Wouldn’t the best option be to construct the hammock like a standard hammock in constructed? They use regular rope that probably isn’t much unlike 550-pound parachute cord. What they do is take the multiple lines that are woven together to form the net section and join them up and braid them on either end. Combining multiple lines together in a good braid will multiply the strength of the line considerably (quite a bit more than just by the number of lines, if I recall correctly).
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“Hiking is just walking where it’s okay to pee. Sometimes old people hike by mistake.” — Demitri Martin