For that reason, even though this is an amusing puzzle, it is not very intriguing mathematically. This is, in any case, an example of a tiling problem. A tiling problem asks us to cover a given region using a given set of tiles, completely and without any overlap. Such a covering is called a tiling. Of course, we will focus our attention on specific regions and tiles which give rise to interest...

Quasi-static and dynamic damage mechanisms in alumina tiles were investigated. The tiles were under a variety of boundary conditions at the tile's edges during impact NATO 0.3 cal. AP rounds with hardened and sharpened steel core were used. The alumina tile samples were 50x50 mm2 area, the thicknesses ranging from 5 to 12 mm. 'he tiles were mounted in a special confinement frame, which enabled ...

There is a high demand for mosaicking of digital images. The digital images are of different formats, different resolutions, band combinations, sizes, etc. This increases the complexity of the mosaicking of images. We propose a dynamic, real-time approach for mosaicking digital images of different temporal and spatial characteristics into tiles. Also, the source images at the time of mosaicking...

Quasi-static and dynamic damage mechanisms in alumina tiles were investigated. The tiles were under a variety of boundary conditions at the tile's edges during impact NATO 0.3 cal. AP rounds with hardened and sharpened steel core were used. The alumina tile samples were 50x50 mm2 area, the thicknesses ranging from 5 to 12 mm. 'he tiles were mounted in a special confinement frame, which enabled ...

In this paper we study a class of plane self-affine lattice tiles that are defined using polyominoes. In particular, we characterize which of these tiles are homeomorphic to a closed disk. It turns out that their topological structure depends very sensitively on their defining parameters. In order to achieve our results we use an algorithm of Scheicher and the second author which allows to dete...

In this paper we address the problem of detecting different type of defects on random textured tiles. We adopt Gabor wavelet for analysis of random textured surfaces. Unlike the existing methods which arrange the Gabor filter Bank in such a way that the half-magnitude contour of neighboring filters in frequency domain touch each other, we allows the bandwidth of filters to vary. This flexibilit...

We propose a design for programmed molecular interactions that continuously change molecular arrangements in a predesigned manner. We introduce a model where environmental control through laser illumination allows platform attachment/detachment oscillations between two floating molecular species. The platform is a two-dimensional DNA origami array of tiles decorated with strands that provide bo...

Phase correlation is applied to the mosaicing of confocal scanning laser microscopy data. A large specimen (i.e., a murine heart) is cut into a number of individual sections with appropriate thickness. The sections are scanned horizontally and vertically to produce tiles of a 3D volume. Image processing based on phase correlation is used to rebuild the 3D volume and stitch the tiles together. S...

We discuss the design and implementation of CAD tools for creating decorative solids that tile 3-space in a regular, isohedral manner. Starting with the simplest case of extruded 2D tilings, we describe geometric algorithms used for maintaining boundary representations of 3D tiles, including a Java implementation of an interactive constrained Delaunay triangulation library and a mesh-cutting al...

Linear algebra codes contain data locality which can be exploited by tiling multiple loop nests. Several approaches to tiling have been suggested for avoiding connict misses in low associativity caches. We propose a new technique based on intra-variable padding and compare its performance with existing techniques. Results show padding improves performance of matrix multiply by over 100% in some...