http://de.evo-art.org/index.php?action=history&feed=atom&title=Mathematical_Methods_in_Origami_Design 2026-06-13T10:40:43Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Mathematical_Methods_in_Origami_Design&diff=4061&oldid=prev 2015-01-29T19:30:40Z

<p>Die Seite wurde neu angelegt: „ == Reference == Robert J. Lang: <a href="/index.php?title=Mathematical_Methods_in_Origami_Design" title="Mathematical Methods in Origami Design">Mathematical Methods in Origami Design</a>. In: <a href="/index.php?title=Bridges_2009" title="Bridges 2009">Bridges 2009</a>. Pages 11–20 == DOI == == Abstract == The marriage of a…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Robert J. Lang: [[Mathematical Methods in Origami Design]]. In: [[Bridges 2009]]. Pages 11–20 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> The marriage of art and mathematics has been widespread and productive, but almost nowhere more productive than<br /> in the world of origami. In this paper I will discuss how mathematical ideas led to the development of powerful<br /> tools for origami design and will present a step-by-step illustration of the design and realization of a representational<br /> origami figure using mathematical design algorithms. Along the way, I will discuss how these mathematical concepts<br /> have led to new levels of creative expression within this art.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Robert J. Lang. Mathematical algorithms for origami design. Symmetry: Culture and Science,<br /> 5(2):115–152, 1994.<br /> <br /> [2] Robert J. Lang. Origami Insects and their Kin. Dover Publications, 1995.<br /> <br /> [3] Robert J. Lang. A computational algorithm for origami design. In 12th ACM Symposium on Computa-<br /> tional Geometry, pages 98–105, 1996.<br /> <br /> [4] Robert J. Lang. The tree method of origami design. In Koryo Miura, editor, Origami Science and Art:<br /> Proceedings of the Second International Meeting of Origami Science and Scientific Origami, pages<br /> 73–82, Ohtsu, Japan, 1997.<br /> <br /> [5] Robert J. Lang. Scorpion, opus 379, 2002. http://www.langorigami.com/art/gallery/gallery.php4?name=scorpion_varileg <br /> <br /> [6] Robert J. Lang. Origami Design Secrets: Mathematical Methods for an Ancient Art. A K Peters, 2003.<br /> <br /> [7] Robert J. Lang. Origami Insects II. Gallery Origami House, 2003.<br /> <br /> [8] Robert J. Lang. TreeMaker, 2003. http://www.langorigami.com/treemaker.htm.<br /> <br /> [9] Toshiyuki Meguro. Jitsuyou origami sekkeihou [practical methods of origami designs]. Origami Tan-<br /> teidan Shinbun, 2(7–14), 1991–1992.<br /> <br /> [10] Toshiyuki Meguro. ‘Tobu Kuwagatamushi’-to Ryoikienbunshiho [‘Flying Stag Beetle’ and the circular<br /> area molecule method]. In Oru, pages 92–95. 1994.<br /> <br /> [11] R. T. Rockafellar. Augmented Lagrangian multiplier functions and duality in nonconvex programming.<br /> SIAM Journal on Control, 12(2):268–285, 1974.<br /> <br /> [12] Andre Tits. CFSQP. http://www.aemdesign.com.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2009/bridges2009-11.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2009/bridges2009-11.html</div>

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