Abstract
Let's start with a hands-on demonstration. We take a long, rectangular strip of ad hesive tape (or postage stamps) and wind it diagonally around a cylinder in such a way that the sticky surface of the tape is entirely in contact with the cylinder. It fol lows that the two long edges of the tape must lie along parallel helices. This is true by definition? if we start with a line in a plane and then wrap the plane around a cylinder we get a helix. What about the short edges of the tape? Well, by the same definition, they must lie along parallel helices that are orthogonal to the first two! We call the resulting, familiar object a helical band (FIGURE 1). It plays a central role in this discussion.
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