It looks like you're using a technique similar to what someone once taught me for stowing electrical extension cords. Here is a mediocre link to that technique:

http://www.ehow.com/how_4492857_foot-extension-cord-tangle-free.html

Basically you fold the cord in half. Connect the male & femail plus. Form a look at the non-plug end.

Reach your hand through the loop, grab the "free" side of the doubled cord, and pull it back through loop #1. This creates loop #2.

Reach your hand through loop #2, grab the "free" side of the doubled cord, and pull it back through loop #2. This creates loop #3. Repeat until you there's no "free" side of cord left.

I finish it up by unplugging the plus, pass one through the last loop, and then replug them together.

If you unplug and take the plug out of that last loop, then you just pull to unravel the whole thing.

I suspect this is the same braid, only done on a smaller scale with the biner included with each loop.