A (ingenious) hitch, invented recently by SS369, helped me realize that, in this thread, I had not considered the "oldest" "basic element" known to man, and the most useful one ! It is, essentially, the same friction mechanism that keeps the threads/warp yarns from slipping through a weaved fabric, a human invention well known to every prehistoric housewife that have lived thousands of years ago...

In fact, weaved fabrics are nothing else/more than the repetition of this mechanism along and across the area of the cloth. I call it the "ww" element/friction mechanism, ( the
weft and warp threads mechanism ), but any suggestion for a more appropriate name would be mush appreciated. It is not made by nipping loops, collars, riding turns or rope embraces/twists, so it can be considered as a fifth "basic element", along with those other four. ( In fact it was, probably, one of the first tangled-rope made tools that were used by man, and, certainly, the first I should have described ! )
The series of the attached pictures show how we arrive, using this ww mechanism, from a 3-warp yarns fabric, to a ww friction hitch. If we double the wefts, so that the one is crossed with the other at each node of the weaved structure, we get a most efficient ww friction hitch, the one devised by SS369. If we follow the path of the white rope/warp, we can see how is is squeezed in its belly, when it passes
over the wefts, how it is squeezed in its back, when it passes
underneath them, and how it is squeezed in its shoulders, when it passes
in between them. This squeezing is the trick of the ww friction mechanism. We can think of many other similar hitches, even
a whole class of knots that utilize this same mechanism - or any combination of this mechanism with the other four .
After the publication of the "SS brakehitch" ww friction hitch, I made a little litterature search, and I have discovered that a similar hitch could have been invented by D. Smith, had he replaced the pole of his KC hitch with a rope. (1) Also, the ABoK # 1755b and ABoK#1758 hitches are similar hitches, them too tied on a pole. But it is
around a rope that this hitch, and any other similar hitch that is based on this friction mechanism, works at its best, better than any other fiction hitch I know.
1)
http://igkt.net/sm/index.php?topic=542.0