Journal Article Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid

Araki, Yoshiaki  ,  Horiyama, Takashi  ,  Uehara, Ryuhei

20 ( 1 )  , pp.101 - 114 , 2016-02 , Journal of Graph Algorithms and Applications
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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