The O-Sequence:Representation of 3D-Dissection
Hiroyuki Ohta, Tōru Yamada, Chikaaki Kodama, Kunihiro Fujiyoshi · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2008
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.