial content of the fractal scales by a power that is not necessarily an integer.[1] This power is called the fractal dimension of the fractal, and it usually exceeds the fractal's topological dimension.[7]

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Mandelbrot fractals (with complex numbers)

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Mandelbrot fractals (with complex numbers)

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ELİF SARITAŞ
BETÜL GÜRSOY
TUĞÇE ARAN
BERKE CAN BAŞARAN
EDA KARABULUT
DENİZ KIRIKÇI
SILA GÜLTEKİN
LUCIE D
MARICA RUSSO
AFRA ÜSTÜN
FAEL REBEI
OMAYMA RAJI
AYMERIC MAERTEN
SÜMEYYE GÜRDOĞAN
JOSEPH DEWYNTER
YILDIZ ORS