期刊
EXPERIMENTAL MATHEMATICS
卷 28, 期 4, 页码 404-419出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/10586458.2017.1413455
关键词
Triply periodic minimal surfaces; twin lattice; Surface Evolver
类别
资金
- National Science Foundation [DMS-1440140]
We report some minimal surfaces that can be seen as copies of a triply periodic minimal surface (TPMS) related by reflections in parallel mirrors. We call them minimal twin surfaces for the resemblance with twin crystal. Brakke's Surface Evolver is employed to construct twinnings of various classical TPMS, including Schwarz' Primitive (P) and Diamond (D) surfaces, their rhombohedral deformations (rPD), and Schoen's Gyroid (G) surface. Our numerical results provide strong evidences for the mathematical existence of D twins and G twins, which are recently observed in experiment by material scientists. For rPD twins, we develop a good understanding, by noticing examples previously constructed by [Traizet 08] and [Fujimori and Weber 09]. Our knowledge on G twins is, by contrast, very limited. Nevertheless, our experiments lead to new cubic polyhedral models for the D and G surfaces, inspired by which we speculate new TPMS deformations in the framework of Traizet.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据