The nylon wore out and ripped but the frame was still good.
A quick easy and fairly cheap way to recycle (maybe even up-cycle) the basic folding lawn chair.

materials
lawn chair
paracord 2 packages containing 100ft.
scissors or knife to cut cord.
maybe needle nose pliers for nylon anchors.
strong piece of cardboard about 6x12" to wrap cord around.

Step 1: Clean Up and Out the Frame.

So the nylon straps fell apart and ripped (as they usually do).
I could buy new nylon strapping to replace, but I decided to try something different.
I removed what's left of the nylon by wiggling the metal anchor out of it's place. If the anchors are stubborn, try pliers. (That metal can be recycled.)
Cut away all strapping and remove anchors.

Step 2: Get Your Paracord.

2 packages of paracord (100ft each)
Choose colors that suit your aesthetic.
You can take the time to spray paint the frame if you so desire.
You might need scissors or a knife to cut away any excess cord, and a lighter to carefully melt any frayed ends.

Step 3: Looping Paracord Vertically.

tie one end of your cord to the center bar of the frame and start looping the cord vertically.
(in weaving this would be called the warp.)
If you are comfortable with knot making you can make the knot as fancy as you wish.
Otherwise a series of basic overhand knots should be secure enough.
the cord, right out of the package, will most likely be loose. you can make a simple shuttle from cardboard to keep the cord neat as you go. OR you can also wind the cord into a ball, instead.

Step 4: Tie Off Your Vertical Warp

I wrapped the cord around the outside of the bottom half , looped around middle bar, then to the outside of the top half. wrapping the entire seating area with one continuous cord.

try to keep the cord evenly spaced and parallel.
check to make sure tension is even throughout.
Obviously you don't want it too loose nor, too tight.

tie off when you reach the other end.
I used all 100 feet of cord for this.

Step 5: Basic Weaving Technique.

I wrapped my second color around a cardboard shuttle to make this a little easier.
over- under- over- under etc.
then alternate in opposite direction.
I wove the bottom half of the chair first. starting from the middle out.
Cut the chord then wove the top half from the middle up.

consistency and even spacing will make it look nice as well as give it it's strength.

(if you are familiar with loom weaving techniques you can add weaving flair to this)

Step 6: Final Spacing and Knot

check to make sure the cord is parallel, evenly spaced and with even tension throughout.

tie your knot to make it secure.

trim away any excess cord.

enjoy.