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Fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918. Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth.

What is fractal geometry and its properties?

A fractal is “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,” a property called self-similarity.

What are some examples of fractals in real life?

Some of the most common examples of Fractals in nature would include branches of trees, animal circulatory systems, snowflakes, lightning and electricity, plants and leaves, geographic terrain and river systems, clouds, crystals.

Is Pineapple an example of fractal?

They are called fractals. Think of a snow flake, peacock feathers and even a pineapple as examples of a fractal.

Is a good example of a fractal-like object?

Some examples are clouds, waves, ferns and cauliflowers. We call these objects fractal-like. No object in nature has infinite detail, so at some small scale even the self-similiar objects cease to be self-similar. We recognize a cauliflower even though no two are exactly alike.

What is the history of fractals?

The term “fractal” was first used by mathematician Benoit Mandelbrot in 1975. Mandelbrot based it on the Latin frāctus, meaning “broken” or “fractured”, and used it to extend the concept of theoretical fractional dimensions to geometric patterns in nature.

What was the first fractal discovered?

The history of fractals dates back to 1975, when Fractals were discovered by Benoît Mandelbrot. Well, maybe not discovered, but finally put into words. He explained them as being geometric shapes that when divided into parts, each part would be a smaller replica of the whole shape.

What if the universe is a fractal?

If the fractal pattern continues no matter how far you zoom out, this would have profound implications for scientists’ understanding of the universe. But now, a new astronomy survey refutes the notion. The universe is fractal-like out to many distance scales, but at a certain point, the mathematical form breaks down.

How are fractals experienced in life?

USE OF FRACTALS IN OUR LIFE Fractal mathematics has many practical uses, too — for example, in producing stunning and realistic computer graphics, in computer file compression systems, in the architecture of the networks that make up the internet and even in diagnosing some diseases.