Designing freeform origami tessellations by generalizing resch's patterns

Journal of Mechanical Design

Volumn 135, Issue 11, 2013, Pages

  Tachi, Tomohiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE LIMITATION; DEVELOPABILITY; FOLDINGS; FREEFORMS; GEOMETRIC CONSTRAINT; INITIAL CONFIGURATION; LOCAL CONFIGURATIONS; POLYHEDRAL SURFACE; TESSELLATED SURFACES; VERTEX COORDINATES;

DESIGN;

EID: 84887029373     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.4025389     Document Type: Article

References (13)

1. Tachi, T., 2010, "Origamizing Polyhedral Surfaces," IEEE Trans. Vis. Comput. Graph., 16(2), pp. 298-311.
2. Fujimoto, S., 1976, "Souzousei wo kaihatsu suru rittai origami," Hyougo-ken Gakkou Kouseikai Tamba Shibu (in Japanese).
3. Miura, K., 1970, "Proposition of Pseudo-Cylindrical Concave Polyhedral Shells," Proceedings of IASS Symposium on Folded Plates and Prismatic Structures.
4. Davis, E., Demaine, E. D., Demaine, M. L., and Ramseyer, J., 2013, "Reconstructing David Huffman's Origami Tessellations," Proceedings of the ASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference.
5. Resch, R. D., 1968, "Self-Supporting Structural Unit Having a Series of repetitious Geometrical Modules," U.S. patent no. 3,407,558.
6. Resch, R. D., and Christiansen, H., 1970, "The Design and Analysis of Kinematic Folded Plate Systems," Proceedings of IASS Symposium on Folded Plates and Prismatic Structures.
7. Tachi, T., 2010, "Freeform Variations of Origami," J. Geom. Graph., 14(2), pp. 203-215.
8. Bateman, A., 2002, "Computertools and Algorithms for Origami Tessellation Design," Origami 3: Proceedings of the 3rd International Meeting of Origami Mathematics, Science, and Education, pp. 121-127.
9. Lang, R. J., and Bateman, A., 2011, "Every Spider Web has a Simple Flat Twist Tessellation," Origami 5, P. Wang-Iverson, R. J. Lang, and M. Yim, eds., CRC Press, pp. 455-473.
10. Sheffer, A., and de Sturler, E., 2001, "Parameterization of Faceted Surfaces for Meshing Using Angle-Based Flattening," Eng. Comput., 17(3), pp. 326-337. (Pubitemid 33074059)
11. Streinu, I., and Whiteley, W., 2005, "Single-Vertex Origami and Spherical Expansive Motions," Lect. Notes Comput. Sci., 3742, pp. 161-173.
12. Cantarella, J. H., Demaine, E. D., Iben, H. N., and O'Brien, J. F., 2004, "An Energy-Driven Approach to Linkage Unfolding," Proceedings of the 20th Annual Symposium on Computational Geometry, pp. 134-143.
13. Tachi, T., 2009, "Simulation of Rigid Origami," Origami 4: The Fourth International Conference on Origami in Science, Mathematics, and Education, R. Lang, ed., A K Peters, Natick, MA, pp. 175-187.