IEICE TRANSACTIONS on Fundamentals
The O-Sequence:Representation of 3D-Dissection
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.8 pp.2111-2119
- Publication Date
- 2008/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.8.2111
- Type of Manuscript
- PAPER
- Category
- Algorithms and Data Structures
Authors
Keyword
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Hidenori OHTA, Toshinori YAMADA, Chikaaki KODAMA, Kunihiro FUJIYOSHI, "The O-Sequence:Representation of 3D-Dissection" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 8, pp. 2111-2119, August 2008, doi: 10.1093/ietfec/e91-a.8.2111.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.8.2111/_p
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@ARTICLE{e91-a_8_2111,
author={Hidenori OHTA, Toshinori YAMADA, Chikaaki KODAMA, Kunihiro FUJIYOSHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The O-Sequence:Representation of 3D-Dissection},
year={2008},
volume={E91-A},
number={8},
pages={2111-2119},
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.},
keywords={},
doi={10.1093/ietfec/e91-a.8.2111},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - The O-Sequence:Representation of 3D-Dissection
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2111
EP - 2119
AU - Hidenori OHTA
AU - Toshinori YAMADA
AU - Chikaaki KODAMA
AU - Kunihiro FUJIYOSHI
PY - 2008
DO - 10.1093/ietfec/e91-a.8.2111
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2008
AB - 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.
ER -
English
