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...

It is shown that an equilateral convex pentagon tiles the plane if and only if it has two angles adding to 180 o or it is the unique equilateral convex pentagon with Although the area of mathematical tilings has been of interest for a long time there is still much to be discovered. We do not even know which convex polygons tile the plane. Furthermore, for those polygons which do tile, new tilin...

Abstract The Corona Virus Disease 2019 pandemic is an event of the spread corona virus around world. LIPI researchers stated that air temperature and humidity can affect virus. Coronavirus resistance decreases in hot temperatures high humidity. Based on problem retard virus, a study was carried out effect material thermal conditions buildings to reduce Thermal measurements are 2-story residenti...

Flake fractures of the talus are uncommon injuries, usually associated with marked inversion or eversion of’ the foot and ankle, coupled with tearing of the medial [internal laterals or the lateral [fibuiar collateral] ligament or of both ligaments. \Vatson-Jones (1943), relating ninety-seven cases of fracture and fracture-dislocation of the talus and navicular hone in the Royal Air Force in tw...

Tiling is widely used by compilers and programmer to optimize scientific and engineering code for better performance. Many parallel programming languages support tile/tiling directly through first-class language constructs or library routines. However, the current OpenMP programming language is tile oblivious, although it is the de facto standard for writing parallel programs on shared memory s...

We extend the study of Akiyama’s tile-makers: surfaces whose developments all tile the plane. First, we prove that the developments of Akiyama’s tile-makers are the prototiles that tile the plane isohedrally with rotation and without reflection. Second, we give a simple characterization of all closed (boundaryless) tile-makers and give three new tile-makers not known to Akiyama. Finally, we pro...