A New Method to Obtain PH-Helical Curves in E^(n+1)

Yıl 2021, Sayı: 37, 45 - 57, 31.12.2021

Ahmet Mollaoğulları , Mehmet Gümüş , Kazım İlarslan , Çetin Camcı

https://doi.org/10.53570/jnt.1027564

Öz

Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of this paper is to obtain a method which generate PH-curves and PH-helical curves from a planar curve in Euclidean Space E^(n+1). Furthermore, some examples are given in E^4 and E^5 to explain the method neatly.

Anahtar Kelimeler

PH-curve, helical curve, PH-helical curve, planar curve, polynomial curve

Proje Numarası

FHD-2020-3452

Kaynakça

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