H Chen - Indiana University Mathematics Journal, 2021 - JSTOR
We provide an existence proof for two 1-parameter families of embedded triply periodic minimal surfaces of genus three, namely, the tG family with tetragonal symmetry that …
Martensitic transformations, viewed as continuous transformations between triply periodic minimal surfaces (TPMS), as originally proposed by Hyde and Andersson [Z. Kristallogr …
N Ejiri, T Shoda - Differential Geometry and its Applications, 2024 - Elsevier
Triply periodic minimal surfaces have been studied in many fields of natural science, and in particular, many one-parameter families of triply periodic minimal surfaces of genus three …
H Chen, M Traizet - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We construct one-parameter families of nonperiodic embedded minimal surfaces of infinite genus in T*R, where T denotes a flat 2-tori. Each of our families converges to a foliation of …
H Chen, M Traizet - Journal für die reine und angewandte …, 2024 - degruyter.com
We construct minimal surfaces by gluing singly periodic Karcher–Scherk saddle towers along their wings. Such constructions were previously implemented assuming a horizontal …
Triply periodic minimal surfaces are surfaces in R 3 which locally minimize area with three linearly independent vectors by which translations induce isometries of the surface …
This thesis addresses the entropically driven colloidal self-assembly of pear-shaped particle ensembles, including the formation of nanostructures based on triply periodic minimal …