You may remember a while back when I made a rope basket. 
Since it was claimed by Daughter #3, I decided to make another. I practiced on a small length and made this coaster.
Then I decided to try an oval basket. I just using cotton clothesline rope and a zig zag stitch.
Ran out of rope!
It does get a bit awkward as it grows.
I wrapped the ends in a big of muslin when I needed to join another piece.
Ran out of rope again.
I’m not sure how this will end up. Stay tuned!
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Looks nice. What are the rough dimensions of your oval base?
I too have cotton clothes line, books on how to, and intend to make these. Looking forward to seeing what you learn and how difficult it could be.
I have two bundles of rope, waiting for me to get brave enough to try this. Looking forward to seeing the final of yours!