We explain a correspondence between some invariants in the dynamics of color exchange coloring problem 2d regular hexagonal lattice, which are polynomials winding numbers, and linking numbers 3d. One invariant is visualized as lines on special surface with Arf-Kervaire one, interpreted resulting from an obstruction to transform into its chiral image continuous deformations. also consider additi...

Hierarchical grids appear in various applications in computer graphics such as subdivision and multiresolution surfaces, and terrain models. Since the different grid types perform better at different tasks, it is desired to switch between regular grids to take advantages of these grids. Based on a 2D domain obtained from the connectivity information of a mesh, we can define simple conversions t...

‎in this paper some properties of weak regular injectivity for $s$-posets‎, ‎where $s$ is a pomonoid‎, ‎are studied‎. ‎the behaviour‎ ‎of different kinds of weak regular injectivity with products‎, ‎coproducts and direct sums is considered‎. ‎also‎, ‎some‎ ‎characterizations of pomonoids over which all $s$-posets are of‎ ‎some kind of weakly regular injective are obtained‎. ‎further‎, ‎we‎ ‎giv...

The ultrastructure of the lumenal plasma membrane of the cow urianry bladder has been studied in thin sections of glutaraldehyde- and glutaraldehyde-H2O2-fixed specimens, by negative staining and freeze fracture. A regular hexagonal array of particles confined to polygonal plaques 0-1-0-4-mum in diameter and separated by 0-02-mum interplaque areas is revealed by all 3 techniques. Cross-sections...

La economía de cera y la resistencia del panal, así como otras hipótesis plausibles (eliminación espacios vacíos entre células cilíndricas emulación aproximada cuerpo abeja) conducen al primer problema óptimo: todos los polígonos con n ≥ 3 lados circunscritos a un círculo radio dado, determinar el P ∗ que tiene perímetro más pequeño. Este es extremos una condición isogonal se resuelve por métod...

piezoelectric nanobeams having circular, rectangular and hexagonal cross-sections are synthesized and used in various nano structures; however, piezoelectric nanobeams with hexagonal cross-sections have not been studied in detail. in particular, the physical mechanisms of the surface effect and the role of surface stress, surface elasticity and surface piezoelectricity have not been discussed t...

In this paper we introduce hexagonal Wang tiles, local hexagonal picture languages, and recognizable hexagonal picture languages. We use hexagonal Wang tiles to introduce hexagonal Wang systems(HWS), a formalism to recognize hexagonal picture languages. It is noticed that the family of hexagonal picture languages defined by hexagonal Wang systems coincides with the family of hexagonal picture l...

• The in-plane mechanical properties of 7 semi-regular lattices were derived analytically. We found a stretching-dominated topology with an elastic buckling strength 43% higher than regular triangular lattice. One bending-dominated tessellation is 85% stiffer and 11% stronger hexagonal seven analytically for uniaxial compression shear. These analytical expressions then validated using Finite El...

A two-bit arithmetic logic unit (ALU) was successfully fabricated on a GaAs-based regular nanowire network with hexagonal topology. This fundamental building block of central processing units can be implemented on a regular nanowire network structure with simple circuit architecture based on graphical representation of logic functions using a binary decision diagram and topology control of the ...