See the attached article. It explains the confused terminology about these knots.
For the quick explanation look at the photos and read the conclusion (the last page). The bulk of the article is just suporting documentation and research.
Regarding some of the statements in this thread:
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I use the double Fisherman's when attaching a biner to my line.
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I think you mean the Scaffold knot. See Figures 2A and 2B in the attached article.
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Aren't they the same knot with different names? Double Fisherman's and double overhand?
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They are different knots. The Double Fisherman's (Figures 1A and 1B in the attached article) is composed of two (2) double overhand knots (Figures 3A and 3B) each tied around the standing part of the other.
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I was thinking of the Double Fisherman's Loop (DFL), which is one half of the Double Fisherman's Knot. The DFL makes a really good rope termination for a carabiner.
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'Double Fisherman's Loop' is a relatively recent name that tries to reconcile some of the confused terminology regarding 'Double Fisherman's'. But, it only causes more confusion because a 'Fisherman's Loop' is a completely different knot. 'Double Fisherman's Loop' has no historical basis and is just one more term that is used in different ways by different people.
Depending on how you halve it, one half of the Double Fisherman's knot is either:
--a single fishermans (Figure 4--two (2) Single Overhand knots, each tied around the standing part of the other)
or
--one (1) double overhand knot (i.e. if you untied the double overhand knot in the red rope in Figure 1A and pulled it out of the remaining double overhand knot that is in the green rope, you would be left with one double overhand knot, which is the knot shown is Figures 3A and 3B. Put simply, untie the knot in the red rope and pull it out, you are left with the same knot as 3A/3B).
Maybe Tom could put this article in the Articles section here on TBzz?
Regarding the original question (which as kN noted asks about the stopper knot), I have not noticed that the double overhand creeps or slips, but I have not had it in use for as long as some of the other, related knots.
Regarding the other, related knots, I have used the scaffold knot for years to form the loops on my hitch cords, and I have noticed some creepage in some of the cords.
This:
http://www.caves.org/section/vertical/nh/50/knotrope.html
is a study that looked at the breaking strength of, among others, the single fisherman's and the double fisherman's knots.
Chris I still owe you an email about the chain saw training.