introduction: water and soil retention curve is one of the most important properties of porous media to obtain in a laboratory retention curve and time associated with errors. for this reason, researchers have proposed techniques that help them to more easily acquired characteristic curve. one of these methods is the use of fractal geometry. determining the relationship between particle size di...

A novel miniature antenna based on the fractal Hilbert geometry is presented. The antenna becomes electrically smaller as the fractal iteration increases at a higher rate than that of any other fractal geometry presented until now. Several fractal-shaped Hilbert monopoles have been constructed, measured, and compared with the classical /4 monopole. © 2003 Wiley Periodicals, Inc. Microwave Opt T...

The design and development of a proximity fed dualband microstrip patch antenna based on David fractal geometry are presented. David fractal microstrip antenna offers good performance in the 1.754 1.816 GHz and 3.37 3.415 GHz bands and is suitable for GSM 1800, WiMAX applications. The use of David fractal geometry offers miniaturization of the antenna structure. The proposed first iteration fra...

Many archaeological patterns are fractal. Fractal analysis, therefore, has much to contribute to archaeology. This article offers an introduction to fractal analysis for archaeologists. We explain what fractals are, describe the essential methods of fractal analysis, and present archaeological examples. Some examples have been published previously, while others are presented here for the first ...

The paper proposes a method for rapid prototyping (RP) fractal geometry represented objects. RP technology has made possible the physical fabrication of solid freeform objects. However, contemporary CAD/CAM/RP systems are developed for Euclidean geometry and are incapable of handling self-similar fractal objects (e.g. jewelry products). To address the problem, a Radial-Annular Tree (RAT) data s...

Antenna Miniaturization Using Fractals Richa Garg, AP ECE Deptt., [email protected], J.C.D.C.O.E., Sirsa ABSTRACTThe use of fractal geometry in designing antenna has been a resent topic of interest. Fractal shape has their own unique characteristics that the improved antenna performance can be achieved without degrading the antenna properties. Modern telecommunication system requires antenn...

54 Generally, a fractal most often referred to as “a rough shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole.” The father of fractal geometry Benoît Mandelbrot formulated this term in 1975. A fractal has a complicated shape. Certain features characterize a graphical representation of the fractal by mathematical equation: it is self...

Context. Cosmic voids are observed in the distribution of galaxies and, to some extent, in the dark matter distribution. If these distributions have fractal geometry, it must be reflected in the geometry of voids; in particular, we expect scaling sizes of voids. However, this scaling is not well demonstrated in galaxy surveys yet. Aims. Our objective is to understand the geometry of cosmic void...