How to fold/unfold a carton box in Grasshopper?

[maje90 (Riccardo Majewski)]

So… for the topology + shortest walk = chained transformations:
(you’ll need Shortest Walk Gh | Food4Rhino plugin)

(you can change the static face index, but that require also you to flip some folding line…)
boxing.3dm (617.2 KB)
boxing.gh (21.3 KB)

Note how the polysurface have some congruent edge not joined (like near cursor)