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.
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Communicated by Wolfgang Sprössig
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Altunkaya, B., Kula, L. On Polynomial General Helices in n-Dimensional Euclidean Space \(\mathbb {R}^{n}\). Adv. Appl. Clifford Algebras 28, 4 (2018). https://doi.org/10.1007/s00006-018-0835-1
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DOI: https://doi.org/10.1007/s00006-018-0835-1