Calculating Dimension of Complex Geometric Shape Using Fractal Measurement

Abstract

This article describes the concept of the fractal dimension measurement that is used to compute the dimension of the irregular shapes such as cantor dust, Koch snowflake and Menger sponge. An important charateristic of fractal geometries is self-similarity. The fractal scaling is specified by noninteger numbers, so called fractal dimension. There are several fractal measurement methods, but only box-counting method will be presented here.