On Polynomial General Helices in n-Dimensional Euclidean Space R-n

Abstract

In this work, we study the so-called polynomial general helices in an arbitrary dimensional Euclidean space. First, we give a method to construct helices from polynomial curves in n-dimensional Euclidean space R-n, and another method to construct polynomial general helices in R-n from polynomial general helices in Rn+1 or Rn+2. Then, we proceed with a method to construct rational helices from polynomial general helices.