Information: Join today and make your research activities more affordable! Technical workshop participation fees and annual registration fees are available at member rates.
Notice: [Important] Announcement of Changes to Registration Fee Payment and Manuscript Upload Procedures for IEICE Technical Meetings
IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2013-06-24 10:00
Morpion Solitaire: a new upper bound 121 of the maximum score
Akitoshi Kawamura (Univ. of Tokyo), Takuma Okamoto, Yuichi Tatsu, Yushi Uno, Masahide Yamato (Osaka Prefecture Univ.) COMP2013-19
Abstract (in Japanese) (See Japanese page) 
(in English) Morpion Solitaire is a pencil-and-paper game for a single player, popular in several countries including
France. A move in this game consists of putting a cross at a lattice point and then drawing a line segment that
passes through exactly ve consecutive crosses. The objective is to make as many moves as possible, starting from a
standard initial con guration of crosses. For one of the variants of this game, called 5D, we prove the upper bound
121 on the number of moves. This is done by introducing line-based analysis, and improves on the known upper
bound 138 obtained by potential-based analysis.
Keyword (in Japanese) (See Japanese page) 
(in English) pencil-and-paper game / lattice points / line-based analysis / / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 108, COMP2013-19, pp. 1-6, June 2013.
Paper # COMP2013-19 
Date of Issue 2013-06-17 (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)
Download PDF COMP2013-19

Conference Information
Committee COMP  
Conference Date 2013-06-24 - 2013-06-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Nara Women's University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2013-06-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Morpion Solitaire: a new upper bound 121 of the maximum score 
Sub Title (in English)  
Keyword(1) pencil-and-paper game  
Keyword(2) lattice points  
Keyword(3) line-based analysis  
Keyword(4)  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Akitoshi Kawamura  
1st Author's Affiliation University of Tokyo (Univ. of Tokyo)
2nd Author's Name Takuma Okamoto  
2nd Author's Affiliation Osaka Prefecture University (Osaka Prefecture Univ.)
3rd Author's Name Yuichi Tatsu  
3rd Author's Affiliation Osaka Prefecture University (Osaka Prefecture Univ.)
4th Author's Name Yushi Uno  
4th Author's Affiliation Osaka Prefecture University (Osaka Prefecture Univ.)
5th Author's Name Masahide Yamato  
5th Author's Affiliation Osaka Prefecture University (Osaka Prefecture Univ.)
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
21st Author's Name  
21st Author's Affiliation ()
22nd Author's Name  
22nd Author's Affiliation ()
23rd Author's Name  
23rd Author's Affiliation ()
24th Author's Name  
24th Author's Affiliation ()
25th Author's Name  
25th Author's Affiliation ()
26th Author's Name / /
26th Author's Affiliation ()
()
27th Author's Name / /
27th Author's Affiliation ()
()
28th Author's Name / /
28th Author's Affiliation ()
()
29th Author's Name / /
29th Author's Affiliation ()
()
30th Author's Name / /
30th Author's Affiliation ()
()
31st Author's Name / /
31st Author's Affiliation ()
()
32nd Author's Name / /
32nd Author's Affiliation ()
()
33rd Author's Name / /
33rd Author's Affiliation ()
()
34th Author's Name / /
34th Author's Affiliation ()
()
35th Author's Name / /
35th Author's Affiliation ()
()
36th Author's Name / /
36th Author's Affiliation ()
()
Speaker Author-2 
Date Time 2013-06-24 10:00:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2013-19 
Volume (vol) vol.113 
Number (no) no.108 
Page pp.1-6 
#Pages 6 
Date of Issue 2013-06-17 (COMP) 

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan