Results 61 to 70 of about 69,132 (324)
Attaching handles to Delaunay nodo\"{\i}ds
, 2010 For all $m \in \mathbb N - \{0\}$, we prove the existence of a one dimensional family of genus $m$, constant mean curvature (equal to 1) surfaces which are complete, immersed in $\mathbb R^3$ and have two Delaunay ends asymptotic to nodo\"{\i}dal ends ...
Pacard, Frank, Rosenberg, Harold
core +2 more sources
Advanced Healthcare Materials, EarlyView.Granular hydrogels are emerging microporous platforms for cell culture and delivery, showing great potential for replicating the complex, heterogeneous environments found in natural tissues. This review outlines the design principles of granular hydrogels, highlighting critical factors that determine the final physicochemical properties of the entire ...
Shuhan Feng, Kaiyang Chen, Shiqi Wang
wiley +1 more source
On nonexistence of an integer regular polygon [PDF]
, 1998 In this paper we consider the question whether there is a regular polygon in the Cartesian coordinate system such that all of its coordinates are integers. We are not interested in the case of square since it is trivial.
D. Klobučar
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Advanced Materials, EarlyView.Nanoscale chitin fiber orientations in the insect wing play a critical role in adapting to complex mechanical demands. These findings reveal two distinct and functionally adaptive chitin orientation patterns in the membranes that vary regionally, optimizing mechanical resilience and deformation control.
Chuchu Li +5 more
wiley +1 more source
Journal of High Energy Physics, 2020 We investigate the lattice ℂP N−1 sigma model on S s 1 $$ {S}_s^1 $$ (large) × S τ 1 $$ {S}_{\tau}^1 $$ (small) with the ℤ N symmetric twisted boundary condition, where a sufficiently large ratio of the circumferences (L s ≫ L τ ) is taken to approximate
Toshiaki Fujimori +4 more
doaj +1 more source
Cutting sequences on translation surfaces [PDF]
, 2013 We analyze the cutting sequences associated to geodesic flow on a large class of translation surfaces, including Bouw-Moller surfaces. We give a combinatorial rule that relates a cutting sequence corresponding to a given trajectory, to the cutting ...
Davis, Diana
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Advanced Materials Interfaces, EarlyView.This study presents the first systematic evaluation of interactions between astrocytes and Ti3C2TX MXene flakes, a 2D nanomaterial with emerging neuroelectronic applications. Using a multimodal approach, including viability assays, morphometric analysis, and calcium imaging, this work demonstrates high biocompatibility and preserved function in ...
Dimitris Boufidis +7 more
wiley +1 more source
Examples, Counterexamples, and Enumeration Results for Foldings and Unfoldings between Polygons and Polytopes [PDF]
, 2000 We investigate how to make the surface of a convex polyhedron (a polytope) by folding up a polygon and gluing its perimeter shut, and the reverse process of cutting open a polytope and unfolding it to a polygon.
Demaine, Erik D. +3 more
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Elemente der Mathematik, 2005 are the sides of a regular (n, k)-gon (see Fig. 1). The regular (n, 1)-gon is an ordinary regular n-gon with directed sides. The regular (n, n − 1)-gon is the same ordinary regular n-gon, only the orientation of the sides are the opposite. For 2 ≤ k ≤ n − 2 a regular (n, k)-gon is a star polygon.
openaire +3 more sources
Ni‐Assisted Endotaxial Growth of Au Nanoparticles Within TiO2 Nanowires
Advanced Materials Interfaces, EarlyView.A new synthesis route for embedding Au nanoparticles within TiO2 single‐crystal nanowires during vapor‐phase growth at 1000 °C is reported. Beyond seed composition and oscillating morphology, crystallography and resulting Au‐TiO2 interfaces are identified as a key factor governing the embedding process. This can unlock new possibilities for engineering
Zhina Razaghi, Guo‐zhen Zhu
wiley +1 more source