Abstract. For each k ≥ 1 and corresponding hexagonal number h(k) = 3k(k + 1)+ 1, we introduce m(k) = max{(k − 1)!/2, 1} packings of h(k) equal disks inside a circle which we call the curved hexagonal packings. The curved hexagonal packing of 7 disks (k = 1, m(1) = 1) is well known and one of the 19 disks (k = 2, m(2) = 1) has been previously conjectured to be optimal. New curved hexagonal packi...

In this paper, Hexagonal Split Ring Resonator (HSRR) and Square Split Ring Resonator (SSRR) are designed using HFSS simulation software. Both split ring resonators are based on the Metamaterial and same parameters. Then after compare the simulation result of HSRR and SSRR. HFSS simulation of the Hexagonal SRR shows improved Return Loss and VSWR i.e. -44.7 dB and 1 respectively compare to Square...

High-resolution and analytical electron microscopy techniques are used to characterize Ge-implanted hexagonal SiC. After annealing the implanted samples at 1200 degrees C, Ge is found to be located preferentially on interstitial sites. After annealing at 1600 degrees C, small nanocrystals of strained cubic and hexagonal (or faulted cubic) Ge and Ge Si form. Occasionally, hexagonal (or faulted c...

H = S v i S v i + 1 ) y y corresponds to what is called the XY chain. The hexagonal compound PrCl3 provides a good approximation to the 1-D XY chain. The structure of PrCl3 is illustrated in Figure 1. Nearest neighbor Pr ions form chains along the hexagonal axis. Each Pr ion has nine close Cl neighbors which form three equilateral triangles; one triangle lies in the plane perpendicular to the h...

It is shown that the interface in a two-component Bose-Einstein condensate (BEC) with a dipole-dipole interaction spontaneously develops patterns similar to those formed in a ferrofluid. Hexagonal, labyrinthine, solitonlike structures, and hysteretic behavior are numerically demonstrated. Superflow is found to circulate around the hexagonal pattern at rest, offering evidence of supersolidity. T...

The Wiener number of a molecular graph, or more generally of a connected graph, is equal to the sum of distances between all pairs of its vertices. A graph formed by a hexagon in the centre, surrounded by n rings of hexagonal cells, is called an n-hexagonal net. It is shown that the Wiener number of an n-hexagonal net equals i( 164n5 30n3 + n).