Rectifying Strip Patterns

Type: Journal Paper
Title: Rectifying Strip Patterns
Year: 2023
Authors: Bolun Wang, Hui Wang, Eike Schling, Helmut Pottmann
Published in: ACM Trans. Graph., Vol. 1, No. 1, Article 256.
Available: January 2023
DOIhttps://doi.org/10.1145/3618378
Office: KAUST, Saudi Arabia; University of Hong Kong

Abstract

Straight flat strips of inextensible material can be bent into curved strips aligned with arbitrary space curves. The large shape variety of these so-called rectifying strips makes them candidates for shape modelling, especially in applications such as architecture where simple elements are preferred for
the fabrication of complex shapes. In this paper, we provide computational tools for the design of shapes from rectifying strips. They can form various patterns and fulfil constraints which are required for specific applications such as gridshells or shading systems. The methodology is based on discrete models of rectifying strips, a discrete level-set formulation and optimisation-based constrained mesh design and editing. We also analyse the geometry at nodes and present remarkable quadrilateral arrangements of rectifying strips with torsion-free nodes.

Keywords

architectural geometry, computational design, computational fabrication, gridshell, shading system,
pseudo-geodesic

Prototypical model built from timber veneer strips at an inclination angle of constant 50°, creating a triple symmetric cantilevering roof structure. The constant incline allows for repetition in the joints and creates a beneficial orientation of beams to carry gravity loads.
Digital and physical model of a PPG-3-web. The lamellas are connected laterally through 3D-printed joints and steel bolts. The pseudo geodesic lamellas on top (orange) and bottom (red) have 𝜃 = 60◦ inclination. The geodesic lamellas (yellow) are fitted in between.
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About eikeschling

Dr.-Ing. | Architect BYAK Assistant Professor in Architectural Structures The University of Hong Kong

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