Imagine that we have a (very) large shell full of holes, and flexible strings go (randomly) from one hole to another. Inside the shell, there will be a network of strings.
Can one split this network into basic components? Can one say that such a random network is, in some sense, made of:
- lone string segments,
- touching pairs of skew strings,
- touching sets of three strings,
- nothing else?
(Twists and braids being included in 2.) Is this enumeration complete?
Alternatively, can one say what defects are possible in such a network? A tentative list being:
A. open links/tangles,
B. nothing else?
(Knots not being possible, nor anything else?)