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Introduction to fractal geometry: Definition concept and applications

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  • What is the application of fractal geometry?

    In physics, fractals are used to model irregular structures and turbulence.
    Fractal geometry is also applied in computer graphics and image compression, as well as in the study of chaos theory and dynamical systems.
    Additionally, it has found applications in areas such as biology, medicine, finance, and art.

  • What are the concepts of fractals?

    Fractals are entities that are "self-similar" — they look the same under different levels of magnification; the parts that make it up look the same as the larger shape.

  • What does fractal mean in geometry?

    A Fractal is a type of mathematical shape that are infinitely complex.
    In essence, a Fractal is a pattern that repeats forever, and every part of the Fractal, regardless of how zoomed in, or zoomed out you are, it looks very similar to the whole image.
    Fractals surround us in so many different aspects of life.

  • 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.
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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Introduction to fractal geometry: Definition concept and applications