Hexagonal regions are optimal for subdividing the plane in the sense that the regions are as close as possible to the disk shape while still providing a tessellation of the plane. It is however not possible to do recursive subdivisions, i.e. to divide a hexagon into smaller hexagons. In this paper, hexagon-like fractal regions will be presented. It is possible to decompose a hexagon-like fracta...

In this paper, microstrip coupled line band pass filters using Koch fractal curves are proposed for the first time. These filters are fabricated on Liquid Crystal Polymer (LCP) substrate for Ku Band. Conventional microstrip coupled line filters are very popular for RF front ends because these can be made easily. However, their large 2 harmonic causes the shape of the pass band to be asymmetric ...

In this paper, we aim to present a quantitative modeling for delineating the alteration zones and lithological units in the hypogene zone of Masjed-Daghi Cu-Au porphyry deposit (NW Iran) based on the drill core data. The main goal of this work is to apply Ordinary Kriging (OK) and concentration-volume (C-V) fractal model based on Cu grades in order to separate the different alteration zones and...

Background: Early simple, low-cost diagnosis of schizophrenia may accelerate the beginning of the treatment process. Here, utilizing the projective tools, including fractal images, are some of the diagnostic aids. Objectives: This study aimed to compare the preferences, descriptions, and response latency to fractal images between schizophrenic and healthy individuals. Materials & Methods: In ...

This paper introduced some new techniques to extract the palmprint features based on fractal codes and fractal dimension. Four new techniques based on fractal, namely FDFC (fractal dimension from fractal codes), FDIFC (fractal dimension image from fractal code), DIFC (distance image from fractal code), and AIFC (Angle image from fractal code) are proposed.. The main idea of these methods is the...

BACKGROUND AND AIMS Fractal analysis allows calculation of fractal dimension, fractal abundance and lacunarity. Fractal analysis of plant roots has revealed correlations of fractal dimension with age, topology or genotypic variation, while fractal abundance has been associated with root length. Lacunarity is associated with heterogeneity of distribution, and has yet to be utilized in analysis o...

The concept of derivative coordinate functions proved useful in the formulation of analytic fractal functions to represent smooth symmetric binary fractal trees [1]. In this paper we introduce a new geometry that defines the fractal space around these fractal trees. We present the canonical and degenerate form of this fractal space and extend the fractal geometrical space to R explicitly and R ...