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...

Corrections Page 17, Table 6: The in situ U-value from Lauriston Place for single glazing with secondary glazing has actually been 1.6 W/m 2 K instead of 2.3 W/m 2 K. Clarifications The U-values in this report are measured at the centre of the glass pane, and are not whole-window U-values; except for the U-value measured by the National Physical Laboratory, refer to Appendix 1, which is a whole...

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...

Demand for energy-efficient school buildings, which form a major part of public is growing in Iran. Window insulation required to reduce the amount energy wasted through openings. This study investigates effect double-glazing with aerogel compared 3 mm glazing pane and window terms solar gain cooling load. The case studies are primary schools Yazd (hot-dry climate), Bushehr (hot-humid Zanjan (c...

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...