The Klein bottle: Variations on a theme

Notices of the American Mathematical Society

Volumn 59, Issue 8, 2012, Pages 1076-1082

  Franzoni, Gregorio ^a  

^a UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84865805123     PISSN: 00029920     EISSN: 10889477     Source Type: Journal    
DOI: 10.1090/noti880     Document Type: Article

References (26)

1. F. Apéry, Models of the Real Projective Plane, Vieweg, 1987.
2. F. Apéry and G. Franzoni, Il rovesciamento della sfera: un modello materiale della fase centrale, Rendiconti del Seminario della Facoltà di Scienze dell'Università di Cagliari (1999), 1-18.
3. T. Banchoff, Minimal submanifolds of the bicylinder boundary, Boletim da Sociedade Brasileira de Matematica 7 (1976), 37-57.
4. Steven Feiner, David Salesin, and Thomas Banchoff, Dial: A Diagrammatic Animation Language, IEEE Computer Graphics and Applications, September (1982), 43-54.
5. T. Banchoff, Beyond the Third Dimension: Geometry, Computer Graphics and Higher Dimensions, Second Edition, Freeman, 1990.
6. T. Banchoff, private communication.
7. C. P. Bruter, Mathematics and Art, Springer, Paris, 2002.
8. R. Caddeo and A. Gray, Curve e Superfici, Volume I, CUEC, 2000.
9. Concise Encyclopedia of Mathematics, Second Edition, CRC Press LLC, 2003.
10. P. Chang, Klein bottle in four parts, 1993, http://www.ifp.illinois.edu/~sdickson/Klein/Klein.html.
11. S. Dickson, Klein bottle graphic, 1991, http://library.wolfram.com/infocenter/MathSource/4560/.
12. Ivars Peterson, Plastic Math, Science News, vol. 140, no. 5, Aug. 3, 1991, 72-73.
13. G. Fischer, Mathematische Modelle: Mathematical Models, Vieweg, Inc., 1986.
14. G. K. Francis, A topological picturebook, Springer-Verlag, New York, 1987.
15. D. Hilbert and S. Cohn-Vossen, Geometry and the Imagination, Chelsea Publishing Co., New York, 1952.
16. A. Jackson, Dirk Struik celebrates his 100th, Notices of the AMS 42 (1995), 43-45.
17. I. James and E. Thomas, Note on the classification of cross-sections, Topology 4 (1966), 351-359.
18. F. Klein, Über Riemann's theorie der algebraischen Funktionen und ihrer Integrale, Teubner Verlag, Leipzig, 1882.
19. 3, Ann. of Math. 92 (1970), 335-374.
20. R. S. Palais, The visualization of mathematics: Towards a mathematical exploratorium, Notices of the AMS 46 (1999), 647-658.
21. U. Pinkall, Regular homotopy classes of immersed surfaces, Topology 24 (1985), 421-432.
22. C. H. Séquin, Art, math, and computers: New ways of creating pleasing shapes, Bridges 1998, Mathematical Connections in Art, Music, and Science, Reza Sarhangi, Editor, 1998, 1-10.
23. C. H. Séquin, From Möbius bands to Klein-Knottles, to appear in the Proceedings of the Bridges Conference, 2012.
24. M. Trott, Constructing an algebraic Klein bottle, Mathematica in Education and Research 8 (1999), 24-27.
25. http://www.wolfram.com.
26. http://www.zcorp.com.