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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/13712

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: http://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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