In this paper we present a construction of Kari-Culik aperiodic tile set — the smallest known until now. With the help of this construction, we prove that this tileset has positive entropy. We also explain why this result was not expected.

We give the inflation rules for the decorated Mosseri–Sadoc tiles in the projection class of tilings T . Dehn invariants related to the stone inflation of the Mosseri–Sadoc tiles provide eigenvectors of the inflation matrix with eigenvalues equal to τ = 1+ √ 5 2 and (−τ).

Recent results on tile selnileptonic clecay of B-n]esons are reported fronl tile .4RGUS experinleut, operating at tile DORIS 11 e+estorage riug at DESY, T~vo new nleasurelnents of tile inclusive sexnilept.onic I)ranclling ratio are presented ;vllicll are iu agreenlent Ivitll previous results ancl renlain sonle~vllat lolver than theoretical preclictions. One analysis, in particldar. strives to r...

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...

P, adioactive S-alkyl glycerol ethers have been synlhesized with 3SS, 14C and 3tt labels as well as 311/35S double labels. Tile synthesized compounds were converted to various derivatives which can serve to characterize tile S-alkyl glycerol ethers. These included tile isopropylidene derivative, oxidation with periodate to the aldehyde followed by reduction with LiAIH4 to tile alcohol, and reac...

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...

The development of the GIS Decision Support System (DSS) – Drainage Runoff Input of Pesticides in Surface Water based on model algorithms describing the major pathways of pesticide entry into surface waters has been initiated by the German Federal Environmental Agency (Umweltbundesamt, UBA) in 2000. The tool estimates the quantity of pesticide input from non-point sources via surface runoff, ti...

The knowledge of selenium (Se) partitioning in treatment wetlands and wetland vegetation management are essential for long-term effective operation of constructed wetlands treating Se-laden agricultural tile-drainage in central California. In this field study, samples from different compartments of treatment wetlands were collected and the vegetation change in each wetland cell was examined fou...

Abstract Phosphorus (P) losses from non-point sources into receiving water bodies play a significant role in eutrophication. Given their failure to adequately control eutrophication the Lake Erie, conservation recommendations for agricultural watersheds should be reconsidered, particularly under climate change. Using Environmental Policy Integrated Climate model, potential impacts on crop yield...