Which knots to know?

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@knot4u post:54

Most people bypass the Double Dragon because it appears difficult to tie at first glance.

Myself I had bypassed the altogether different beast I was used to tie, because I was deceived by this silly name " Double" ! It has not a Double nipping loop, or a Double collar, neither it is a Double Loop ! Why on earth is it called “Double” ? Because of this double coil around its neck ? Which I am not even sure if it is really necessary ? Moreover, no one never mentioned the simple fact that it is just a crossing-knot based loop, i.e. PET = bowline-like ! And I have to tell you that you contributed to my mistake, by this wrong and/or misunderstood comment of yours, at :
http://igkt.net/sm/index.php?topic=3233.msg19363#msg19363

@knot4u post:13

every other Bowline [is] based on an Overhand knot. Even the Water Bowline? Yes, even the Water Bowline. If you don’t see the Overhand knot, then keep looking.

As another example, the Double Dragon is also eliminated from the Bowline family because the working end does NOT enter the nipping turn such that the structure is topologically equivalent to an Overhand knot at that point.

Where is this “overhand knot”, when, clearly, every crossing-knot-based nipping structure / loop is topologically equivalent to the unknot, I wonder !