http://de.evo-art.org/index.php?action=history&feed=atom&title=Magnetic_Sphere_Constructions 2026-04-20T15:13:44Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Magnetic_Sphere_Constructions&diff=33251&oldid=prev 2017-12-06T17:37:14Z

<p>Die Seite wurde neu angelegt: „ == Referenz == Henry Segerman and Rosa Zwier: <a href="/index.php?title=Magnetic_Sphere_Constructions" title="Magnetic Sphere Constructions">Magnetic Sphere Constructions</a>. In: <a href="/index.php?title=Bridges_2017" title="Bridges 2017">Bridges 2017</a>, Pages 79–86. == DOI == == Abstract == We investig…“</p> <p><b>Neue Seite</b></p><div><br /> == Referenz == <br /> Henry Segerman and Rosa Zwier: [[Magnetic Sphere Constructions]]. In: [[Bridges 2017]], Pages 79–86. <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We investigate constructions made from magnetic spheres. We give heuristic rules for making stable constructions of polyhedra and planar tilings from loops and saddles of magnetic spheres, and give a theoretical restriction on possible configurations, derived from the Poincaré-Hopf theorem. Based on our heuristic rules, we build relatively stable new planar tilings, and, with the aid of a 3D printed scaffold, a construction of the buckyball. From our restriction, we argue that the dodecahedron is probably impossible to construct. We finish with a simplified physical model, within which we show that a hexagonal loop is in static equilibrium. <br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> @inproceedings{bridges2017:79,<br /> author = {Henry Segerman and Rosa Zwier},<br /> title = {Magnetic Sphere Constructions},<br /> pages = {79--86},<br /> booktitle = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},<br /> year = {2017},<br /> editor = {David Swart, Carlo H. S\&#039;equin, and Krist\&#039;of Fenyvesi},<br /> isbn = {978-1-938664-22-9},<br /> issn = {1099-6702},<br /> publisher = {Tessellations Publishing},<br /> address = {Phoenix, Arizona},<br /> note = {Available online at \url{http://archive.bridgesmathart.org/2017/bridges2017-79.pdf}}<br /> }<br /> <br /> == Used References == <br /> [1] Tai L. Chow. Introduction to electromagnetic theory: a modern perspective. Jones &amp; Bartlett, 2006.<br /> <br /> [2] Samuel Earnshaw. On the nature of the molecular forces which regulate the constitution of the luminiferous<br /> ether. Trans. Camb. Phil. Soc., 7:97–112, 1842.<br /> <br /> [3] Victor Guillemin and Alan Pollack. Differential Topology. AMS Chelsea Publishing. AMS, 2010.<br /> <br /> [4] Heinz E. Knoepfel. Magnetic Fields: A Comprehensive Theoretical Treatise for Practical Use. Wiley,<br /> 2008.<br /> <br /> <br /> == Links == <br /> <br /> === Full Text === <br /> http://archive.bridgesmathart.org/2017/bridges2017-79.pdf<br /> <br /> [[internal file]] <br /> <br /> <br /> === Sonstige Links ===</div>

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