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<p>Die Seite wurde neu angelegt: „== Reference == Carlo H. Séquin: <a href="/index.php?title=Patterns_on_the_Genus-3_Klein_Quartic" title="Patterns on the Genus-3 Klein Quartic">Patterns on the Genus-3 Klein Quartic</a>. In: <a href="/index.php?title=Bridges_2006" title="Bridges 2006">Bridges 2006</a>. Pages 245–254 == DOI == == Abstract == Projections of …“</p> <p><b>Neue Seite</b></p><div>== Reference ==<br /> Carlo H. Séquin: [[Patterns on the Genus-3 Klein Quartic]]. In: [[Bridges 2006]]. Pages 245–254 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Projections of Klein&#039;s quartic surface of genus 3 into 3D space are used as canvases on which we<br /> present regular tessellations, Escher tilings, knot- and graph-embedding problems, Hamiltonian<br /> cycles, Petrie polygons and equatorial weaves derived from them. Many of the solutions found<br /> have also been realized as small physical models made on rapid-prototyping machines.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] C. Adams, The Knot Book. W. H. Freeman and Co., New York, 1994.<br /> <br /> [2] D. Dunham, 168 Butterflies on a Polyhedron of Genus 3. Bridges 2002, Baltimore, Conf. Proc., pp 197–204.<br /> <br /> [3] A. Holden, Orderly Tangles. Columbia University Press, New York, 1983.<br /> <br /> [4] A. Hurwitz, Ueber algebraische Gebilde mit eindeutingen Transformationen unter sich. Math. Annalen 41<br /> (1893) pp 403-442.<br /> <br /> [5] F. Klein, Ueber die Transformationen siebenter Ordnung der elliptischen Funktionen. Math Ann. Vol 14, 1879.<br /> (Translation into English by S. Levy [4]).<br /> <br /> [6] S. Levy, The Eightfold Way: The Beauty of Klein’s Quartic Curve. Cambridge University Press, 1999.<br /> <br /> [7] C. H. Séquin, Viae Globi - Pathways on a Sphere. Proc. Mathematics and Design Conference, pp 366–374,<br /> Geelong, Australia, July 3-5, 2001.<br /> <br /> [8] C. H. Séquin, and L. Xiao, K12 and the Genus-6 Tiffany Lamp. Proc. ISAMA CTI 2004, pp 49–52, Chicago,<br /> June. 17-19, 2004.<br /> <br /> [9] C. H. Séquin, Tilings on Klein’s quartic and on the Poincaré disk. -- http://www/~sequin/GEOM/TILES/<br /> <br /> [10] J. Yen and C. H. Séquin, Escher Sphere Construction Kits. Proc. Interactive 3D Graphics Symposium, pp 95-<br /> 98, Research Triangle Park, NC, March 19-21, 2001.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2006/bridges2006-245.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2006/bridges2006-245.html</div>

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