一类新的直纹面

A New Class of Ruled Surfaces

摘要

摘要:为建筑设计和雕塑构造一类具有优美形状的新型直纹面是有趣的．被构造的这一类新型直纹面是由通过两个互相垂直圆上经过两个动点的直线而生成．它包含类似莫比乌斯带和正劈锥面的特殊案例．此外还分别确定了它们自交线的轨迹．

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.