Automating Crochet Patterns for Surfaces of Revolution
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A surface of revolution is created by taking a curve in the xy-plane and rotating it about some axis. We develop a program which automatically generates crochet patterns for surfaces by revolution when they are obtained by rotating about the x-axis. In order to accomplish this, we invoke the arclength integral to determine where to take measurements for each row. In addition, a distance measure is created to optimally space increases and decreases. The result is a program that will take a function, x-bounds, crochet gauge, and a scale in order to produce a polished crochet pattern.
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