A tile is a bounded subset of the plane, copies of which may be used to cover the whole plane without gaps or overlap. There are many sources (such as [1]) of beautiful images involving tiling, from medieval Islamic art, through Escher, to more modern work. Perhaps the simplest example of a tile, though, is a solid square, which may tile the plane in a familiar checkerboard pattern. The square ...

DESCRIPTION OF WELLCOME TILE* The tile is an elongated octagon in shape. It has a blue tinted glaze, and bright blue decoration with the motto in maroon. The sides of the tile are chamfered, and the glaze on the back is in irregular patches. The design of the Society of Apothecaries' Arms-with ribbon-like scrollwork to the sides of Apollo, who has an unusual 'Red Indian' headdress-is quite dist...

Self-assembly is fundamental to both biological processes and nanoscience. Key features of self-assembly are its probabilistic nature and local programmability. These features can be leveraged to design better self-assembled systems. The conventional Tile Assembly Model (TAM) developed by Winfree using Wang tiles is a powerful, Turing-universal theoretical framework which models varied self-ass...

Self-assembly is a fundamental process by which supramolecular species form spontaneously from their components. This process is ubiquitous throughout the life chemistry and is central to biological information processing. Algorithms for solving many mathematical and computational problems via tile self assembly has been proposed by many researchers in the last decade. In particular tile set fo...

The author gives a brief historical tour of theoretical tile selfassembly via chronological sequence of reports on selected topics in the field. The goal is to provide context and motivation for the these results and the field more broadly. Introduction. This tour covers only a subset of the research topics in theoretical tile self-assembly, listed chronologically according to the most intense ...

The work presented in this paper shows the way to generate colored paper mosaics using computer graphics techniques. Following two tasks need to be done to generate colored paper mosaic. The first one is to generate colored paper tile and the other one is to arrange the tile. Voronoi Diagram and Random Point Displacement have been used in this paper to come up with the shape of the tile. And, e...

In this paper we study the power of a model of tile self-assembly in which individual tiles of the system have the ability to turn on or off glue types based on the bonding of other glues on the given tile. This work is motivated by the desire for a system that can effect recursive self assembly, and is guided by the consideration of a DNA origami implementation of four-sided tiles which have a...