Concept

Hexagonal tiling

Related publications (52)

Ultrafast Structural Dynamics along the beta - gamma Phase Transition Path in MnAs

We investigate the orthorhombic distortion and the structural dynamics of epitaxial MnAs layers on GaAs(001) using static and time-resolved x-ray diffraction. Laser-induced intensity oscillations of Bragg reflections allow us to identify the optical phonon ...

AMER PHYSICAL SOC2019

Hexagons, Satellites and Semantic Background

Dario Rodighiero

The presentation is focused on a visual method that allows for a hexagonal arrangement in network visualization. Hexagonal tilling is a way to enrich the betweenness of nodes in order to enrich the information that a network visualization can convey. What ...

2018

The sphere packing problem in dimension 24

Maryna Viazovska, Abhinav Kumar

Building on Viazovska’s recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing. In particul ...

2017

Hexagonal Patterning of the Insect Compound Eye: Facet Area Variation, Defects, and Disorder

Sangwoo Kim

The regular hexagonal array morphology of facets (ommatidia) in the Drosophila compound eye is accomplished by regulation of cell differentiation and planar cell polarity during development. Mutations in certain genes disrupt regulation, causing a breakdow ...

2016

Symmetry breaking in hexagonal and cubic polymorphs of BaTiO3

Dragan Damjanovic, Alberto Biancoli

BaTiO3 appears in cubic and hexagonal variants, both of which are centrosymmetric. Samples of cubic BaTiO3 are known to exhibit breaking of the centric symmetry locally and globally. It has been proposed that the local symmetry breaking originates in polar ...

American Institute of Physics2016

Possibility of an unconventional spin state of Ir4+ in Ba21Ir9O43 single crystal

László Forró, Henrik Moodysson Rønnow, Arnaud Magrez, Oleg Yazyev, Ivica Zivkovic, Alla Arakcheeva, Bálint Náfrádi, Lin Yang, Andrea Pisoni, Sergiy Katrych, Jacim Jacimovic, Noore Elahi Shaik

We report the synthesis of single crystals of a novel layered iridate Ba21Ir9O43 and present the crystallographic, transport, and magnetic properties of this material. The compound has a hexagonal structure with two iridium oxide layers stacked along the c ...

Amer Physical Soc2016

Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns

Alexander Mathis

Lattices abound in nature—from the crystal structure of minerals to the honey-comb organization of ommatidia in the compound eye of insects. These arrangements provide solutions for optimal packings, efficient resource distribution, and cryptographic proto ...

2015

Sc2Ga2CuO7: A possible quantum spin liquid near the percolation threshold

Henrik Moodysson Rønnow, Paul Gregory Freeman

Sc2Ga2CuO7 (SGCO) crystallizes in a hexagonal structure (space group: P63/mmc), which can be seen as an alternating stacking of single and double triangular layers. Combining neutron, x-ray, and resonant x-ray diffraction, we establish that the single tria ...

2015

Polarization properties and disorder effects in H-3 photonic crystal cavities incorporating site-controlled, high-symmetry quantum dot arrays

Elyahou Kapon, Alok Rudra, Benjamin Dwir, Pascal Gallo, Alessandro Surrente, Marco Felici

We report on the effects of optical disorder on breaking the symmetry of the cavity modes of H-3 photonic crystal cavities incorporating site-controlled pyramidal quantum dots (QDs) as the internal light source. The high in-plane symmetry of the polarizati ...

Amer Inst Physics2015

Hexagonal OsB2: Sintering, microstructure and mechanical properties

Martin Guillermo Mueller, Nina Orlovskaya

The metastable high pressure ReB2-type hexagonal OsB2 bulk ceramics was produced by spark plasma sintering. The phase composition, microstructure, and mechanical behavior of the sintered OsB2 were studied by X-ray diffraction, optical microscopy, TEM, SEM, ...

Elsevier2015

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