Chapter

Discrete and Computational Geometry

Volume 2866 of the series Lecture Notes in Computer Science pp 1-8

Universal Measuring Devices with Rectangular Base

  • Jin AkiyamaAffiliated withResearch Institute of Educational Development, Tokai University
  • , Hiroshi FukudaAffiliated withSchool of Administration and Informatics, University of Shizuoka
  • , Gisaku NakamuraAffiliated withResearch Institute of Educational Development, Tokai University

* Final gross prices may vary according to local VAT.

Get Access

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.