http://de.evo-art.org/index.php?action=history&feed=atom&title=Curving_Spirolaterals 2026-05-05T16:21:33Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Curving_Spirolaterals&diff=4277&oldid=prev 2015-02-01T13:12:04Z

<p>Die Seite wurde neu angelegt: „ == Reference == Robert J. Krawczyk: <a href="/index.php?title=Curving_Spirolaterals" title="Curving Spirolaterals">Curving Spirolaterals</a>. In: <a href="/index.php?title=Bridges_2001" title="Bridges 2001">Bridges 2001</a>. Pages 29–36 == DOI == == Abstract == Spirolaterals are square spiral…“</p> <p><b>Neue Seite</b></p><div><br /> == Reference ==<br /> Robert J. Krawczyk: [[Curving Spirolaterals]]. In: [[Bridges 2001]]. Pages 29–36 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Spirolaterals are square spirals constructed of straight lines of increasing length. This paper investigates<br /> methods that can be used to transform their straight line turns into curves. From the tens of thousands of<br /> possible spiro laterals which have beell found, that are all closed, with and without reversed turns, a series of<br /> artworks is developed showing possible curving methods: curve jitting, splines, inversion, antiMercator and<br /> circular trallsforlllations, along with hypocycloid and epicycloid curves. These transformations are<br /> implemented using CAD methods and custom software. A series ofparameters are discussed which generate<br /> a variety of arn.llork.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Abelson, Harold, diSessa, Andera, 1968, Turtle Geometry, MIT Press, pp.37-39, 120-122<br /> <br /> [2] Dixon, Robert, 1987, Mathographics, Dover Publications, Inc., p.152<br /> <br /> [3] Gardner, Martin, 1986, Knotted Doughnuts and Other Mathematical Entertainments, W. H. Freemand<br /> and Company, pp. 205-208<br /> <br /> [4] Krawczyk, Robert, 1999, &quot;Spirolaterals, Complexity from Simplicity&quot;, in International Society oj<br /> Arts, Mathematics and Architecture 1999, edited by N. Friedman and 1. Barrallo, The University of the<br /> Basque Country, pp. 293-299<br /> <br /> [5] Krawczyk, Robert, 2000, &quot;The Art of Spirolaterals&quot;, in The Millennial Open Symposium on the Arts<br /> and Interdisciplinary Computing, edited by D. Salesin and C. Sequin, University of Washington, pp. 127-<br /> 136<br /> <br /> [6] Krawczyk, Robert, 2000, &quot;The Art of Spirolateral Reversal&quot;, in International Society oj Arts,<br /> Mathematics and Architecture 2000, edited by N. Friedman, University of Albany-SUNY<br /> <br /> [7] Lawrence, J. Dennis, 1972, A Catalog oJSpecial Curves, Dover Publications, Inc., p.43<br /> <br /> [8] Odds, Frank, &quot;Spirolaterals&quot;, Mathematics Teacher, February 1973, pp.121-124<br /> <br /> [9] Weisstein, Eric, 1999, Concise Encyclopedia oj Mathematics, CD-ROM edition 1.0, Chapman &amp;<br /> Hall/CRCnetBASE<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2001/bridges2001-29.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2001/bridges2001-29.html</div>

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