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That all depends on the quality of the whipping. I've had tape come off on me and I hate it. ...
It looks like cory used a whipping that doesn't pierce the rope, similar to this one:
However- if the whipping were a style that pierces the rope, the whipping would have the advantage of locking the end of the cover down to the end of the core.
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This can be improved upon, for tightness and probable locking of the cover to core by force of compression.
In the image provided by Nick, treat the tying as being that of the
Strangle knot, but for whipping, with more turns. I don't know what your material was, but I find that when using
mason line (which comes in some wild colors, too -- neon pink / green / ... ) a minimum of 4 and comfortable maximum of 6 wraps fits nicely over the TWO twists of the ends; in, what, about 50-80# nylon monofilament fish line (which is quite tough vs. abrasion), the number of wraps needs to be increased to about 7-9 to cover the underlying Overhand twists (two --one more than for the usual Dble.Overhand). (One possible other advantage to using fishing line is that it can be firm enough to aid the insertion of the bight-end when tying it (vs. using forceps or other help).)
So, in reference to the sketch, I lay the end, with a stopper knot (Overhand or Ashley's --quick & simple) in it for purchase for tools in tightening, on the rope, then make the requisite overwraps, and then tuck in A BIGHT (this has two purposes: avoids having to figure right-size and cut and then waste whipping material; and allows for a secondary securing binding structure). This forms a normal Strangle with multiple overwraps; I then add a 2nd underlying overhand twist by simply tucking the end around the bight, which twist is worked under the wraps.
The bight-end should be pointing as it is in Nick's images, towards the rope end, for long ropes. It seems easier to tie it in the opposite direction, but then one will need to be able to either flip a large bight around the rope (pull it through...) or over the store of whipping material; with it towards the end, one simply wraps one side of it around the rope end.
The multiple Strangle knot is hauled DAMN TIGHT(tm) with tools:
something to grip the ends (the bight easily forms a Pile Hitch around a screw driver; forceps grip the stoppered end with a couple wraps for strength); and pliers to iteratively squeeze the body of the whipping to help even out the high tension at the ends.
After the Strangle is set, then the bight end can be finished, by wrapping non-end side around & around, 2-5 times; then just haul on its end to set. Both ends of the whipping will exit this structure on the same end of it.
*kN*