Wang tiles are unit-size squares with coloured edges. In this paper, we approach one aspect of the study of tiling computability: the quest for a universal tile set. Using a complex construction, based on Robinson's classical construction and its different modifications, we build a tile set (pronounced ayin) that almost always simulates any tile set. By way of Banach–Mazur games on tilings topological spaces, we prove that the set of -tilings that do not satisfy the universality condition is meagre in the set of -tilings.

While nanowires and nanotubes have been shown to be electrically sensitive to various chemicals, not enough is known about the underlying mechanisms to control or tailor this sensitivity. By limiting the chemically sensitive region of a nanostructure to a single binding site, single molecule precision can be obtained to study the chemoresistive response. We have developed techniques using single-walled- carbon-nanotube (SWCNT) circuits that enable single-site experimentation and illuminate the dynamics of chemical interactions. Discrete changes in the circuit conductance reveal chemical processes happening in real-time and allow SWCNT sidewalls to be deterministically broken, reformed, and conjugated to target species.

While nanowires and nanotubes have been shown to be electrically sensitive to various chemicals, not enough is known about the underlying mechanisms to control or tailor this sensitivity. By limiting the chemically sensitive region of a nanostructure to a single binding site, single molecule precision can be obtained in order to study the chemoresistive response. We have developed techniques using single-walled-carbon-nanotube (SWCNT) circuits that enable single-site experimentation and illuminate the dynamics of chemical interactions. Discrete changes in the circuit conductance reveal chemical processes happening in real-time and allow SWCNT sidewalls to be deterministically broken, reformed, and conjugated to target species.

We have reported variants of the M13 bacteriophage major coat protein (P8) that enable high copy display of monomeric and oligomeric proteins, such as human growth hormone and steptavidin, on the surface of phage particles (Sidhu SS, Weiss GA, Wells JA. 2000. High copy display of large proteins on phage for functional selections. J Mol Biol 296:487–495). Here, we explore how an optimized P8 variant (opti-P8) could evolve the ability to efficiently display a protein fused to its N-terminus. Reversion of individual opti-P8 residues back to the wild-type P8 residue identifies a limited set of hydrophobic residues responsible for the high copy protein display. These hydrophobic amino acids bracket a conserved hydrophobic face on the P8 alpha helix thought to be in contact with the phage coat. Mutations additively combine to promote high copy protein display, which was further enhanced by optimization of the linker between the phage coat and the fusion protein. These data are consistent with a model in which protein display-enhancing mutations allow for better packing of the fusion protein into the phage coat. The high tolerance for phage coat protein mutations observed here suggests that filamentous phage coat proteins could readily evolve new capabilities.

A block copolymer consisting of liquid crystalline polyester segments and methylated polyamide segments has been synthesized. Solution polycondensation of acid chloride end-capped poly(terephthaloyl phenylhydroquinone) (LCP portion) with an amine terminated poly(N,N'-dimethylethylene sebacamide) was utilized to prepare the block copolymer. Characterization by differential scanning calorimetry, infrared spectroscopy, thermogravimetric analysis, optical microscopy and elemental analysis has been performed to verify the existence of the block copolymer that may have potential as a molecular composite material or self-reinforcing thermoplastic.