Controlled hierarchical self-assembly of hyperbolic paraboloid molecules into two-dimensional superstructures with second-harmonic generation characteristic [PDF]
Nature CommunicationsHyperbolic paraboloid molecules, as systems with remarkable negative Gaussian curvature, have garnered considerable attention in chemistry and materials science due to their unique physicochemical properties.
Hongbin Huo +5 more
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Multi-Objective Optimizing Curvilinear Steel Bar Structures of Hyperbolic Paraboloid Canopy Roofs
Buildings, 2020 The paper concerns shaping curvilinear steel bar structures that are hyperbolic paraboloid canopy roofs by means of parametric design software Rhinoceros/Grasshopper and Karamba 3D.
Jolanta Dźwierzyńska +1 more
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Lightweight acoustic hyperbolic paraboloid diaphragms with graphene through self-assembly nanoarchitectonics [PDF]
Science and Technology of Advanced MaterialsThe paper presents a study on the fabrication of a lightweight acoustic hyperbolic paraboloid (HyPar) diaphragm using self-assembly nanoarchitectonics.
Mo Lin +9 more
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Spline on a generalized hyperbolic paraboloid
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fengfu Peng, Juanjuan Chen
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Parametric splines on a hyperbolic paraboloid
Journal of Computational and Applied Mathematics, 2009 The main object of the paper is to construct space arcs by extending planar affine transformation into space. Thus space splines on a hyperbolic paraboloid over a tetrahedron are constructed. Approximate \(G^2\) continuity is studied here for fitting to a sequence of points [cf. \textit{M. Paluszny} and \textit{R. R. Patterson}, Comput. Aided Geom. Des.
Xuli Han
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Programmable shape morphing of drying foods via symmetry breaking [PDF]
Current Research in Food ScienceWe investigate how differential drying can be programmed to induce shape morphing in edible materials. As a prototypical geometry we consider a planar disk composed of two materials with strongly contrasting elastic moduli, readily fabricated by a dual ...
R.G.M. van der Sman +2 more
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Behavior of Gabled Hyperbolic Paraboloid Shells
Journal of Asian Architecture and Building Engineering, 2015 Previous studies on gabled hyperbolic paraboloid shells (gabled hypar) revealed that shell loads are transferred to the supports mainly through diagonal arch action, and the contribution of edge be...
Eunjong Yu
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Curves on ruled surfaces under infinitesimal bending [PDF]
Bulletin of Natural Sciences Research, 2021 Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder, the hyperbolic paraboloid and the helicoid are considered and appropriate ...
Najdanović Marija +2 more
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The Development of Log Aesthetic Patch and Its Projection onto the Plane
Mathematics, 2022 In this work, we introduce a new type of surface called the Log Aesthetic Patch (LAP). This surface is an extension of the Coons surface patch, in which the four boundary curves are either planar or spatial Log Aesthetic Curves (LACs).
Yee Meng Teh +4 more
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Finite Element Analysis of Hyperbolic Paraboloid Groined Vault Structure [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2006 A new hyperbolic parabolic triangular finite element is developed in this paper. The element has only five essential nodal degrees of freedom (three general external degrees of freedom and two rotations) at each of the three corner nodes.
Attia Mousa
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