Results 101 to 110 of about 76,092 (311)

A resolution for the product of a compactum with a polyhedron

Topology and its Applications, 2003
In shape theory one associates with compact Hausdorff space X limits p:X->_X_ of inverse systems of compact polyhedra (or ANRs). However, in the noncompact case, polyhedral limits have to be replaced by polyhedral resolutions. In the present paper, with the limit p:X->_X_ of an arbitrary inverse system of compact Hausdorf spaces and with an arbitrary ...
openaire   +4 more sources

Topology in Biological Piezoelectric Materials

Advanced Materials, EarlyView.
This review summarizes the topological structures in biological piezoelectric materials, covering morphology evolution, spatial arrangement, and biomimetic strategies. These topologies modulate structure‐property relationships across multiple scales, enabling performance enhancement and multifunctional integration.
Chen Chen, Yanhu Zhang, Yi Zheng, Yi Zhang, Hongyi Liu, Jiang Wu, Liang Yang, Zhengbao Yang   +7 more
wiley   +1 more source

Dehn invariant of flexible polyhedra

, 2017
We prove that the Dehn invariant of any flexible polyhedron in Euclidean space of dimension greater than or equal to 3 is constant during the flexion. In dimensions 3 and 4 this implies that any flexible polyhedron remains scissors congruent to itself ...
Gaifullin, Alexander A., Ignashchenko, Leonid   +1 more
core  

Bounds on the Complexity of Halfspace Intersections when the Bounded Faces have Small Dimension

, 2011
We study the combinatorial complexity of D-dimensional polyhedra defined as the intersection of n halfspaces, with the property that the highest dimension of any bounded face is much smaller than D.
A Charnes, AK Dewdney, AWM Dress, B Chazelle, C Roos, CB Barber, D Avis, D Avis, D Eppstein, DA Spielman, David Eppstein, DR Chand, G Liotta, G Swart, H Hirai, HW Hamacher, J Matoušek, JR Isbell, KQ Brown, LG Khachiyan, M Chrobak, M Develin, M Queyranne, Maarten Löffler, N Karmarkar, N Megiddo, P McMullen, R Seidel, V Klee   +28 more
core   +1 more source

Harnessing Photo‐Energy Conversion in Nanomaterials for Precision Theranostics

Advanced Materials, EarlyView.
Harnessing photo‐energy conversion in nanomaterials enables precision theranostics through light‐driven mechanisms such as photoluminescence, photothermal, photoelectric, photoacoustic, photo‐triggered surface‐enhanced Raman scattering (SERS), and photodynamic processes. This review explores six fundamental principles of photo‐energy conversion, recent
Jingyu Shi, Yadi Fan, Qin Zhang, Yingying Huang, Mo Yang   +4 more
wiley   +1 more source

Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights

Advanced Materials, EarlyView.
This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He, Neubi Francisco Xavier Jr, Matthias Johannes Golomb, Yupei Han, Yuheng Du, Qiong Cai, Yang Xu   +6 more
wiley   +1 more source

Calibration of DEM Polyhedron Model for Wheat Seed Based on Angle of Repose Test and Semi-Resolved CFD-DEM Coupling Simulation

Agriculture
The shape of particles is a critical determinant that significantly influences the accuracy of discrete element simulations. To reduce the discrepancies between the discrete element model of wheat seeds and the actual particle shapes, and to enhance the ...
Longbao Wang, Hanyu Yang, Zhinan Wang, Qingjie Wang, Caiyun Lu, Chao Wang, Jin He   +6 more
doaj   +1 more source

An approach for line clipping against a convex polyhedron

Ruhuna Journal of Science, 2016
Line clipping operation is a bottleneck in most of computer graphics applications. There are situations when millions of line segments need to be clipped against convex polyhedrons with millions of facets.
K. R. Wijeweera, S. R. Kodituwakku
doaj   +1 more source

Learning Polyhedrons Based On It

Mathematics Education Journal, 2018
Learning resources and media play very important roles in learningactivities in the classroom. Various learning resources complemented withinteractional media will encourage the learners to be more active in theclassroom. The objective of this present research is to analyze whatlearning resources and media are used by the teacher in learningpolyhedrons.
openaire   +3 more sources

Designing the Self‐Assembly of Disordered Materials Via Color Frustration

Advanced Materials, EarlyView.
What if disorder can be designed? This work introduces a strategy to self‐assemble amorphous materials by designing bonding rules for patchy particles that suppress crystallinity and promote frustration. The designer particles nucleate a network of dodecahedral cages from the liquid, yielding a novel equilibrium amorphous phase. This approach redefines
Andreas Neophytou, Francesco Sciortino, John Russo   +2 more
wiley   +1 more source