Results 141 to 150 of about 6,397 (300)
Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble
Forum of Mathematics, PiWe consider uniformly random lozenge tilings of simply connected polygons subject to a technical assumption on their limit shape. We show that the edge statistics around any point on the arctic boundary, that is not a cusp or tangency location, converge ...
Amol Aggarwal, Jiaoyang Huang
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In Search of Demiregular Tilings
, 2008 www.math.nus.edu.sg/aslaksen/ Many books on mathematics and art discuss a topic called demiregular tilings and claim that there are 14 such tilings. However, many of them give different lists of 14 tilings!
Helmer Aslaksen
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Advanced Science, EarlyView.Low‐dose electron holography is limited by shot noise, which buries weak phase signals. HoloDenoiser, a physics‐informed network that works simultaneously in the spatial and frequency domains, locates and protects the holographic sideband while suppressing noise in the hologram.
Ye Luo +10 more
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Triangle Tiling V: Tilings by a tile with integer sides
, 2012 An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The tile may or may not be similar to ABC. We wish to understand possible tilings by completely characterizing the triples (ABC, T, N) such that ABC can be N-tiled by T.
openaire +2 more sources
, 1991 Tiling problems arise in many areas of science, and they raise fascinating but difficult mathematical questions. Nonperiodic hierarchical tilings are particularly interesting and important. We discuss several examples of such tilings and indicate some of
Marjorie Senechal
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Programmable Sequential 4D Actuation in Multistable Kirigami Metamaterials
Advanced Science, EarlyView.This study presents a modular kirigami metamaterial framework enabling programmable multistability and sequential 4D actuation. By coupling geometry‐controlled multistability with material‐dependent recovery kinetics, spatiotemporal deformation can be precisely programmed.
Eui‐Hyun Kim +3 more
wiley +1 more source
, 2006 In this paper we will discuss how to create fractal tilings from a few simple matrices and formulas.
Katie Moe, Andrea Brown
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The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells
Advanced Science, EarlyView.Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Laura Morato +9 more
wiley +1 more source
Advanced Science, EarlyView.Lai et al. find that m6A reader YTHDC1 is specifically overexpressed in triple‐negative breast cancer (TNBC) and orchestrates glucose and glutamine metabolism in an m6A‐dependent manner to confer robust adaptability to lethal metabolic stress. Leveraging YTHDC1 knockdown‐induced metabolic vulnerability, an ATF4 mRNA‐targeted nanotherapy is developed to
Zheng‐Hao Lai +12 more
wiley +1 more source
, 2008 ISBN 978-5-94057-377-7International audienceIn this paper we emphasize the links between model theory and tilings. More precisely, after giving the definitions of what tilings are, we give a natural way to have an interpretation of the tiling rules in ...
Jeandel, Emmanuel +3 more
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