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A Simple Method of the \({\rm\kern-.15em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}\) Surface Drawing Suitable for Teaching Materials with the Aid of CAS

  • Masataka Kaneko
  • Hajime Izumi
  • Kiyoshi Kitahara
  • Takayuki Abe
  • Kenji Fukazawa
  • Masayoshi Sekiguchi
  • Yuuki Tadokoro
  • Satoshi Yamashita
  • Setsuo Takato
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5102)

Abstract

The authors have been developing KETpic as a bundle of macro packages for Computer Algebra Systems (CASs) to draw fine \({\rm\kern-.15em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}\) -pictures. Recently we have developed a new method of the surface drawing using KETpic. The equation of envelopes is used to draw ridgelines of surfaces. Also the technique of hidden line elimination is used. By these methods, we can draw 3D-graphics which are so simple that the global (i.e. sketchy) shapes of them are easily understood.

Keywords

Mathematics Classroom Computer Algebra System Morse Theory Local Shape Edge Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Kaneko, M., Abe, T., Sekiguchi, M., Tadokoro, Y., Fukazawa, K., Yamashita, S., Takato, S.: CAS-aided Visualization in LATEX documents for Mathematical Education. Teaching Mathematics and Computer Science (to appear)Google Scholar
  2. 2.
    Milnor, J.: Morse theory. Princeton Univ. Press, New Jersey (1963)zbMATHGoogle Scholar
  3. 3.
    Sekiguchi, M., Yamashita, S., Takato, S.: Development of a Maple Macro Package Suitable for Drawing Fine TEX-Pictures. In: Iglesias, A., Takayama, N. (eds.) ICMS 2006. LNCS, vol. 4151, pp. 24–34. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  4. 4.
    Sekiguchi, M., Kaneko, M., Tadokoro, Y., Yamashita, S., Takato, S.: A New Application of CAS to LaTeX-Plottings. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2007. LNCS, vol. 4488, pp. 178–185. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  5. 5.

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Masataka Kaneko
    • 1
  • Hajime Izumi
    • 1
  • Kiyoshi Kitahara
    • 1
  • Takayuki Abe
    • 1
  • Kenji Fukazawa
    • 2
  • Masayoshi Sekiguchi
    • 1
  • Yuuki Tadokoro
    • 1
  • Satoshi Yamashita
    • 1
  • Setsuo Takato
    • 3
  1. 1.Kisarazu National College of Technology, JapanKogakuin UniversityJapan
  2. 2.Kure National College of Technology Japan
  3. 3.Toho UniversityJapan

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