We consider the problem of finding, for a given 2D pattern of coloured tiles, a minimal set of tile types self-assembling to this pattern in the abstract Tile Assembly Model of Winfree (1998). This Patterned self-Assembly Tile set Synthesis (PATS) problem was first introduced by Ma and Lombardi (2008), and subsequently studied by Göös and Orponen (2011), who presented an exhaustive partition-se...

Sommerville [8] and Davies [2] classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile the sphere but have some tiles intersecting in partial edges. This paper shows that no right triangles in a certain subfamily can tile the sphere, although multilayered tilings are possible.

It is shown that the (infinite) tiling problem byWang tiles is undecidable even if the given tile set is deterministic by all four corners, i.e. a tile is uniquely determined by the colors of any two adjacent edges. The reduction is done from the Turing machine halting problem and uses the aperiodic tile set of Kari and Papasoglu. © 2008 Elsevier B.V. All rights reserved.

Herein we demonstrate that flexible DNA architectures with larger cavities can be efficiently constructed by first assembling a relatively more rigid DNA tile architecture and subsequently subtracting a center tile through fuel strand displacement; such structures are otherwise difficult to obtain if the center tile is missing in the beginning, proving a new strategy for DNA self-assembly.

With their application as seed coatings, the use of neonicotinoid insecticides increased dramatically during the last decade. They are now frequently detected in aquatic ecosystems at concentrations susceptible to harm aquatic invertebrates at individual and population levels. This study intent was to document surface runoff and subsurface tile drain losses of two common neonicotinoids (thiamet...

Tile logic is a framework to reason about the dynamic evolution of concurrent systems in a modular way, and it extends rewriting logic (in the unconditional case) by rewriting synchronization and side eeects. The subject of this dissertation concerns some interesting tile models of computation such that the mathematical structures representing conngurations (i.e., system states) and eeects (i.e...

BACKGROUND Pelvic fractures are severe injuries with frequently associated multi-system trauma and a high mortality rate. The value of the pelvic fracture pattern for predicting transfusion requirements and mortality is not entirely clear. To address hemorrhage from pelvic injuries, the early application of pelvic binders is now recommended and arterial angio-embolization is widely used for con...

background and aims: the aluminum-containing compounds are used as glaze in tile and ceramic production plants. it means that the workers working in these plants are in direct exposure to aluminum-containing compounds. the aim of this study was to assess the potential damages caused by aluminum among tile plant workers. methods: in this cross-sectional study, 60 workers whom were in direct expo...

This report was written by Dr. Donald Fraser of the Department of Paediatrics, Universit!/ of Toronto and The Hospital for Sick Children, Toronto, Ontario, Canada, in consultation with tile Conirnittee Ofl Nutrition of the American Academy of Pediatrics. The /)OSltiOhb taken on the issue examined reflects the current opinion of tile Committee and i)rovi(les tile .ccie iti/ic background for the ...