http://de.evo-art.org/index.php?action=history&feed=atom&title=Doyle_Spiral_Circle_Packings_Animated 2026-04-18T14:19:16Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Doyle_Spiral_Circle_Packings_Animated&diff=4108&oldid=prev 2015-01-30T11:13:52Z

<p>Die Seite wurde neu angelegt: „ == Reference == Alan Sutcliffe: <a href="/index.php?title=Doyle_Spiral_Circle_Packings_Animated" title="Doyle Spiral Circle Packings Animated">Doyle Spiral Circle Packings Animated</a>. In: <a href="/index.php?title=Bridges_2008" title="Bridges 2008">Bridges 2008</a>. Pages 131–138 == DOI == == Abstract == Doyle spiral cir…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Alan Sutcliffe: [[Doyle Spiral Circle Packings Animated]]. In: [[Bridges 2008]]. Pages 131–138 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Doyle spiral circle packings are described. Two such packings illustrate some of the properties of the<br /> packings in general, with some of the mathematics needed for their construction. Each of these two packings<br /> is the basis for a short animation. The first uses self-similarity to make endless zooms by repetition of a<br /> short sequence. The second animation is composed of short sections using the circle packing in different<br /> decorative forms. A visual aid to approximation is described.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Dov Aharonov and Kenneth Stephenson, Geometric Sequences in Discs in the Apollonian Packing,<br /> Algebra i Analiz, 9, 3, 1997, pp 104 – 140.<br /> <br /> [2] Alan Beardon, Tomasz Dubejko and Kenneth Stephenson, Spiral Hexagonal Circle Packings in the<br /> Plane, Geometriae Dedicata, 49, 1994, pp 39 – 70.<br /> <br /> [3] A. L. Bobenko and Tim Hoffman, Conformally Symmetric Circle Packings: a Generalization of<br /> Doyle’s Spirals, Experimental Mathematics, 10, 2001, pp 141 – 150.<br /> <br /> [4] Peter Doyle, He Zheng-Zu and Burt Rodin, Second Derivatives and Estimates for Hexagonal Circle<br /> Packing, Discrete Computational Geometry, 11, 1994, pp 35 - 49.<br /> <br /> [5] Kenneth Stephenson, Introduction to Circle Packing, Cambridge University Press, 2005.<br /> <br /> [6] Ron Weeden, Hexlets and Doyle Spirals and other unpublished papers, revised 2007.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2008/bridges2008-131.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2008/bridges2008-131.html</div>

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