A fractal is a mathematical shape that is infinitely complex and self-similar. Fractal are made by repeating a simple process over and over in a feedback loop. The word "fractal" comes from the Latin word fractus, which means broken or uneven.
Properties of fractals
- Fractals have pieces of all different sizes, with many tiny pieces.
- Fractals are created by repeating a simple process over and over in an ongoing feedback loop.
Applications of fractals
- Fractals are used to model the irregularities of nature, such as mountains, clouds, and trees.
- Fractals are used in computers, 3D modeling, and other areas of technology.
- Fractals are used in art, sound, and human psychology.
Examples of fractals
- The Mandelbrot set is an example of a fractal.
- The Sierpinski triangle is another example of a fractal.
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set.
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