"who already sometimes develop whole designs for us"

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Note added at 34 mins (2007-02-15 17:32:25 GMT)
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Prefer "adapt" from Margaret.

"change around" is another alternative.

re-tie the design in a new way/anew
re-tie entire designs in a new way
re-tie anew entire/whole designs

tie together entirely new designs

or:
draw up (completely/entirely) new designs

"re-tie all knots/cords" to create completely new designs


also thought of "re-weave" but maybe not in this context.

http://www.artsci.washington.edu/news/Autumn03/TechnologyArt...
re-tie treadles to create a complex design.


http://castletapestry.com/1custom/
re-weave existing tapestries

http://www.artsstudio.org/teaching.htm
re-weave complex fabrics
http://www.hercastletapestry.com/classic.html
re-weave a design

http://boards.theforce.net/Message.aspx?topic=9541424
draw up a new design


http://shipmodeling.info/knots.htm
tie good knots tie plenty
the safety of the ship and crew could depend upon whether a knot was correctly tied. On a fully rigged ship, several miles of rigging incorporated thousands of knots. There was a different knot for every chore, from the simple hitch to the most ornate Turk's Head. Tying knots became a craft in itself carried out during long months at sea. Knot boards served as useful training references as well as object of pride.

http://www.fish.wa.gov.au/fishtales/knots/tied4.htm
Re-tie all your knots after each titanic struggle or before each fishing trip.

http://www.michaels.com/art/online/projectsheet?pid=c00348
tie all cords together