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Singular Minimal Surfaces which are Minimal
Universal Journal of Mathematics and Applications, 2021 In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a plane, a trivial outcome.
Ayla Erdur Kara +2 more
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Quantum minimal surfaces from quantum error correction [PDF]
SciPost Physics, 2022 We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies.
Chris Akers, Geoff Penington
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Family of Enneper Minimal Surfaces [PDF]
Mathematics, 2018 We consider a family of higher degree Enneper minimal surface E m for positive integers m in the three-dimensional Euclidean space E 3 . We compute algebraic equation, degree and integral free representation of Enneper minimal surface for
Erhan Güler
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Improved Mechanical Properties and Energy Absorption of BCC Lattice Structures with Triply Periodic Minimal Surfaces Fabricated by SLM. [PDF]
Materials (Basel), 2018 The triply periodic minimal surface (TPMS) method is a novel approach for lattice design in a range of fields, such as impact protection and structural lightweighting.
Zhao M +5 more
europepmc +2 more sources
Virtual and Physical Prototyping, 2020 Polymeric cellular structures based on triply periodic minimal surfaces (TPMS) have been widely studied for applications in multiple disciplines due to their multifunctionality.
Jia An, Wenjing Yang, Kun Zhou
exaly +2 more sources
Minimal nets and minimal minimal surfaces [PDF]
Acta Crystallographica Section A: Foundations and Advances, 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 ...
Olaf Delgado-Friedrichs +2 more
exaly +3 more sources
Triply periodic minimal surfaces for thermo-mechanical protection [PDF]
Scientific ReportsTriply periodic minimal surface (TPMS) metamaterials show promise for thermal management systems but are challenging to integrate into existing packaging with strict mechanical requirements. Composite TPMS lattices may offer more control over thermal and
Samantha Cheung +5 more
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Crystal-Inspired Cellular Metamaterials and Triply Periodic Minimal Surfaces [PDF]
BiomimeticsTriply periodic minimal surfaces (TPMSs) are found in many natural objects including butterfly wings, sea urchins, and biological membranes. They simultaneously have zero mean curvature at every point and a crystallographic group symmetry. A metamaterial
Maxim Arsentev +8 more
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Dynamic Geometry on Time Scales, 2021 [en] In the present work we define the concept of Minimal Surface and prove some important results related to it. To begin with, we review some elementary definitions and results of differential geometry. Then, we study normal variations of curves and surfaces and solve some optimisation problems as examples of this techniques.
S. Georgiev
semanticscholar +4 more sources
Energies, 2022 Triply periodic minimal surfaces (TPMS) have shown better mechanical performance, mass transfer, and thermal conductivity than conventional and strut-based structures, which have been employed in different disciplines. Most of the literature investigates
K. Yeranee, Y. Rao
semanticscholar +1 more source