On Polynomial General Helices in n-Dimensional Euclidean Space $$\mathbb {R}^{n}$$ 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 \(\mathbb {R}^n\), and another method to construct polynomial general helices in \(\mathbb {R}^n\) from polynomial general helices in \(\mathbb {R}^{n+1}\) or \(\mathbb {R}^{n+2}\). Then, we proceed with a method to construct rational helices from polynomial general helices.