A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that is similar at every scale. Fractals are found in the natural world, in plants, animals, and even in the human body. They can also be found in the man-made world, in architecture, art, and music. Fractals are not limited to two dimensions; they can exist in three or more dimensions as well.
The word "fractal" comes from the Latin fractus, meaning "broken" or "fragmented." A fractal is a fragmented or broken piece of a whole. The term was first used by mathematician Benoit Mandelbrot in 1975. Mandelbrot based the term on the Latin word fractus because he wanted to emphasize the fact that fractals are not limited to geometric shapes; they can be found in any kind of pattern.
Mandelbrot's definition of 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 he called "self-similarity." Self-similarity means that a fractal has the same basic shape, no matter how much it is magnified. This is what gives fractals their "fractured" appearance.
Fractals are usually created by starting with a basic shape and then repeating a simple process over and over again. This What is an example of a fractal? A fractal is a mathematical object that is typically irregular and infinitely complex. Fractals are often used to model natural phenomena, such as snowflakes, coastlines, and mountain ranges.
Are humans fractals?
No, humans are not fractals. A fractal is a mathematical object that exhibits a repeating pattern at every scale. While humans may have some features that repeat at different scales (e.g. the fingers on a hand), they are not self-similar at all scales, as fractals are. What is the most famous fractal? The most famous fractal is the Mandelbrot set. What is another word for fractal? There is no one word that accurately describes a fractal. A fractal is an object that has a repeating pattern that is self-similar at different scales.
Is the universe a fractal? The universe is not a fractal, but it has been found that certain structures within it (such as galaxy clusters) obey a fractal distribution. This means that they look the same at all scales, from the very largest down to the very smallest. However, the universe as a whole is not a fractal.