| Paper Abstract and Keywords |
| Presentation |
2020-03-13 14:15
Enumeration of crease patterns that satisfy locally flat-foldable conditions and solve the hole problem
Riku Nakazato, Yuki Endo, Yoshihiro Kanamori, Jun Mitani (Tsukuba Univ) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The hole problem in origami is, given a crease pattern with an area with the creases missing in it, a problem to consider how to fill in the area with suitable creases. An algorithm for solving the hole problem is known. However, crease patterns output by the algorithm have not been enumerated. In addition, when flat-foldable origami is targeted, it is not guaranteed that the crease patterns output by the algorithm are capable mountain-valley assignments that satisfy conditions of local flat-foldability (valid MV assignments). In our study, we have enumerated crease patterns output by the algorithm, and have implemented a function to determine whether they have valid MV assignments. As a result, we have enumerated crease patterns output by inputting polygons with four and six vertices and have made it possible to determine whether those crease patterns have valid MV assignments. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Origami / The hole problem / Enumeration / Conditions of local flat-foldability / Mountain-valley assignment / / / |
| Reference Info. |
ITE Tech. Rep., vol. 44, pp. 57-60, March 2020. |
| Paper # |
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| Date of Issue |
2020-03-06 (AIT) |
| ISSN |
Print edition: ISSN 1342-6893 Online edition: ISSN 2424-1970 |
| Download PDF |
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| Conference Information |
| Committee |
AIT IIEEJ AS CG-ARTS |
| Conference Date |
2020-03-13 - 2020-03-13 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Tokyo University of Technology |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Expressive Japan 2020 |
| Paper Information |
| Registration To |
AS |
| Conference Code |
2020-03-AIT-IIEEJ-AS-ARTS |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Enumeration of crease patterns that satisfy locally flat-foldable conditions and solve the hole problem |
| Sub Title (in English) |
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| Keyword(1) |
Origami |
| Keyword(2) |
The hole problem |
| Keyword(3) |
Enumeration |
| Keyword(4) |
Conditions of local flat-foldability |
| Keyword(5) |
Mountain-valley assignment |
| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Riku Nakazato |
| 1st Author's Affiliation |
University of Tsukuba (Tsukuba Univ) |
| 2nd Author's Name |
Yuki Endo |
| 2nd Author's Affiliation |
University of Tsukuba (Tsukuba Univ) |
| 3rd Author's Name |
Yoshihiro Kanamori |
| 3rd Author's Affiliation |
University of Tsukuba (Tsukuba Univ) |
| 4th Author's Name |
Jun Mitani |
| 4th Author's Affiliation |
University of Tsukuba (Tsukuba Univ) |
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| Speaker |
Author-1 |
| Date Time |
2020-03-13 14:15:00 |
| Presentation Time |
15 minutes |
| Registration for |
AS |
| Paper # |
AIT2020-64 |
| Volume (vol) |
vol.44 |
| Number (no) |
no.10 |
| Page |
pp.57-60 |
| #Pages |
4 |
| Date of Issue |
2020-03-06 (AIT) |