I'm trying to understand the technique referred to as "tying the knot", but documentation on the internet seems to be much sparser and more obtuse than I like.

So I'm asking here.

As far as I understand, "tying the knot" refers to a way of using laziness to implement something like references in a purely functional way.

I'm trying to write a toy simulation:
I have a population :: [Person]
I want to collect a random subset of possible pairs of distinct people.
So I go to each person in the population and select a subset of the people after him/her in the list; these are pairs in which s/he is the first element.

I want to then be able to ask for all pairs in which a person is the first or the second element.  I could give each person a unique id, but it seems like tying the knot is a valid way to implement this.

Please correct me if I am misunderstanding.

Thank you.

--
          Alex R