FRACTAL GEOMETRY Meaning and
Definition
-
Fractal geometry is a branch of mathematics that deals with the study of shapes and patterns that exhibit self-similarity at different scales. The term "fractal" was coined by the mathematician Benoit Mandelbrot in 1975, derived from the Latin term "fractus," which means broken or fractured.
In simple terms, fractal geometry demonstrates the repetition of intricate patterns within a larger shape or structure. These patterns often reappear at different levels of magnification, meaning that the same shapes can be found regardless of the scale at which one looks.
Fractals are characterized by their complex and intricate structure, formed by the repetition of smaller versions of themselves. A classic example of a fractal is the Mandelbrot set, which is a set of complex numbers generated by a mathematical formula. When plotted on a coordinate plane, the pattern reveals intricate detail, with endless self-similar shapes that emerge as one zooms in.
Fractal geometry finds applications in various fields, including physics, computer graphics, biology, economics, and art. It provides a mathematical framework for understanding and modeling irregular and naturally occurring phenomena. Fractals are often used to describe natural objects such as clouds, coastlines, mountains, and trees, as they exhibit repeating patterns on different scales.
Overall, fractal geometry offers a unique perspective on the intricate structure of the natural world and provides a powerful tool for analyzing and understanding the complexity found therein.
Common Misspellings for FRACTAL GEOMETRY
- dractal geometry
- cractal geometry
- vractal geometry
- gractal geometry
- tractal geometry
- rractal geometry
- feactal geometry
- fdactal geometry
- ffactal geometry
- ftactal geometry
- f5actal geometry
- f4actal geometry
- frzctal geometry
- frsctal geometry
- frwctal geometry
- frqctal geometry
- fraxtal geometry
- fravtal geometry
- fraftal geometry
Etymology of FRACTAL GEOMETRY
The word fractal was coined by the mathematician Benoit Mandelbrot in 1975, derived from the Latin word fractus, which means broken or irregular. Mandelbrot chose this term to describe geometric shapes or mathematical sets that exhibit self-similarity at infinitely smaller scales. He introduced the concept of fractal geometry, which refers to the study of these complex and intricate shapes. The etymology of fractal geometry thus comes from the Latin fractus and the mathematical term geometry.
Infographic
Add the infographic to your website:
