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Paper Abstract and Keywords
Presentation 2025-03-07 15:10
Construction of Common Unfolding Using the Fixed Point Propagation Method
Taiga Goto, Tonan Kamata, Ryuhei Uehara (JAIST) COMP2024-31
Abstract (in Japanese) (See Japanese page) 
(in English) An unfolding of a polyhedron is a polygon obtained by cutting and unfolding its surface onto a plane. A common unfolding is a polygon that serves as an unfolding for two different polyhedra. The existence of common unfoldings between distinct Platonic solids remains an open problem. This study introduces a method using the fixed point propagation method to construct a common unfolding between a regular octahedron and a regular tetrahedron. The results confirm that by allowing a small margin of error, the procedure terminates, yielding a common unfolding between the octahedron and a nearly regular tetrahedron.
Keyword (in Japanese) (See Japanese page) 
(in English) common unfolding / computational origami / fixed point propagation method / Platonic solids / / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 424, COMP2024-31, pp. 37-42, March 2025.
Paper # COMP2024-31 
Date of Issue 2025-02-28 (COMP) 
ISSN 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 COMP2024-31

Conference Information
Committee COMP  
Conference Date 2025-03-07 - 2025-03-07 
Place (in Japanese) (See Japanese page) 
Place (in English) Ochanomizu University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Theoretical Computer Science, etc 
Paper Information
Registration To COMP 
Conference Code 2025-03-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Construction of Common Unfolding Using the Fixed Point Propagation Method 
Sub Title (in English)  
Keyword(1) common unfolding  
Keyword(2) computational origami  
Keyword(3) fixed point propagation method  
Keyword(4) Platonic solids  
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1st Author's Name Taiga Goto  
1st Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
2nd Author's Name Tonan Kamata  
2nd Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
3rd Author's Name Ryuhei Uehara  
3rd Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Speaker Author-1 
Date Time 2025-03-07 15:10:00 
Presentation Time 30 minutes 
Registration for COMP 
Paper # COMP2024-31 
Volume (vol) vol.124 
Number (no) no.424 
Page pp.37-42 
#Pages 6 
Date of Issue 2025-02-28 (COMP) 

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