Universal Measuring Devices with Rectangular Base

  • Jin Akiyama
  • Hiroshi Fukuda
  • Gisaku Nakamura
Conference paper

DOI: 10.1007/978-3-540-44400-8_1

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2866)
Cite this paper as:
Akiyama J., Fukuda H., Nakamura G. (2003) Universal Measuring Devices with Rectangular Base. In: Akiyama J., Kano M. (eds) Discrete and Computational Geometry. JCDCG 2002. Lecture Notes in Computer Science, vol 2866. Springer, Berlin, Heidelberg

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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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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