Calculating Boundaries in Methods of Determination of Fractal Dimension

The fractal shapes in the nature, their characteristics, also, opinions about fractal dimension are given in this article. The phenomena of geophysical origin of fractal geometric shapes and potential useful tools for describing complex shapes are illustrated. Despite, the fractals are widely used in geographical areas; the opinions which cause inconsistent results from different fractal computational algorithms have been expressed.Fractal dimension was firstly introduced as the coefficient which describes geometrically complex shapes, the details are considered more important than a completely drawen picture. The theoretical fractal dimension for sets which describes simple geometric shapes is equal to the usual Euclidean or topological dimension. The theoretical fractal dimension for sets which describe points, is equal to 0, the fractal dimension for sets which describe straight line with only length, is equal to 1, the fractal dimension for sets which describe surface, is equal to 2, and the fractal dimension for sets which describe volume, is equal to 3.