The O-Sequence: Representation of 3D-Dissection

  • Authors:
  • Hidenori Ohta;Toshinori Yamada;Chikaaki Kodama;Kunihiro Fujiyoshi

  • Affiliations:
  • -;-;-;-

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2008

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Abstract

A 3D-dissection (A rectangular solid dissection) is a dissection of a rectangular solid into smaller rectangular solids by planes. In this paper, we propose an O-sequence, a string of representing any 3D-dissection which is dissected by only non-crossing rectangular planes. We also present a necessary and sufficient condition for a given string to be an O-sequence.