The hexagonal lattice was proposed as an alternative method for image sampling. The hexagonal sampling has certain advantages over the conventionally used square sampling. Hence, the hexagonal lattice has been used in many areas. A hexagonal lattice allows √ 3, dyadic and √ 7 refinements, which makes it possible to use the multiresolution (multiscale) analysis method to process hexagonally samp...

We investigated magnetic vortices in two stoichiometric LiFeAs samples by means of scanning tunneling microscopy and spectroscopy. The were revealed measuring the local electronic density states (LDOS) at zero bias conductance fields between 0.5 12 T. From single vortex spectroscopy we extract Ginzburg-Landau coherence length both as $4.4\pm0.5$ nm $4.1\pm0.5$ nm, accordance with previous findi...

The problem of enumerating spanning trees in lattices with Klein bottle boundary condition is considered here. The exact closed-form expressions of the numbers of spanning trees for 4.8.8 lattice, hexagonal lattice, and 3(3) · 4(2) lattice on the Klein bottle are presented.

Hubbard-type models on the hexagonal lattice are of great interest, as they provide realistic descriptions graphene and other related materials. Hybrid Monte Carlo simulations offer a first-principles approach to study their phase structure. Here, we review present status our work in this direction.

The influence of organic additives, β-cyclodextrin, HEDTA, L-aspartic acid and L-glutamic acid on crystal growth of calcium carbonate via vapour diffusion method has been investigated. In the absence of additive, regular rhombohedral calcium carbonate crystal habit resulted. Whereas in presence of additive, calcite with truncated, aggregated rhombohedral sub crystals and elongated hexagonal mor...