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    $\begingroup$ But not every "walk" gives you a nice non-self-intersecting net mathworld.wolfram.com/Unfolding.html $\endgroup$ Commented Jan 19, 2016 at 7:38
  • $\begingroup$ @Dr.belisarius Thanks for the link. I was suspecting that and going to address it next time I found more time. But I wasn't worried because I wasn't expected this can be a problem in such simple cases :-/ My initial thought was, it will only be a problem for non convex polyhedra. p.s. Nice answer, I like knowledge hub - like posts like yours. $\endgroup$ Commented Jan 19, 2016 at 8:45