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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 ...
Liliana De Campo +2 more
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Experimental Mathematics, 2018 20 pp. 14 Figs. Introduction rewritten.
Hao Chen, Chen, Hao
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Porous polylactic acid scaffolds for bone regeneration: A study of additively manufactured triply periodic minimal surfaces and their osteogenic potential [PDF]
Journal of Tissue Engineering, 2020 Anna Diez-Escudero, Cecilia Persson
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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. However, a non-trivial outcome is obtained when we modify the usual condition of singular minimality by using a special semi-symmetric metric connection instead of the Levi ...
Muhittin Evren AYDIN +2 more
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Wetting and minimal surfaces [PDF]
Physical Review E, 2007 22 ...
Bachas, Constantin +2 more
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Minimal quadrangulations of surfaces
Journal of Combinatorial Theory, Series B, 2022 25 pages, 20 ...
Wenzhong Liu +2 more
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Noncommutative Minimal Surfaces [PDF]
Letters in Mathematical Physics, 2016 We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass-representation.
Arnlind, Joakim +2 more
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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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Commentarii Mathematici Helvetici, 1978 The interest in triply-periodic minimal surfaces in space seems to date from the work of H. A. Schwarz [11], beginning in 1865 with the construction of the first examples (see w All subsequent work known to us is restricted to these examples. We have found the work of Neovius [14] particularly beautiful and useful.
Smyth, Brian, Nagano, Tadashi
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Minimal surfaces with catenoid ends [PDF]
Pacific Journal of Mathematics, 1995 In this paper, we use the conjugate surface construction to prove the existence of certain non-periodic symmetric immersed minimal surfaces. These surfaces have finite total curvature and embedded catenoid ends, and they have positive genus yet maintain the symmetry of their genus-zero counterparts constructed by Jorge-Meeks and Xu.
Berglund, Jorgen, Rossman, Wayne
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