Skip to main content
SpringerLink
Log in

Universal Measuring Devices with Rectangular Base

  • Conference paper
Discrete and Computational Geometry (JCDCG 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2866))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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)

    Chapter  Google Scholar 

  2. Akiyama, J., Fukuda, H., Nakamura, G., Nara, C., Sakai, T., Urrutia, J.: Universal measuring devices with triangular bases (submitted)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute of Educational Development, Tokai University, Tokyo, 151-0063, Japan

    Jin Akiyama & Gisaku Nakamura

  2. School of Administration and Informatics, University of Shizuoka, Shizuoka, 422-8526, Japan

    Hiroshi Fukuda

Authors
  1. Jin Akiyama
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hiroshi Fukuda
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Gisaku Nakamura
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Research Institute of Education, Tokai University, 2-28-4 Tomigaya, Shibuya-ku Tokio, Japan

    Jin Akiyama

  2. Ibaraki University, Nakanarusawa, Hitachi, 316-8511, Ibaraki, Japan

    Mikio Kano

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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. https://doi.org/10.1007/978-3-540-44400-8_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-44400-8_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20776-4

  • Online ISBN: 978-3-540-44400-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation