A New Class of Ruled Surfaces
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Graphical Abstract
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Abstract
It is interesting to construct a new ruled surface with good shape for architectural design or sculpture. A new class of ruled surfaces is constructed, which are generated by a straight line through two moving points respectively along the circumferences of two mutually perpendicular fixed circles. This class of ruled surfaces contains Mbius-like band and right conoid as special cases. And their self-intersection locus is determined as well.
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