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Bibliography:

  1. Amenta, N., "Four polytopes and a funeral", fifth annual video review of computational geometry, Proc. Assoc. Comp. Mach. Annual Symp. on Comp. Geom., 1995.

  2. Banchoff, T. F., The two-piece property and tight n-manifolds-with-boundary in En, Trans. Amer. Math. Soc. 161 (1971) 259-267.

  3. ----, Triple points and surgery of immersed surfaces, Proc. Amer. Math. Soc. 46 (1974) 407-413.

  4. Banchoff, T. F., and Cervone, D. P., "Complex function graphs", videotape, 1995.

  5. ----, Para além da terceira dimensão, traveling art exhibit, created under the direction of José Francisco Rodrigues, Lisbon, Portugal, 2000; http://alem3d.obidos.org/.

  6. ----, Surfaces beyond the third dimension, art exhibit, Providence Art Club, 31 March to 19 April, 1996; interactive electronic exhibit at http://www.math.brown.edu/~banchoff/art/PAC-9603/, 1996.

  7. ----, An interactive gallery on the internet: "Surfaces beyond the third dimension", International J. of Shape Modeling 5 (1999) 7-22.

  8. ----, Understanding Complex Function Graphs, in progress, 1998.

  9. ----, Math Awareness Month poster and web site, April 2000; http://mam2000.mathforum.com/.

  10. ----, Math Awareness Month 2000: an interactive experience, to appear in The Visual Mind II, ed. Michele Emmer.

  11. ----, A virtual reconstruction of a virtual exhibit, with T. F. Banchoff, to appear in Proceedings of the MTCM Conference, November 2000.

  12. Banchoff, T. F., Gaffney T., and McCrory, C., Cusps of gauss mappings, 1998; remake of an earlier article, now including electronic movies of key examples.

  13. Bokowski, J. and Brehm, U., A polyhedron of genus 4 with minimal number of vertices and maximal symmetry, Geom. Ded. 29 (1989) 53-64.

  14. Brehm, U., Polyheder mit zehn Ecken vom Geschlect drei, Geom. Ded. 11 (1981) 119-124.

  15. ----, A Maximally symmetric polyhedron of genus 3 with 10 vertices, Mathematika 34 (1987) 237-242.

  16. ----, How to build minimal polyhedral models of the Boy surface, Math. Intel. 12 (1990) 51-56.

  17. Cervone, D. P., Vertex-minimal simplicial immersions of the Klein bottle into three-space, Geom. Ded. 50 (1994) 117-141.

  18. ----, A tight polyhedral immersion of the real projective plane with one handle, Pac. J. Math 196 (2000) 113-122.

  19. ----, A new polyhedral surface, 1994.

  20. ----, Tight immersions of simplicial surfaces into three-space, Topology, 35 no. 4 (1996) 863-873.

  21. ----, "Tightness for smooth and polyhedral immersions of the real projective plane with one handle", in Tight and Taut Submanifolds, Proceedings of the Mathematics Sciences Research Institute, ed. T. E. Cecil and S.-S. Chern, 1997, 119-133.

  22. ----, A tight polyhedral immersion of the twisted surface of Euler characteristic -3, Topology 40 no. 3 (2001) 571-584.

  23. ----, Math 53 web site, http://www.math.union.edu/locate/Cervone/courses/2001/MTH053-SP/notes/.

  24. ----, Every tight immersion in three-space of the projective plane with one handle is asymmetric, submitted to the Pacific Journal of Mathematics, 2001.

  25. Cervone, D. P., and Banchoff, T. F., eds., Communications in Visual Mathematics, prototype issue, 1998.

  26. Császár, A., A polyhedron without diagonals, Acta. Sci. Math. Szeged 13 (1949) 140-142.

  27. De Loera, J., and Wicklin, F., "Viro's Patchworking Disproves Ragsdale's Conjecture", videotape, The Geometry Center, 1997.

  28. Dziadosz, S., and Hernandez, R., Topological zoo, 1995.

  29. Haab, F., Immersions tendues de surfaces dans E3, Comment. Math. Helv. 67 (1992) 182-202.

  30. ----, Surfaces tendues dans E3: des théorèms de structure, to appear in Math. Annalen.

  31. Hantzsche, W., and Wendt, H., Dreidimensionale euklidische Raumformen, Mathematische Annalen, 110 (1935) 571-584.

  32. Hughes, J., personal correspondence, 1992.

  33. Kuiper, N. H., Convex immersions of closed surfaces in E3, Comment. Math. Helv. 35 (1961) 85-92.

  34. ----, Convex immersions of closed surfaces in E3, Comm. Math. Helv. 35 (1961) 85-92.

  35. ----, There is no tight continuous immersion of the Klein bottle into R3, IHES preprint (1983).

  36. Otto, M.-O., Tight surfaces in three-dimensional compact Euclidean space forms, in preparation.

  37. Pinkall, U., Tight surfaces and regular homotopy, Topology 25 (1986) 475-481.

  38. Poritz, J., and Drumm, T., Visualizing fundamental domains, 1996.

  39. Robles, C., Topological zoo: hyperbolic exhibit, 1996.

  40. ----, Introduction to isometries, 1997.

  41. ----, Tilings and tesselations, 1998.

  42. Tolin, R., Optical illusion & projection in domes: a study of Guarino Guarini's Santissima Sindone, 1998.

  43. LiveGraphics3D java applet, http://wwwvis.informatik.uni-stuttgart.de/~kraus/LiveGraphics3D/index.html.

  44. JavaView java applet, http://www-sfb288.math.tu-berlin.de/vgp/javaview/.

  45. eg-models geometry archive, http://www-sfb288.math.tu-berlin.de/eg-models/.

  46. History of Mathematics Archive, http://www-groups.dcs.st-and.ac.uk/~history/index.html.

  47. Index of Famous Curve, http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html.

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Created: 08 Sep 2001
Last modified: 06 Jan 2002 23:04:08
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