Abstract
In this article, we will discuss some spectacularly beautiful images known as Fractals such as Sierpinski Triangle, Koch Curve, Dragon Curve, Koch Island, H Fractal, The Levy Curve Fractal, Box Fractal etc. We will investigate and calculate the area, perimeter and self-similar dimension of fractals. Observing the results we see some similarities about the said properties for some fractals those are generated by particular method. Our attention is restricted to find the mathematical behavior of Fractals so that we can establish mathematical formulas concerning the fractals.
Highlights
In this article we will describe some of the wonderful new ideas in the area of mathematics known as fractal geometry
Fractal geometry is a branch of mathematics concerned with irregular patterns made of parts that are in some way similar to the whole
Two events occurred in that period that brought fractal geometry into the mainstream of contemporary science and mathematics
Summary
In this article we will describe some of the wonderful new ideas in the area of mathematics known as fractal geometry. Today Fractal geometry is completely new area of research in the field of computer science and engineering. The images that we call fractals have been known in mathematics for well over a century Objects such as the Cantor set, the c triangle, and the Koch curve have appeared often in the mathematical literature over the past hundred years. These objects were once regarded as almost pathological shapes mainly of interest in mathematical research [13, 18]. They can often be modeled with fractals
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