On a class of orientable and nonorientable strip surfaces
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[1] José Alberto Murillo Hernández
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- Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 53, Nº. 9, 2022, págs. 2566-2582
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
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.
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