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Published in:
2015 | OriginalPaper | Chapter
9. Spiral-Shaped Surfaces
Authors : S. N. Krivoshapko, V. N. Ivanov
Published in: Encyclopedia of Analytical Surfaces
Publisher: Springer International Publishing
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Abstract
Spiral-shaped surfaces bear a resemblance to spiral surfaces but these surfaces cannot be related to the same class because the spiral surface has the directrix curve only in the form of a spiral on a right circular cone and the generatrix curve doesn’t change its form in the process of the motion along the conical spiral directrix line. But for a directrix curve of any spiral-shaped surface, one may take arbitrary spiral curve laying on any surface.