Universal Measuring Devices with Rectangular Base

  • Jin Akiyama
  • Hiroshi Fukuda
  • Gisaku Nakamura
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2866)

Abstract

We consider a device with rectangular base having no gradations. We show that the number of directly measurable amounts of liquid using the device with its vertices as markers is always 13, independent of its shape. Then we show how the device can measure any integral amount of liquid between 1 and 858 liters.

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References

  1. 1.
    Akiyama, J., Fukuda, H., Nakamura, G., Sakai, T., Urrutia, J., Zamora-Cura, C.: Universal measuring devices without gradations. In: Akiyama, J., Kano, M., Urabe, M. (eds.) JCDCG 2000. LNCS, vol. 2098, pp. 31–40. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  2. 2.
    Akiyama, J., Fukuda, H., Nakamura, G., Nara, C., Sakai, T., Urrutia, J.: Universal measuring devices with triangular bases (submitted)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Jin Akiyama
    • 1
  • Hiroshi Fukuda
    • 2
  • Gisaku Nakamura
    • 1
  1. 1.Research Institute of Educational DevelopmentTokai UniversityTokyoJapan
  2. 2.School of Administration and InformaticsUniversity of ShizuokaShizuokaJapan

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