Fractal Geometry

The world of fractal geometry is often considered abstract. Complex numbers and imaginary numbers, real numbers, logarithms, functions, tangible and other incredible numbers. But these abstract numbers, simply images, quantities, complex equations in our heads represent a new meaning of fractals, concrete fractals. Fractals change from a very simple equation on a piece of paper to a colorful and extraordinary image, and most importantly it provides an explanation of things.

The latest development of geometry is fractal geometry. Fractal geometry was developed and promoted by Benoit Mandelbrot in his book "Natural Fractal Geometry" published in 1982. Fractal is a self-similar form (invariant to changes in scale) and is a geometric shape with fractional dimensions. As with chaos theory, that is, research on nonlinear systems, fractals are very sensitive to initial conditions and small changes in the initial condition of the system can make the output of the system significantly different.

An interesting element of chaos theory is a complex image called fractal. There is a close relationship between chaos and fractal. For example, fractal geometry is the geometry that represents the chaos system we find in nature. Fractal is a way to describe language and shape. Fractal geometry is described in an algorithm which is a series of instructions on how to create a fractal. The computer converts the instructions into patterns we see and calls fractal images. These same chaotic features also apply to mathematics. In order to create an image called a fractal, several equations can be repeated multiple times. Suppose that the two equations contain only one X and Y variable and some constants. When the equation is repeated multiple times, the result is drawn on the computer screen. Immediately, a very complex image (called a fractal) is magnified and the pattern repeats. Fractal shows all chaotic features

Application of Fractal Geometry in Ecology Abstract New insight into nature is only a fraction of the results using fractal geometry. Examples of population and landscape ecology are used to explain the usefulness of fractal geometry in the field of ecology. The advent of the computer age played an important role in the development and acceptance of fractal geometry as an effective new field. New insights into ecology from fractal geometry applications to understanding of the importance of spatial and temporal scales, relationships between landscape structure and motion paths, improved understanding of landscape structure, and abil