Paper Abstract and Keywords |
Presentation |
2014-06-14 13:55
Enumeration of Polyominoes for pmg Tiling Jun Nishioka, Takashi Horiyama (Saitama Univ.) COMP2014-14 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Polyominoes are the two dimensional shapes made by connecting n equal-sized squares, joined along their edges. In this paper, we propose algorithms to enumerate all polyominoes for pmg tiling, i.e., those covering the plane by reflection and glide reflection. Our approach is based on the reverse search, in which we design rules to generate the next. By this approach, appart from the conventional method with trial and error, we can reduce the computational time and also the space complexity. The proof of the enumeration in this paper is based on that for p4 tiling (i.e., tiling by 4-fold rotations). Since new situations arise for pmg tiling, the proof is extended to meet with them.
(This article is a technical report without peer review.) |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Enumeration algorithm / reverse search / tiling / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 80, COMP2014-14, pp. 107-114, June 2014. |
Paper # |
COMP2014-14 |
Date of Issue |
2014-06-06 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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COMP2014-14 |
Conference Information |
Committee |
COMP IPSJ-AL |
Conference Date |
2014-06-13 - 2014-06-14 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Matsuyama, Ehime |
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(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2014-06-COMP-AL |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Enumeration of Polyominoes for pmg Tiling |
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Enumeration algorithm |
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reverse search |
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tiling |
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1st Author's Name |
Jun Nishioka |
1st Author's Affiliation |
Saitama University (Saitama Univ.) |
2nd Author's Name |
Takashi Horiyama |
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Saitama University (Saitama Univ.) |
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Speaker |
Author-1 |
Date Time |
2014-06-14 13:55:00 |
Presentation Time |
25 minutes |
Registration for |
COMP |
Paper # |
COMP2014-14 |
Volume (vol) |
vol.114 |
Number (no) |
no.80 |
Page |
pp.107-114 |
#Pages |
8 |
Date of Issue |
2014-06-06 (COMP) |
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