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| Presentation | 2011-05-11 14:30 Edge-Unfoldings of Platonic Solids Never Overlap Takashi Horiyama, Wataru Shoji (Saitama Univ.)  COMP2011-14 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We solve an open problem for hundreds of years: Is every edge-unfolding of Platonic solids nonoverlapping? The answer is yes. In other words, if we unfold Platonic solids by cutting along their edges, we can always obtain a flat nonoverlapping simple polygon. (This article is a technical report without peer review.) |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Unfolding / Platonic solids / Enumeration algorithms / Binary decision diagrams / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 25, COMP2011-14, pp. 17-23, May 2011. | |
| Paper # | COMP2011-14 | |
| Date of Issue | 2011-05-04 (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 | COMP2011-14 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2011-05-11 - 2011-05-11 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Shinshu Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2011-05-COMP |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Edge-Unfoldings of Platonic Solids Never Overlap |
| Sub Title (in English) | |
| Keyword(1) | Unfolding |
| Keyword(2) | Platonic solids |
| Keyword(3) | Enumeration algorithms |
| Keyword(4) | Binary decision diagrams |
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| 1st Author's Name | Takashi Horiyama |
| 1st Author's Affiliation | Saitama University (Saitama Univ.) |
| 2nd Author's Name | Wataru Shoji |
| 2nd Author's Affiliation | Saitama University (Saitama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2011-05-11 14:30:00 |
| Presentation Time | 35 minutes |
| Registration for | COMP |
| Paper # | COMP2011-14 |
| Volume (vol) | vol.111 |
| Number (no) | no.25 |
| Page | pp.17-23 |
| #Pages | 7 |
| Date of Issue | 2011-05-04 (COMP) |
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