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Computational origami: from flapping birds to space telescopes

Published: 08 June 2009 Publication History

Abstract

In this paper, I discuss developments in computational origami, the application of computation geometry to the creation of art and technology. Origami, the Japanese art of paperfolding, is a tightly constrained art form (one sheet, no cuts in the most common form) and techniques and concepts from CG have revolutionized the art and have led to remarkable practical applications.

References

[1]
Brossman, M. and Brossman, J., 1961. A Japanese Paper-Folding Classic, (Excerpt from the "Lost" Kan no mado). Pinecone Press, Washington, DC.
[2]
Fuchs, D. and Tabachnikov, S., 1999. More on Paper Folding. The American Mathematical Monthly, Vol. 106, No. 1 (Jan., 1999), pp. 27--35.
[3]
Bianchi, 1899. Vorlesungen über Differentialgeometrie. Leipzig, B. G. Teubner. Resch, R. 1973. The Topological Design of Sculptural and Architectural Systems. National Computer Conference, pp. 643--650.
[4]
Huffman, D A. 1976. Curvature and Creases: A Primer on Paper. IEEE Transactions on Computers, vol. C--25, No. 10, pp. 1010--1019.
[5]
Bern, M. and Hayes, B. 1996. The Complexity of Flat Origami, Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms.
[6]
Lang, Robert J. 1996. A Computational Algorithm for Origami Design, Proceedings of the 12th Annual Symposium on Computational Geometry.
[7]
Lang, Robert J. TreeMaker. http://www.langorigami.com/treemaker.htm.
[8]
Tachi, T. Origamizer. http://www.tsg.ne.jp/TT/software/.
[9]
Bateman, A. Tess. http://www.papermosaics.co.uk/software.html.

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  • (2024)Waxpaper Actuator: Sequentially and Conditionally Programmable Wax Paper for Morphing InterfacesProceedings of the 2024 CHI Conference on Human Factors in Computing Systems10.1145/3613904.3642373(1-16)Online publication date: 11-May-2024
  • (2023)Folding Every Point on a Polygon Boundary to a PointAlgorithms10.3390/a1606028116:6(281)Online publication date: 31-May-2023
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cover image ACM Conferences
SCG '09: Proceedings of the twenty-fifth annual symposium on Computational geometry
June 2009
426 pages
ISBN:9781605585017
DOI:10.1145/1542362

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 June 2009

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Author Tags

  1. developable surfaces
  2. folding
  3. origami

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Cited By

View all
  • (2024)Design and Simulation Tool for Sequentially and Conditionally Programmable Waxpaper Morphing InterfacesExtended Abstracts of the CHI Conference on Human Factors in Computing Systems10.1145/3613905.3648661(1-5)Online publication date: 11-May-2024
  • (2024)Waxpaper Actuator: Sequentially and Conditionally Programmable Wax Paper for Morphing InterfacesProceedings of the 2024 CHI Conference on Human Factors in Computing Systems10.1145/3613904.3642373(1-16)Online publication date: 11-May-2024
  • (2023)Folding Every Point on a Polygon Boundary to a PointAlgorithms10.3390/a1606028116:6(281)Online publication date: 31-May-2023
  • (2023)SkinPaper: Exploring Opportunities for Woven Paper as a Wearable Material for On-Skin InteractionsProceedings of the 2023 CHI Conference on Human Factors in Computing Systems10.1145/3544548.3581034(1-16)Online publication date: 19-Apr-2023
  • (2021)3DP-Ori: Bridging-Printing Based Origami Fabrication Method with Modifiable Haptic propertiesAdjunct Proceedings of the 34th Annual ACM Symposium on User Interface Software and Technology10.1145/3474349.3480233(74-77)Online publication date: 10-Oct-2021
  • (2021)Origami-Inspired Snap-through Bistability in Parallel and Curved Mechanisms Through the Inflection of Degree Four Vertexes2021 IEEE International Conference on Robotics and Automation (ICRA)10.1109/ICRA48506.2021.9562094(10863-10869)Online publication date: 30-May-2021
  • (2021)Modeling and characterization of viscoelastic origami structures using a temperature variation-based modelComputers & Structures10.1016/j.compstruc.2020.106473246(106473)Online publication date: Apr-2021
  • (2020)Self-foldable origami reflector antenna enabled by shape memory polymer actuationSmart Materials and Structures10.1088/1361-665X/abaac229:11(115011)Online publication date: 22-Sep-2020
  • (2019)Self-folding origami surfaces of non-zero Gaussian curvatureBehavior and Mechanics of Multifunctional Materials XIII10.1117/12.2514906(26)Online publication date: 29-Mar-2019
  • (2019)Introduction to Active Origami StructuresActive Origami10.1007/978-3-319-91866-2_1(1-53)Online publication date: 2019
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