http://de.evo-art.org/index.php?action=history&feed=atom&title=Geometric_Visual_Instruments_Based_on_Object_Rolling 2026-05-17T01:37:25Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Geometric_Visual_Instruments_Based_on_Object_Rolling&diff=3923&oldid=prev 2015-01-28T14:37:55Z

<p>Die Seite wurde neu angelegt: „ == Reference == Akihiro Matsuura, Jyunki Hashimoto and Kento Okuno: <a href="/index.php?title=Geometric_Visual_Instruments_Based_on_Object_Rolling" title="Geometric Visual Instruments Based on Object Rolling">Geometric Visual Instruments Based on Object Rolling</a>. In: <a href="/index.php?title=Bridges_2013" title="Bridges 2013">Bridges 2013</a>. Pages 303…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Akihiro Matsuura, Jyunki Hashimoto and Kento Okuno: [[Geometric Visual Instruments Based on Object Rolling]]. In: [[Bridges 2013]]. Pages 303–310 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> If some object can be manipulated using a part of a body, especially, using hands, to create a sequence of<br /> aesthetically or geometrically attractive visual patterns, we call it the visual instrument. In this paper, we present<br /> visual instruments based on rolling objects on geometric surfaces. First, we present visual instruments that use line<br /> segments (or physically, batons) and geometric surfaces such as a cylinder, a globe, and a sequence of truncated<br /> cylindrical surfaces on which to roll the batons. We also present the visual instrument called the “gourds”, which<br /> are made of some circular arcs. We made simulation for visualizing tempo-spatial patterns and roulettes the<br /> instruments create. Through construction of the visual instruments and their manipulation, we have confirmed that<br /> they have a high potential for use in manipulative visual performance and play.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] J. Martin, “The Helen of Geometry”, College Mathematics Journal, Vol. 41, No. 1, pp. 17-27, 2010.<br /> <br /> [2] R. A. Proctor, A Treatise on the Cycloid and All Forms of Cycloidal Curves, and on the Use of Such<br /> Curves in Dealing with the Motions of Planets, Comets, &amp;c., and of Matter Projected from the Sun,<br /> Longmans, Green and Co., 1878.<br /> <br /> [3] Q. Playfair. “Curtate Cycloid Arching in Golden Age Cremonese Violin Family Instruments”. Catgut<br /> Acoustical Society Journal, II 4 (7), pp. 48–58, 2003.<br /> <br /> [4] C. Huygens, Horologium Oscillatorium sive de Motu Pendulorum ad Horologia aptato<br /> Demonstrationes Geometricae, Google e-Books, 1673.<br /> <br /> [5] S. Wagon, “The Ultimate Flat Tire”, Math Horizons, pp. 14-17, Feb. 1999.<br /> <br /> [6] A. Matsuura, “Spherical Juggling”, Proc. of Interdisciplinary Conference of the International Society<br /> of the Art, Mathematics and Architecture (ISAMA/CTI2004), pp. 89-94, 2004.<br /> <br /> [7] A. Matsuura, “Strange Physical Motion of Balls in a Cylinder”, Proc. of Bridges Conference 2005:<br /> Mathematical Connection in Art, Music, and Science, pp. 345-346, 2005.<br /> <br /> [8] A. Matsuura, “Anti-Gravitational Motion of Balls in a Cylinder”, Exchange Book, Vol. 1, Gathering<br /> for Gardner 7, 2006.<br /> <br /> [9] B. Polster, The Mathematics of Juggling, Springer Verlag, 2002.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2013/bridges2013-303.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2013/bridges2013-303.html</div>

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