Several attempted syntheses of Ti-TMS1, a hexagonal mesoporous TiO2 reported by Antonelli and Ying,1 have resulted in a lamellar structure as determined by twodimensional powder X-ray diffraction and transmission electron microscopy (TEM). Conventional one-dimensional powder X-ray diffraction patterns of the lamellar materials are similar to those reported for Ti-TMS1.1 Regions, of similar size...

This paper concerns the construction of highly symmetric compactly supported wavelets for hexagonal data/image and triangle surface multiresolution processing. Recently hexagonal image processing has attracted attention. Compared with the conventional square lattice, the hexagonal lattice has several advantages, including that it has higher symmetry. It is desirable that the filter banks for he...

The majority of machine vision systems derive their input data by digitising an image to produce a square grid of sampled points. However, other sampling techniques can represent equal picture information in a smaller number of samples, with a consequent reduction in data rate. Several workers have looked at regular hexagonal sampling of images which produces optimum data rates for a given info...

The topology of the space of rooted oriented hexagonal knots embedded in R 3 is described, with special attention given to the number of components that make up this space and to the topological knot types which they represent. Two cases are considered: (i) hexagons with varying edge length, and (ii) equilateral hexagons with unit-length edges. The structure of these spaces then gives new notio...

Three hexagonal patch antennas are designed for circular polarization and experimentally validated. These antennas are labeled; simple hexagonal patch, hexagonal patch with slotted ground and hexagonal patch with parasitic element. The measured impedance bandwidths of the three antennas are 2% for the simple patch, 5.2% for the patch with slotted ground and 6.35% for the antenna with parasitic ...