Half‐twist surfaces enclosed in a sphere
作者:
Joseph Macdonnell,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1980)
卷期:
Volume 11,
issue 4
页码: 493-497
ISSN:0020-739X
年代: 1980
DOI:10.1080/0020739800110405
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Self‐intersecting surfaces of an integral number of half twists offer useful visual models. They display interesting symmetries and non‐orientable surfaces when N is odd. Since these are ruled surfaces they are constructed with relative ease inside a transparent sphere. The equations are worked out for the pairs of points which determine the rulings in terms of angles Ø and ø.
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