Minimal Twin Surfaces

DOI10.1080/10586458.2017.1413455zbMath1427.53003arXiv1610.07926OpenAlexW2583168783MaRDI QIDQ4972534

Hao Chen

Publication date: 25 November 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07926

zbMATH Keywords

surface evolvertriply periodic minimal surfacestwin lattice

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (2)

Stacking Disorder in Periodic Minimal Surfaces ⋮ A new deformation family of Schwarz’ D surface

Uses Software

• SageMath
• mpmath
• Surface Evolver

Cites Work

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• Non-periodic Riemann examples with handles
• On the genus of triply periodic minimal surfaces
• Deformations of the gyroid and lidinoid minimal surfaces
• Triply periodic minimal surfaces bounded by vertical symmetry planes
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Schwarz' \(P\) and \(D\) surfaces are stable
• The gyroid is embedded and has constant mean curvature companions
• The uniqueness of the helicoid
• Opening infinitely many nodes
• Parametrization of triply periodic minimal surfaces. III. General algorithm and specific examples for the irregular class
• Infinite periodic minimal surfaces and their crystallography in the hyperbolic plane
• The Surface Evolver
• Minimizing the Squared Mean Curvature Integral for Surfaces in Space Forms

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