The Geometry of Ribbons
Authors : Kadri ARSLAN, Betül BULCA, Günay ÖZTÜRK
Pages : 36-44
View : 8 | Download : 3
Publication Date : 2021-04-30
Article Type : Research
Abstract :In this study, the representations of the ribbons in the 3-dimensional Euclidean space as the developable ruled surface are given. However, by calculating the average curvature of the ribbon surface, the results regarding the mean curvature according to the character of the centerline were obtained. In addition, examples supporting these results are given.Keywords : Ruled surface, Surface reconstruction, Helical Ribbons, Serret-Frenet frame