Look alike loops

[xarax]

...this fifth collar
 Not sure it worth to have this fifth collar.

The collars are four, not five. The fact that two of them are "closed" U-turns ( around 270, rather than around 180 degrees ) does not mean that we should add the 90 + 90 excessive degrees of each, and count the sum as a new, fifth collar...
Beautiful knot, nevertheless.

[xarax]

  Drawing (.km) files of the Lie s Pretzel collar, φ-shaped crossing knot bowline, presented at Reply#169 (1).
  The ( blue) symmetric Pretzel-shaped collar structure is clearly shown, and the (red) φ-shaped crossing knot nipping structure is clearly shown, too.
   A beautiful secure bowline, with the most wide nipping loop I have ever met - and easy to remember how to tie, because its two parts / links have such clear, easily formed and inspected shapes.
   
1. http://igkt.net/sm/index.php?topic=4125.msg32011#msg32011

[alanleeknots]

Hi All,
       Xarax you are my lucky star, Thanks for the beautyful and clear picture, right away I found another nice loop here.
       very well secure compact and easy to untie loop.
       also compare a picture of two loops here, from (Reply #162)

       謝謝  alan lee.

[xarax]

   I do not think that those two loops ( shown at the second picture ) should be considered as variations of the "same" knot... Their nipping and collar structures are very different.
   The second one is much better than the first - ( which has so many essentially one-rope-diameter sharp turns, because the two segments the turn encircles each time are unfavourably placed regarding the path of the turn, the one on top of, not next to the other).
   However, even in the second one I feel that the Working End does not follow the most proper, "optimum" path, so that all curves become as smooth as possible. I believe you can modify it, and possibly make the curves more "fair", and the whole nub more streamlined. 

[xarax]

   Drawing (.km) file of the Lie s 8-shaped collar, φ-shaped crossing knot bowline, presented at Reply#167 and also shown at Reply#168 (1), and at the attached pictures.
  The ( blue) "open" 8-shaped collar structure is clearly shown, and the (red) φ-shaped crossing knot nipping structure is shown, too - although not as clearly as I had wished...

1. http://igkt.net/sm/index.php?topic=4125.msg31986#msg31986