Ruled surfaces corresponding to hyper-dual curves

Year 2022, Volume: 51 Issue: 1, 187 - 198, 14.02.2022

Selahattin Aslan , Murat Bekar , Yusuf Yaylı

https://doi.org/10.15672/hujms.988245

Cited By: 1

Abstract

In this paper, we give the definition of the concept of unit hyper-dual sphere. We take a subset of this sphere and show that each curve on this subset represents two ruled surfaces in three dimensional real vector space such that these ruled surfaces have a common base curve and their rulings are perpendicular. Finally, we give some examples to illustrate the applications of our main results. 

Keywords

Hyper-dual numbers, Unit hyper-dual sphere, Hyper-dual curves, Ruled surfaces, Principal curve

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