Geodesic
Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid
Journal of Graph Algorithms and Applications, Special Issue on Selected Papers from the Ninth International Workshop on Algorithms and Computation (WALCOM 2015) , Tome 20 (2016) no. 1, pp. 101-114.

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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. 
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     title = {Common {Unfolding} of {Regular} {Tetrahedron} and {Johnson-Zalgaller} {Solid}},
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Yoshiaki Araki; Takashi Horiyama; Ryuhei Uehara. Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid. Journal of Graph Algorithms and Applications, 
							Special Issue on Selected Papers from the Ninth International Workshop on Algorithms and Computation  (WALCOM 2015)
					, Tome 20 (2016) no. 1, pp. 101-114. doi : 10.7155/jgaa.00386. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00386/

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