Mixtures and grain boundaries of P, D, and G triply periodic minimal surfaces

Fuente: arXiv
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Auteurs principaux: Chuang, Chern, Jin, Bih-Yaw
Format: Preprint
Publié: 2024
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author Chuang, Chern
Jin, Bih-Yaw
author_facet Chuang, Chern
Jin, Bih-Yaw
contents We introduce a square tiling/tetragonal strip representation to the P, D, and G triply periodic minimal surfaces. This approach is useful in identifying mixtures and grain boundaries of these surfaces that might be useful for material sciences or advanced manufacturing purposes. Generalizations to more complicated strip topology (multi-strand) as well as other regular and semi-regular tilings are discussed. Examples of these include double diamond, double gyroid, and triangular P/D/G surfaces.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11995
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mixtures and grain boundaries of P, D, and G triply periodic minimal surfaces
Chuang, Chern
Jin, Bih-Yaw
Materials Science
We introduce a square tiling/tetragonal strip representation to the P, D, and G triply periodic minimal surfaces. This approach is useful in identifying mixtures and grain boundaries of these surfaces that might be useful for material sciences or advanced manufacturing purposes. Generalizations to more complicated strip topology (multi-strand) as well as other regular and semi-regular tilings are discussed. Examples of these include double diamond, double gyroid, and triangular P/D/G surfaces.
title Mixtures and grain boundaries of P, D, and G triply periodic minimal surfaces
topic Materials Science
url https://arxiv.org/abs/2411.11995