Results 81 to 90 of about 33,813 (262)
Self-Affine Tilings with Several Tiles, I
A collection \(T_i \subseteq {\mathbb R}^d\), \(i=1, \ldots, M\), together with an expanding \(d\times d\) matrix \(A\), and a collection of sets \(\Gamma_{ij} \subseteq {\mathbb Z}^d\), \(i,j=1, \ldots, M\), is called \textit{self-affine} if \[ AT_i = \bigcup_{j=1}^M (\Gamma_{ij}+T_j), \;\;(i=1, \ldots, M) \] (the sets in the union above are assumed ...
Gröchenig, Karlheinz +2 more
openaire +3 more sources
Rhombic Tilings and Primordia Fronts of Phyllotaxis [PDF]
We introduce and study properties of phyllotactic and rhombic tilings on the cylin- der. These are discrete sets of points that generalize cylindrical lattices.
Atela, Pau, Gole, Christophe
core +2 more sources
The Ammann-Beenker tilings revisited
This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space.
A Katz +6 more
core +3 more sources
Bioinspired Stabilization of Fluorescent Au@SiO2 Tracers for Multimodal Biological Imaging
This study demonstrates a bioinspired stabilization strategy for fluorescent gold‐silica nanoparticles. Inspired by natural biosilica maturation, high‐temperature calcination transforms the silica shells, preventing dissolution in cell culture media and intracellular environments.
Wang Sik Lee +5 more
wiley +1 more source
Gale-Robinson Sequences and Brane Tilings [PDF]
We study variants of Gale-Robinson sequences, as motivated by cluster algebras with principal coefficients. For such cases, we give combinatorial interpretations of cluster variables using brane tilings, as from the physics literature.
In-Jee Jeong +2 more
doaj +1 more source
Tilings of the Sphere by Edge Congruent Pentagons [PDF]
We study edge-to-edge tilings of the sphere by edge congruent pentagons, under the assumption that there are tiles with all vertices having degree 3. We develop the technique of neighborhood tilings and apply the technique to completely classify edge ...
Cheuk, Ka Yue, Cheung, Ho Man, Yan, Min
core
Energy level statistics of electrons in a 2D quasicrystal
A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different degrees of phason disorder considered.
A. Jagannathan +13 more
core +1 more source
An Engineered Living Material With Pro‐Angiogenic Activity Inducible by Near‐Infrared Light
NIR‐responsive engineered living materials (ELMs) for controlled angiogenesis: Near‐infrared (800 nm) light activates engineered probiotic bacteria within alginate‐based living materials to secrete a blood vessel‐regenerating protein. The released protein promotes pro‐angiogenic effects in endothelial networks and chick chorioallantoic membranes.
Anwesha Chatterjee +4 more
wiley +1 more source
Auxeticity‑by‑Assembly converts freeform photovoltaics from cut‑defined layouts to assembly‑defined systems. Standardized interlocking units generate negative‑Poisson‑ratio, reconfigurable architectures, while hinge regions are wired by selectively activatable AgNW–GO@EGaIn composite interconnects and a folding‑enabled interconnector layer. A decimeter‑
Seok Joon Hwang +15 more
wiley +1 more source
THE CHARACTER OF PLANAR TESSELLATIONS WHICH ARE NOT SIDE-TO-SIDE
This paper studies stationary tessellations and tilings of the plane in which all cells are convex polygons. The focus is on the class of tessellations which are not side-to-side.
Richard Cowan, Christoph Thäle
doaj +1 more source

