How might one create a slider such that changing it’s value would allow you to preview different branches of a tree? How would the answer change if you were trying to iterate through a tree of the form {0;x;0} vs {0;0;x}?
Tree statistics -> paths -> list item (here you can insert your slider) -> tree branch
GENIUS! Thank you!
You‘re welcome 
Aagain an other option would be this 
It uses a plugin…
I developed this one to avoid the need of multiple components to just explore a dataTree…
every branching can be taken as a whole by double-click the corresponding slider (turns black and displays a *).
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