Discrete Orthogonal Structures

Orthogonal multi-nets, Principal meshes, Developable surfaces, CMC surfaces, Principal stress net

Publication

It was accepted by the Shape Modeling International (SMI2023) conference, and presented during the International Geometry Summit (IGS2023) from July 3rd to 7th in Genova, Italy. This paper won the \({\color{red}Best Paper (Honourable Mention)}\) out of the 20 accepted papers (63 submissions). Twitter URL It has been published in the Computers & Graphics journal.

Authors

Felix Dellinger, Xinye Li, and Hui Wang* (corresponding author)

Graphical Abstract
PDF

paper

Code

Open source :snake: code has been released in Github. :octocat: Welcome!

Figures

More views of renderings:

Torsion-free gridshell structure, whose underlying net is an orthogonal planar-quad net (PQ-net), i.e. principal curvature net.
Minimal gridshell structure, whose underlying net is an orthogonal Asymptotic net (A-net), i.e. minimal net.
Circular gridshell structure, whose underlying net is an orthogonal principal symmetric net (S-net) with a constant radius, i.e. constant mean curvature net (CMC-net).
Principal stress (equilibrium) structure, whose underlying net is an orthogonal furnicular net, i.e. principal stress net.

GIF

Form-finding of the initial minimal net.