摘要
两条莫比乌斯(Mobius)带沿边缘粘合可形成一个克莱因(Klein)瓶。本文给出一种简单方法:由平面上一条简单闭曲线C(闭环)和位于闭环C内部的一条简单曲线段L可以生成一条Mobius带。基于这一原理,由平面上一条简单C闭环和位于C内部的另一条简单闭环C 0就可以生成一个Klein瓶。
A Klein bottle can be generated by sticking boundaries of two Mobius strips.In this paper,we present a simple method to generate a Mobius strip based on a closed circle C and a simple curve L located inner region of C in the plane.By this principle,we can generate a Klein bottle based on a larger closed circle C and a smaller closed circle C0 located in inner region of C in the plane.
作者
赵姣珍
许道云
ZHAO Jiaozhen;XU Daoyun(Faculty of Big Data and Information Engineering,College of Humanities&Sciences of Guizhou Minzu University,Guiyang 550025,China;College of Computer Science and Technology,Guizhou University,Guiyang 550025,China)
出处
《贵州大学学报(自然科学版)》
2020年第6期20-23,共4页
Journal of Guizhou University:Natural Sciences
基金
国家自然科学基金资助项目(61762109)。