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I am struggled to draw these types of figures:

I guessed there is a package called the knot library (just learned this thing exist 2 mins ago):

enter image description here

So I am going to try the knot library out. But in case there are some useful advices, I am all ears to hear your input!!! Thank you!

So my challenges for you are that: How to draw the above figure in tikz?

(p.s. I find these figures by random Googling on line. Which are similar to what I wish to draw in my mind, but not the same.)

Edit: I simplify the question.

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    I guess you will get a more concrete answer if you show what you really want. All this is straightforward with the knot library, I guess. – user121799 Dec 17 '18 at 22:03
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    thanks! just precisely the same or similar figures like I posted. I am trying! – annie marie heart Dec 17 '18 at 22:33