It is possible to position equal-tempered discrete notes on a flat hexagonal grid in such a way as to allow musical constructs (chords, intervals, melodies, etc.) to take on the same shape regardless of the tonic. This is known as a musical isomorphism, and it has been shown to have advantages in composition, performance, and learning. Considering the utility and interest of such layouts, an ex...

The connectivity of the hydrophobic medium in the nonionic binary system C12EO6/H2O is studied by monitoring the diffusion constants of tracer molecules at the transition between the hexagonal mesophase and the fluid isotropic phase. The increase in the transverse diffusion coefficient on approaching the isotropic phase reveals the proliferation of bridge-like defects connecting the surfactant ...

We report on a conceptually new type of waveguide in glass by femtosecond laser direct writing, namely, photonic lattice-like (PLLW). The PLLW’s core consists well-distributed and densified tracks with sub-micron size 0.62 µm width. Specifically, PLLW inscribed as hexagonal-shape input ring-shape output side was implemented to converse Gaussian mode doughnut-like mode, high conversion efficienc...

Growth of CdS was studied in three different liquid crystalline phases demonstrating the versatility of liquid crystal templating of inorganic solids. Semiconductor growth in a hexagonal liquid crystal yielded a nanostructure with hexagonal symmetry, a lamellar liquid crystal yielded a lamellar nanostructure, and a cubic liquid crystal (consisting of spherical micelles) yielded a hollow, spheri...

We report a highly ordered intercalated hexagonal binary superlattice of hydrophilically functionalized single-walled carbon nanotubes (p-SWNTs) and surfactant (C12 E5 ) cylindrical micelles. When p-SWNTs (with a diameter slightly larger than that of the C12 E5 cylinders) were added to the hexagonally packed C12 E5 cylindrical-micellar system, p-SWNTs positioned themselves in such a way that th...