Constructing 3D self-supporting surfaces with isotropic stress using 4D minimal hypersurfaces of revolution

• Main Authors: Ma, Long, He, Ying, Sun, Qian, Zhou, Yuanfeng, Zhang, Caiming, Wang, Wenping
• Other Authors: School of Computer Science and Engineering
• Format: Article
• Language: English
• Published: 2021
• Subjects: Engineering::Computer science and engineering; Computing Methodologies; Computer Graphics
• Online Access: https://hdl.handle.net/10356/151961
• Institution: Nanyang Technological University

This article presents a new computational framework for constructing 3D self-supporting surfaces with isotropic stress. Inspired by the self-supporting property of catenary and the fact that catenoid (the surface of revolution of the catenary curve) is a minimal surface, we discover the relation bet...