The Geometry of Ribbons

Yıl 2021, Cilt: 6 Sayı: 1, 36 - 44, 30.04.2021

Kadri Arslan , Betül Bulca , Günay Öztürk

Öz

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.

Anahtar Kelimeler

Ruled surface, Surface reconstruction, Helical Ribbons, Serret-Frenet frame

Kaynakça

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