You can imagine pi for one trivial example. It has infinite details but it's not infinitely interesting. You can map it to infinite boring story (let's say John moves west/east depending on the next binary digit :) ).

Kolmogorov complexity is the formalism around that distinction.

EDIT now that I think about it - if you take PI in binary and interprete it as utf-8 - every single book every written (or that will ever be written) is in there somewhere :) And there are algorithm to calculate PI to arbitrary digit that are pretty simple.