Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid

Common unfolding of a regular tetrahedron and a Johnson-Zalgaller solid is investigated. More precisely, we investigate the sets of all edge unfoldings of Johnson-Zalgaller solids. Among 92 Johnson-Zalgaller solids, some of edge unfolding of J17 and J84 admit to fold into a regular tetrahedron. On the other hand, there are no edge unfolding of the other Johnson-Zalgaller solids that admit to fold into a regular tetrahedron.WALCOM: Algorithms and Computation, 9th International Workshop, WALCOM 2015, Dhaka, Bangladesh, February 26-28, 2015. Proceeding