the first one is similar to how I draw braids. ^_^
hm, actually, back in May, I had tried figuring out a slightly more exact way, which is even more similar to your number one because of those specific lines. But I never did finalize it. I might should sometime. sta.sh/0bxqxcvsqip Maybe I should do a bit of a study about braids and make a tutorial with some illustrations of how braids lay.
The second drawing of your number two looks a lot like a braid from the side, by the way. Doing it that way would probably make it a lot easier to draw a braid twisting.