Results 11 to 20 of about 8,180 (214)
Stripped and layered fabrication of minimal surface tectonics using parametric algorithms
Curved and Layered Structures, 2023 This article describes a parametric design and fabrication workflow influenced by Frei Otto’s form-finding experiments on soap films. The research investigates minimal surface geometry by combining physical and digital experiments in a computational ...
Gokmen Sabri
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The Cohomological Genus and Symplectic Genus for 4-Manifolds of Rational or Ruled Types
Mathematics, 2021 An important problem in low dimensional topology is to understand the properties of embedded or immersed surfaces in 4-dimensional manifolds. In this article, we estimate the lower genus bound of closed, connected, smoothly embedded, oriented surfaces in
Bo Dai, Chung-I Ho
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Plateau problem and minimal surfaces: numerical methods and applications
Lietuvos Matematikos Rinkinys, 2023 This article presents an overview of the results of solving the minimal surface equation by numerical methods. Another research task is the application of minimal surfaces in science, technology, especially architecture.
Mifodijus Sapagovas
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Aeroelastic flutter of triply periodic minimal surface (TPMS) beams
Composites Part C: Open Access, 2023 This work unveils the linear aeroelastic flutter attributes of functionally graded triply periodic minimal surface (FG-TPMS) beams. The Euler-Bernoulli theory including neutral axis shift effect is used to model the FG-TPMS beams.
Mithilesh Kurup, Jeyeraj Pitchaimani
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On solving the plateau problem in parametric form
International Journal of Mathematics and Mathematical Sciences, 1983 This paper presents a numerical method for finding the solution of Plateau's problem in parametric form. Using the properties of minimal surfaces we succeded in transferring the problem of finding the minimal surface to a problem of minimizing a ...
Baruch cahlon +2 more
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On a method for investigating heat transfer processes in porous media with ordered macrostructures [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThis paper proposes a mathematical modeling method for the heat conduction process in a porous medium with an ordered macrostructure. Based on the combined use of the minimal representative volume method and computational homogenization, a dependence of ...
Eremin, Anton V. +3 more
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Evolution of holographic Fermi surface from non-minimal couplings
European Physical Journal C: Particles and Fields, 2022 We study a holographic toy model by considering a probe fermion of finite charge density in an anisotropic background. By computing the fermionic spectral function numerically, we observed that the system exhibits some interesting behaviours in the ...
Wadbor Wahlang
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The Journal of Geometric Analysis, 2012 We prove a general fusion theorem for complete orientable minimal surfaces in $\mathbb{R}^3$ with finite total curvature. As a consequence, complete orientable minimal surfaces of weak finite total curvature with exotic geometry are produced. More specifically, universal surfaces (i.e., surfaces from which all minimal surfaces can be recovered) and ...
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Minimal nets and minimal minimal surfaces [PDF]
Acta Crystallographica Section A Foundations of Crystallography, 2013 The 3-periodic nets of genus 3 (`minimal nets') are reviewed and their symmetries re-examined. Although they are all crystallographic, seven of the 15 only have maximum-symmetry embeddings if some links are allowed to have zero length. The connection between the minimal nets and the genus-3 zero-mean-curvature surfaces (`minimal minimal' surfaces) is ...
De Campo, Liliana +3 more
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A numerical approach for designing functionally stiff triply-periodic-minimal-surface structures [PDF]
MATEC Web of Conferences, 2022 Biomedical implants require stiffnesses matching those of the surrounding bone to avoid stress shielding. Triply-periodic-minimal-surface (TPMS) structures have shown promising characteristics in preventing stress shielding; however, they are limited in ...
Blackwell Matthew Austin +2 more
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