Freeform origami tessellations by generalizing Resch's patterns

Proceedings of the ASME Design Engineering Technical Conference

Volumn 6 B, Issue , 2013, Pages

  Tachi, Tomohiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

ANGLE LIMITATION; GEOMETRIC CONSTRAINT; INITIAL CONFIGURATION; LOCAL CONFIGURATIONS; POLYHEDRAL SURFACE; ROBUST METHODS; TESSELLATED SURFACES; VERTEX COORDINATES;

DESIGN;

EID: 84897001757     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2013-12326     Document Type: Conference Paper

References (13)

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2. Fujimoto, S., 1976. "Souzousei wo kaihatsu suru rittai origami" (in Japanese). Hyougo-ken Gakkou Kouseikai Tamba Shibu.
3. Miura, K., 1970. "Proposition of pseudo-cylindrical concave polyhedral shells". In 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". In 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. United States Patent No. 3,407,558.
6. Resch, R. D., and Christiansen, H., 1970. "The design and analysis of kinematic folded plate systems". In Proceedings of IASS Symposium on Folded Plates and Prismatic Structures.
7. Tachi, T., 2010. "Freeform variations of origami". Journal for Geometry and Graphics, 14(2), pp. 203-215.
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9. Lang, R. J., and Bateman, A., 2011. "Every spider web has a simple flat twist tessellation". In Origami5, 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". Engineering with Computers, 17(3), pp. 326-337.
11. Streinu, I., and Whiteley, W., 2005. "Single-vertex origami and spherical expansive motions". In Lecture Notes in Computer Science 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". In Proceedings of the 20th Annual Symposium on Computational Geometry, pp. 134-143.
13. Tachi, T., 2009. "Simulation of rigid origami". In Origami4: The Fourth International Conference on Origami in Science, Mathematics, and Education, R. Lang, ed., A K Peters, pp. 175-187.