Modeling origami for computational construction and beyond

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4706 LNCS, Issue PART 2, 2007, Pages 653-665

  Ida, Tetsuo ^a   Takahashi, Hidekazu ^a   Marin, Mircea ^a   Ghourabi, Fadoua ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; MATHEMATICAL MODELS;

ORIGAMI EXAMPLES; SPECIFIC FOLD METHOD;

COMPUTATIONAL METHODS;

EID: 38049163915     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74477-1_60     Document Type: Conference Paper

References (11)

1. Alperin, R.C.: A Mathematical Theory of Origami Constructions and Numbers. New York Journal of Mathematics 6, 119-133 (2000)
2. Alperin, R.C., Lang, R.J.: One, two, and multi-fold origami axioms. In: Proceedings of 4th International Conference on Origami, Science, Mathematics and Education. 4OSME, Caltech, Pasadena CA (2006)
3. Ghourabi, F., Ida, T., Takahashi, H., Marin, M., Kasem, A.: Logical and algebraic view of huzita's origami axioms with applications to computational origami. In: Proceedings of the 22nd ACM Symposium on Applied Computing, pp. 767-772. ACM Press, New York (2007)
4. Huzita, H.: Axiomatic Development of Origami Geometry. In: Huzita, H. (ed.) Proceedings of the First International Meeting of Origami Science and Technology, pp. 143-158 (1989)
5. Ida, T., Marin, M., Takahashi, H.: Computational Origami of a Morley's Triangle. In: Kohlhase, M. (ed.) MKM 2005. LNCS (LNAI), vol. 3863, p. 267. Springer, Heidelberg (2006)
6. Ida, T., Marin, M., Takahashi, H., Ghourabi, F.: Computational origami construction as constraint solving and rewriting. In: 16th International Workshop on Functional and (Constraint) Logic Programming (WFLP 2007) (2007)
7. Ida, T., Takahashi, H., Marin, M., Ghourabi, F., Kasem, A.: Computational Construction of a Maximal Equilateral Triangle Inscribed in an Origami. In: Iglesias, A., Takayama, N. (eds.) ICMS 2006. LNCS, vol. 4151, pp. 361-372. Springer, Heidelberg (2006)
8. Mitani, J.: Recognition, modeling and rendering method for origami using 2d bar codes. In: Proceedings of 4th International Conference on Origami, Science, Mathematics and Education. 40SME, Caltech, Pasadena CA (2006)
9. Mitani, J., Suzuki, H.: Modeling and rendering for understanding the conformation of origami. Transactions of Information Processing Society of Japan 46, 247-254 (2005) (in Japanese)
10. Miyazaki, S., Yasuda, T., Yokoi, S., Toriwaki, J.: An origami playing simulator in the virtual space. The Journal of Visualization and Computer Animation 7
11. Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media (2003)