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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
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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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 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
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 
Sub Title (in English)  
Keyword(1) Enumeration algorithm  
Keyword(2) reverse search  
Keyword(3) tiling  
1st Author's Name Jun Nishioka  
1st Author's Affiliation Saitama University (Saitama Univ.)
2nd Author's Name Takashi Horiyama  
2nd Author's Affiliation 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 
Date of Issue 2014-06-06 (COMP) 

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