Another example: the Jargon File definition for self-reference.
(Confession: I did manage to implement an infinite loop once--the old classic "two functions calling each other" routine...)
Doh! This was supposed to be a followup on the "columnists" topic...
Not an infinite loop, but (in)finite recursion. More like an
inward spiral, depending on the size of the domain, it has the
potential of eventually collapse upon itself, and therefore end.
An infinite loop doesn't necessarily consume increasing amounts of resources that would impede its "progress".