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This tie-dye technique is an ancient Japanese dyeing process called Shibori. "Arashi Shibori", which means, "storm", is the term used for patterns created by wrapping fabric around a pole. String is then wrapped around the fabric compressing it into pleats. This pattern can be seen on cotton & silk kimonos and looks very much like bamboo. Other forms of Shibori such as little circles looking like miniature donuts are made by pulling up little bits of fabric and tying string around the end to resist the dye.
For Shibori dyeing, the fabric is pushed to the end of the pole and dipped into a dye bath. In Japan large smooth wooden poles are used and it takes two big guys to push the pleated fabric to one end of the pole. The modern version uses PVC pipe instead, which is much lighter in weight.
For Shibori pleating I use polyester fabric, which is then heat set and accented with textile paint.
There are many variations to this technique and it has international variations as well. Here are some references you can use to get detailed information.