In this paper we have defined two functions that have been used to construct different fractals having fractal dimensions between 1 and 2. More precisely, we can say that one of our defined functions produce the fractals whose fractal dimension lies in [1.58, 2) and rest function produce the fractals whose fractal dimension lies in (1, 1.58]. Also we tried to calculate the amount of increment o...

A study of the use of fractals in top non-leptonic decays for the sake of discrimination against background is presented. Preliminary results show that fractals may provide a useful check for top event enrichment techniques.

By prescribing their code run behavior, we consider some subsets of Moran fractals. Fractal dimensions of these subsets are exactly obtained. Meanwhile, an interesting decomposition of Moran fractals is given.

Barcellos, A. and Barnsley, Michael F. , Reviews: Fractals Everywhere. Amer. Math. Monthly , No. 3, pp. 266-268, 1990. Barnsley, Michael F. , Fractals Everywhere. Academic Press, INC, New York, 1993. Edgar, Gerald A. , Classics on Fractals. Westview Press, 2004. Falconer, K. , Techniques in fractal geometry. John Wiley & Sons, England, 1997. Julia, G. , Sur 1' iteration des functions ratio...

Iterated function systems have been powerful tools to generate fractals. However, the requirement of using the same maps at every iteration results in a fractal that may be too self-similar for certain applications. We present a construction in which the maps are allowed to be updated at each iteration in order to generate more general fractals without changing the computational complexity. We ...

In this paper, we consider the planar Sierpinski measures μM,D generated by an expanding integer matrix M ∈ M2(Z) and the digit set D = {( 0 0 )

We describe new families of random fractals, referred to as " V-variable " , which are intermediate between the notions of deterministic and of standard random fractals. The parameter V describes the degree of " variability " : at each magnification level any V-variable fractals has at most V key " forms " or " shapes ". V-variable random fractals have the surprising property that they can be c...

Fractals provide an innovative method for generating 3D images of real-world objects by using computational modelling algorithms based on the imperatives of self-similarity, scale invariance, and dimensionality. Images such as coastlines, terrains, cloud mountains, and most interestingly, random shapes composed of curves, sets of curves, etc. present a multivaried spectrum of fractals usage in ...