Design of Regular One-Dimensional, Two-Dimensional, and Three-Dimensional Linkage-Based Tessellations

Journal Article (2020)
Author(s)

Alden D. Yellowhorse (TU Delft - Mechanical Engineering)

Nathan Brown (Brigham Young University)

Larry L. Howell (Brigham Young University)

Research Group
Mechatronic Systems Design
DOI related publication
https://doi.org/10.1115/1.4045936 Final published version
More Info
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Publication Year
2020
Language
English
Research Group
Mechatronic Systems Design
Issue number
2
Volume number
12
Article number
021104
Downloads counter
149

Abstract

Linkage origami is one effective approach for addressing stiffness and accommodating panels of finite size in origami models and tessellations. However, successfully implementing linkage origami in tessellations can be challenging. In this work, multiple theorems are presented that provide criteria for designing origami units or cells that can be assembled into arbitrarily large tessellations. The application of these theorems is demonstrated through examples of tessellations in two and three dimensions.