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On a class of orientable and nonorientable strip surfaces.
- Source :
-
International Journal of Mathematical Education in Science & Technology . Aug2022, Vol. 53 Issue 9, p2566-2582. 17p. - Publication Year :
- 2022
-
Abstract
- In this paper a class of regular surfaces, generated by rotation and twist of a rigid line segment, is considered. Firstly a complete description of those surfaces by means of local charts is obtained and then its orientability is characterized in terms of the number of half-twists, taking into account their direction (clockwise or counterclockwise) since changes in the sense of twist are allowed. Indeed a procedure to construct nonorientable surfaces is provided. Illustrative examples and computer-generated plots using the free software Maxima are included. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL geometry
*MATHEMATICS
*GEOMETRIC surfaces
*GEOMETRY
*MOBIUS function
Subjects
Details
- Language :
- English
- ISSN :
- 0020739X
- Volume :
- 53
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematical Education in Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 159297342
- Full Text :
- https://doi.org/10.1080/0020739X.2021.1944677