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Paper Abstract and Keywords
Presentation 2024-03-14 10:30
Number of Solutions of Pentahex and Heptiamond Puzzles
Toshihiro Shirakawa COMP2023-28
Abstract (in Japanese) (See Japanese page) 
(in English) Packing puzzles, also known as plastic puzzles, have been considered difficult to calculate the total number of solutions when the pieces is many.
By dividing the board into two parts, finding the solution of each part, and combining them,
We found the total number of solutions to Pentahex (Tenyo's Plastic Puzzles No.22) and Heptiamond (No.24), which were previously unknown.
Pentahex has 38,392,870,484,072 solutions and Heptiamond has 231,363,869,366 solutions.
Keyword (in Japanese) (See Japanese page) 
(in English) Pentahex / Heptiamond / Packing puzzle / Enumlation / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 444, COMP2023-28, pp. 1-5, March 2024.
Paper # COMP2023-28 
Date of Issue 2024-03-07 (COMP) 
ISSN 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)
Download PDF COMP2023-28

Conference Information
Committee COMP  
Conference Date 2024-03-14 - 2024-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Theoretical Computer Science, etc 
Paper Information
Registration To COMP 
Conference Code 2024-03-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Number of Solutions of Pentahex and Heptiamond Puzzles 
Sub Title (in English)  
Keyword(1) Pentahex  
Keyword(2) Heptiamond  
Keyword(3) Packing puzzle  
Keyword(4) Enumlation  
1st Author's Name Toshihiro Shirakawa  
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Date Time 2024-03-14 10:30:00 
Presentation Time 30 minutes 
Registration for COMP 
Paper # COMP2023-28 
Volume (vol) vol.123 
Number (no) no.444 
Page pp.1-5 
Date of Issue 2024-03-07 (COMP) 

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