Abstract
Origami is a “bottom-up” method for surface modeling which contributes to more possibility for the exploration of architectural forms. In this paper, we investigate the geometrical properties of rigid folding and Miura-ori pattern. The geometrical rules in the folding process of several variations of Miura-ori are obtained. Additionally, we present three new variations and describe the folding process in a 3D coordinate system which provides more possibilities for origami surface generation. The folding process is simulated by describing the path of the vertex. This method explores a unified approach to 3D folding model simulation in Rhinoceros/Grasshopper.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
D. Huffman, Curvature and creases: a primer on paper, Washington, DC: IEEE Trans. Computers, 1976,10:1010–1019.
- 2.
Thomas Hull, Project Origami, Boca Raton: CRC Press, 2012.
References
Falk, A., von Buelow, P., Kirkegaard, P.H.: Folded plate structures as building envelopes. In: World Conference on Timber Engineering (WCTE 2012): The Future of Timber Engineering, vol. 10:5, pp. 155–164 (2012)
Gioia, F., Dureisseix, D., Raducanu, V., Maurin, B., Motro, R.: Conceptual design, realization and experimentation on a foldable/unfoldable corrugated curved envelop. In: IASS-APCS Symposium 2012: From Spatial Structures to Space Structures, 2012, Seoul, South Korea. 7 p. on CD-ROM (2012)
Hemmerling, M.: Origamics: digital folding strategies in architecture. In: Proceedings of the 5th ASCAAD-Conference, National School of Architecture Fès, Morocco, pp. 89–95 (2010)
Joseph, M.: Gattas, Miura-base rigid origami: parameterizations of first-level derivative and piecewise geometries. New York J. Mech. Design 135(11), 111011 (2013)
Miura, K.: Zeta-core sandwich-its concept and realization, Institute of Space Aeronaut, Tokyo, pp. 137–164 (1972)
Megahed, Naglaa A.: Origami folding and its potential for architecture students. Design J. 20(2), 279–297 (2017)
Tachi, T.: Generalization of rigid-foldable quadrilateral-mesh Origami, Tokyo. J. Int. Assoco. 50, 173–179 (2009)
Trautz, M., Herkrath, R.: The application of folded plate principles on spatial structures with regular, irregular and free-form geometries. In: Symposium of the International Association for Shell and Spatial Structures. Editorial Universitat Politècnica de València (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Wang, Z., Jia, F., Chen, Z., Ji, G. (2020). Computational Methods for Curved Surface Modeling Based on Muria-Ori. In: Yuan, P., Xie, Y., Yao, J., Yan, C. (eds) Proceedings of the 2019 DigitalFUTURES . CDRF 2019. Springer, Singapore. https://doi.org/10.1007/978-981-13-8153-9_20
Download citation
DOI: https://doi.org/10.1007/978-981-13-8153-9_20
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8152-2
Online ISBN: 978-981-13-8153-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)