http://de.evo-art.org/index.php?action=history&feed=atom&title=Sculptures_in_S3 2026-04-18T13:44:03Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Sculptures_in_S3&diff=3964&oldid=prev 2015-01-28T20:15:27Z

<p>Die Seite wurde neu angelegt: „== Reference == Saul Schleimer and Henry Segerman: <a href="/index.php?title=Sculptures_in_S3" title="Sculptures in S3">Sculptures in S3</a>. In: <a href="/index.php?title=Bridges_2012" title="Bridges 2012">Bridges 2012</a>. Pages 103–110 == DOI == == Abstract == We construct a numbe…“</p> <p><b>Neue Seite</b></p><div>== Reference ==<br /> Saul Schleimer and Henry Segerman: [[Sculptures in S3]]. In: [[Bridges 2012]]. Pages 103–110 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We construct a number of sculptures, each based on a geometric design native to the three-dimensional sphere.<br /> Using stereographic projection we transfer the design from the three-sphere to ordinary Euclidean space. All of the<br /> sculptures are then fabricated by the 3D printing service Shapeways.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-<br /> Verlag, New York, 1983.<br /> <br /> [2] John H. Conway and Derek A. Smith, On quaternions and octonions: their geometry, arithmetic, and<br /> symmetry, A K Peters Ltd., Natick, MA, 2003.<br /> <br /> [3] H. S. M. Coxeter, Regular polytopes, third ed., Dover Publications Inc., New York, 1973.<br /> <br /> [4] Manfredo Perdigão do Carmo, Riemannian geometry, Mathematics: Theory &amp; Applications,<br /> Birkhäuser Boston Inc., Boston, MA, 1992, Translated from the second Portuguese edition by Francis<br /> Flaherty.<br /> <br /> [5] George W. Hart, 4d polytope projection models by 3d printing, to appear in Hyperspace.<br /> <br /> [6] H. Blaine Lawson, Complete minimal surfaces in S3 , Annals of Mathematics 92 (1970), no. 3, 335–374.<br /> <br /> [7] D. Lerner and D. Asimov, The Sudanese Möbius band (video), In SIGGRAPH Video Review, 1984.<br /> <br /> [8] Fritz H. Obermeyer, Jenn3d, a computer program for visualizing Coxeter polytopes, available from http://www.math.cmu.edu/~fho/jenn/<br /> <br /> [9] Adrian Ocneanu, Octacube, http://science.psu.edu/news-and-events/2005-news/math10-2005.htm.<br /> <br /> [10] Charles Perry, Zero, http://www.charlesperry.com/sculpture/zero.<br /> <br /> [11] Günter M. Ziegler, Lectures on polytopes, Graduate Texts in Mathematics, vol. 152, Springer-Verlag,<br /> New York, 1995.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2012/bridges2012-103.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2012/bridges2012-103.html</div>

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