Patterns on the Genus-3 Klein Quartic
Inhaltsverzeichnis
Reference
Carlo H. Séquin: Patterns on the Genus-3 Klein Quartic. In: Bridges 2006. Pages 245–254
DOI
Abstract
Projections of Klein's quartic surface of genus 3 into 3D space are used as canvases on which we present regular tessellations, Escher tilings, knot- and graph-embedding problems, Hamiltonian cycles, Petrie polygons and equatorial weaves derived from them. Many of the solutions found have also been realized as small physical models made on rapid-prototyping machines.
Extended Abstract
Bibtex
Used References
[1] C. Adams, The Knot Book. W. H. Freeman and Co., New York, 1994.
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[6] S. Levy, The Eightfold Way: The Beauty of Klein’s Quartic Curve. Cambridge University Press, 1999.
[7] C. H. Séquin, Viae Globi - Pathways on a Sphere. Proc. Mathematics and Design Conference, pp 366–374, Geelong, Australia, July 3-5, 2001.
[8] C. H. Séquin, and L. Xiao, K12 and the Genus-6 Tiffany Lamp. Proc. ISAMA CTI 2004, pp 49–52, Chicago, June. 17-19, 2004.
[9] C. H. Séquin, Tilings on Klein’s quartic and on the Poincaré disk. -- http://www/~sequin/GEOM/TILES/
[10] J. Yen and C. H. Séquin, Escher Sphere Construction Kits. Proc. Interactive 3D Graphics Symposium, pp 95- 98, Research Triangle Park, NC, March 19-21, 2001.
Links
Full Text
http://archive.bridgesmathart.org/2006/bridges2006-245.pdf
