How no-tangle is it? Well...
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I decided to test out how no-tangle the Dyneema Warbonnet sells is. So I cut the guy-lines for my tarp..and then made the above. I put everything together and then wadded it up repeatedly to make something that would render most Christmas lights useless.
After taking the picture I was able to find an end in there and began pulling. I was able to have the entire thing undone in under 15 seconds with only 1 or 2 moments of it getting tight. Easy as it gets!
edit: it's 6 individual pieces balled up in the photo.