People have been making coiled baskets for thousands of years using the materials at hand such as pine needles or other plant materials. More recently, the coiling technique has been successfully used substituting cotton cord and fabric strips to make decorative and unique items.
The fabric coiling technique entails cutting or tearing fabric into strips which are then wrapped around cotton cording or clothesline. The wrapped cord is then coiled into the desired shape and then fixed in place by glueing or sewing. This technique can be used to make baskets, rugs, and purses among other things.
There are two methods for sewing the coils together. The first method is to wrap the fabric strip around the previous coil in regular intervals as you wrap the cord to fix it in place. The other method is to sew the coils together by machine using a zig-zag stitch.
For more information on making coiled fabric projects, visit the websites listed below. I have included some book recommendations as well.
This project is presented by the DIY Network.
Colorful Spirits Coiled Baskets
This is a project that uses yarn rather than fabric, but it clearly illustrates the coiling and sewing method.
Fabric Easter Basket
This tutorial shows how to stitch this basket together by hand.
This is a project geared toward children from FamilyFun.com
Easter Basket Making
If you would like to make a basket with handles, here are easy instructions from FamilyFun.com
Trait-tex Baskets (Coiling)
This is another project using yarn and smaller diameter cording with helpful illustrations of the technique.
Covered Cord Easter Basket
A project from Simplicity using the machine-stitched assembly method. Link opens a .pdf file.
How to Sew a Fabric Bowl
This tutorial from CraftStylish.com explains how to stitch a coiled fabric bowl by machine.
Coiled Fabric Baskets
This site is for inspiration as there are no instructions, but examples of finished baskets that are beautiful. If you click on the images to enlarge them, you can see how they are machine sewn together.
Below is a video showing a brief clip on the machine sewing method:
If you are having trouble finding the cotton cord for wrapping, here are some sizes available online: