Programmable matter is a material whose properties can be programmed to achieve specific shapes or stiffnesses upon command. This concept requires constituent elements to interact and rearrange intelligently in order to meet the goal. This paper considers achieving programmable sheets that can form themselves in different shapes autonomously by folding. Past approaches to creating transforming ...

Recently, research originating in several dierent applications has appeared on un-structured triangular meshes in which the vertex distribution is not locally uniform, i.e. anisotropic unstructured meshes. The techniques used have the common features that the distribution of triangle shapes for the mesh is controlled by specifying a symmetric tensor, and that the anisotropic mesh is the transfo...

This paper addresses on the team-oriented task description and its usage in the mobile robots formation. The team behaviour module is introduced for the team-level task description and the temporal chain of these modules is used to define the team trajectory. The team shape is expressed as a low-triangular matrix by the graph theory to express the lead-follow relation in the formation and the s...

Parametric surfaces in various representations, such as Bézier-and B-spline-tensorproduct patches, triangular patches etc., play an important role in CAGD-applications. Connecting patches with different degree of continuity and trimming surfaces are well-known techniques to construct a variety of shapes like ship hulls, car bodies, etc. For finite element analysis, stereolithography, rendering ...

We study parametrized dynamics of the Weierstrass elliptic ℘ function by looking at the underlying lattices; that is, we study parametrized families ℘Λ and let Λ vary. Each lattice shape is represented by a point τ in a fundamental period in modular space; for a fixed lattice shape Λ = [1, τ ] we study the parametrized space kΛ. We show that within each shape space there is a wide variety of dy...

The triangular distribution, although simpler than the beta distribution both for mathematical treatment and for natural interpretation, has not been widely used in the literature as a modelling tool. Applications of this distribution as an alternative to the beta distribution appear to be limited in financial contexts and specifically in the assessment of risk and uncertainty and in modelling ...

calling r ∈ Z+ the balancer corresponding to the balancing number n. The numbers 6, 35, and 204 are examples of balancing numbers with balancers 2, 14, and 84, respectively. Behera and Panda [1] also proved that a positive integer n is a balancing number if and only if n2 is a triangular number, that is, 8n2 + 1 is a perfect square. Though the definition of balancing numbers suggests that no ba...

The interaction of a high-intensity ultrashort laser pulse with few microns-thick hydrocarbon target is known to accelerate protons/ions multi-MeV, on the rear side target, via mechanism normal sheath acceleration. Micro-structuring front one promising approaches enhance cut-off energy as well reduce divergence accelerated protons/ions. In this paper, normally incident intense targets having si...

objective(s): the aim of this study was to synthesize triangular gold nanoparticles, and then to evaluate their capability for inhibition of candida albicans secreted aspartyl proteinase 2(sap2).materials and methods: to synthesize the nanoparticles, hydrogen tetrachloroaurate and hexadecyl trimethyl ammonium bromide were incubated in presence of sn(iv) meso-tetra(n-methyl-4-pyridyl) porphine t...