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https://hdl.handle.net/10119/13712
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| Title: | Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid |
| Authors: | Araki, Yoshiaki
Horiyama, Takashi
Uehara, Ryuhei |
| Keywords: | common development
computational origami
Johnson-Zalgaller solids |
| Issue Date: | 2016-02 |
| Publisher: | Journal of Graph Algorithms and Applications |
| Magazine name: | Journal of Graph Algorithms and Applications |
| Volume: | 20 |
| Number: | 1 |
| Start page: | 101 |
| End page: | 114 |
| DOI: | 10.7155/jgaa.00386 |
| Abstract: | In this paper, we investigate the common unfolding between regular tetrahedra and Johnson-Zalgaller solids. More precisely, we investigate the sets of all edge developments of Johnson-Zalgaller solids that fold into regular tetrahedra. We show that, among 92 Johnson-Zalgaller solids,only J17 (gyroelongated square dipyramid) and J84 (snub disphenoid) have some edge developments that fold into a regular tetrahedron, and the remaining Johnson-Zalgaller solids do not have any such edge development. |
| Rights: | Copyright (C) 2016 Journal of Graph Algorithms and Applications. Yoshiaki Araki, Takashi Horiyama, and Ryuhei Uehara, Journal of Graph Algorithms and Applications, 20(1), 2016, 101-114. |
| URI: | https://hdl.handle.net/10119/13712 |
| Material Type: | publisher |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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| 22285.pdf | | 880Kb | Adobe PDF | View/Open |
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