Article
The Geometry of Ribbons
Authors
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Abstract
In this study, the representations of the ribbons in the 3-dimensional Euclidean space as the developable ruled surface are given. By calculating the average curvature of the ribbon surface, the results regarding the mean curvature according to the character of the centerline are obtained. In addition, examples supporting these results are given.
Keywords
Ruled surface, Surface reconstruction, Helical Ribbons, Serret-Frenet frame.
Citation
Arslan, K., Bulca, B., & Ozturk, G. (2021). The geometry of ribbons. Turkish Journal of Science, 6(1), 36–44. https://doi.org/10.66833/TJOS-2021-0006
K. Arslan, B. Bulca and G. Ozturk, “The geometry of ribbons,” Turkish Journal of Science, vol. 6, no. 1, pp. 36–44, 2021, doi: 10.66833/TJOS-2021-0006.
Arslan K, Bulca B, Ozturk G. The geometry of ribbons. Turkish Journal of Science. 2021;6(1):36–44. doi:10.66833/TJOS-2021-0006.
Arslan, K., Bulca, B. and Ozturk, G. (2021), ‘The geometry of ribbons’, Turkish Journal of Science, 6(1), pp. 36–44. Available at: https://doi.org/10.66833/TJOS-2021-0006.
Arslan, Kadri, et al. “The Geometry of Ribbons.” Turkish Journal of Science, vol. 6, no. 1, 2021, pp. 36–44. https://doi.org/10.66833/TJOS-2021-0006.
Arslan, Kadri, Betul Bulca, and Gunay Ozturk. “The Geometry of Ribbons.” Turkish Journal of Science 6, no. 1 (2021): 36–44. https://doi.org/10.66833/TJOS-2021-0006.
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Published by: Engineering Journals
