T he interplay between local constraints and global structure of mathematical and physical systems is both subtle and important. The macroscopic physical properties of a system depend heavily on its global symmetries, but these are often difficult to predict given only information about local interactions between the components. A rich history of work on tilings of the Euclidean plane and highe...

Abstract We introduce a new approach by using hexagonal synthetic aperture in an optical system and obtaining high-resolution image. This paper illustrates two cases of with where the study was included, First, effect on diffraction-bound system, Second, focal error 25 ? 50 . The results showed significant improvement central intensity, clear decrease secondary peaks, width intensity curve, whi...

Image processing has traditionally involved the use of square operators on regular rectangular image lattices. For many years the concept of using hexagonal pixels for image capture has been investigated, and several advantages of such an approach have been highlighted. We present a design procedure for hexagonal gradient operators, developed within the finite element framework, for use on hexa...

We compare the resolution of the hologram reconstruction synthesis methods based on integral imaging using rectangular and hexagonal lens arrays. By using a hexagonal lens array instead of conventional rectangular lens array, the three-dimensional objects are sampled with hexagonal grids. Due to more efficient sampling of the hexagonal grid, the resolution of the reconstructed object is higher ...

Under ambient conditions, water freezes to either hexagonal ice or a hexagonal/cubic composite ice. The presence of hydrophobic guest molecules introduces a competing pathway: gas hydrate formation, with the guests in clathrate cages. Here, the pathways of the phase transitions are sought as sequences of states with coexisting phases, using a generalized replica exchange algorithm designed to s...

A mobile station (MS) undergoes handoff when it travels out of the coverage area of its current access point (AP) and tries to associate with another AP. In this paper we propose a method using GPS (Global Positioning System) to minimize the number of APs to be scanned by the MS during each handoff procedure. The entire geographical area is considered as a two dimensional plane divided into hex...

ZnO nanorod arrays and nanodisk networks were grown directly on Si substrate by thermal evaporation of ZnCl(2) powder and a mixture of ZnCl(2) and InCl(3)·4H(2)O at 450 °C in air, respectively. The ZnO nanorods with the diameters of 0.64 to 0.91 μm and length of about 5.1 μm are single crystalline with the hexagonal structure and grow along the [001] direction. The nanodisk has perfect hexagona...